JP2008111673A - Equivalent material constant calculation method, program, recording medium, and equivalent material constant calculation device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an equivalent material constant calculation method, a program, a recording medium, and an equivalent material constant calculation device capable of calculating an equivalent material constant with high accuracy.
First, a layered model is divided into a component existence region 21 and a component non-existence region 22 by an area classification unit 11, and the component existence region 21 and the component non-existence region 22 are divided into a plurality of subdivisions by a subdivision unit 12. The subdivided regions 25 are subdivided. The equivalent material constant calculation means 13 calculates an equivalent material constant for each of the subdivided regions 25 as described above.
[Selection] Figure 1

Description

  The present invention relates to an equivalent material constant calculation method, a program, a recording medium, and an equivalent material constant calculation apparatus for calculating an equivalent material constant necessary for simulating mechanical characteristics of a laminate model representing a laminate structure.

  Patent Document 1 discloses a technique for calculating an equivalent parameter necessary for simulating the mechanical characteristics of a composite material. The composite material has a wire and a base material surrounding the wire. Such a composite material is represented by an equivalent parameter which is a uniform member without distinguishing between the wire and the base material. The equivalent parameter of the composite material is determined by the number of wires to be driven, the rigidity of the wire, the rigidity of the base material, and the like. The equivalent parameter corresponds to the equivalent material constant.

JP 2004-93530 A

  The technique disclosed in Patent Document 1 is a technique for calculating an equivalent parameter necessary for simulating dynamic characteristics of a tire reinforcing material or the like. When such a technique is used to calculate an equivalent material constant for a laminated model representing a laminated structure described later, the equivalent material constant cannot be calculated with high accuracy. The laminated structure includes a wiring board and electronic components mounted on the wiring board.

  The laminated model is subdivided into a plurality of subdivided regions, and an equivalent material constant is calculated for each subdivided region. Here, a case is assumed where a part of a part existence area where an electronic part exists and a part of a part non-existence area where no electronic part exists are included in one subdivided area. A material constant when a portion corresponding to a part of the component existing region in the laminated structure is considered to be made of a uniform material, and a portion corresponding to a part of the component non-existing region of the laminated structure Is substantially different from the material constant when it is assumed that is made of a uniform material. Assuming that a part of the part existence area and a part non-part existence area are included in one subdivision area, the equivalent material constant is calculated for the one subdivision area. It cannot be calculated with high accuracy.

  An object of the present invention is to provide an equivalent material constant calculation method, a program, a recording medium, and an equivalent material constant calculation apparatus that can calculate an equivalent material constant with high accuracy.

The present invention is configured by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material. A laminated model representing a laminated structure including a wiring board and an electronic component mounted on the wiring board.
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. There is a component non-existing area corresponding to the remaining part of the wiring board excluding the arrangement part,
Subdividing the component existence region and the component non-existence region into a plurality of subdivision regions,
Based on the material constants of the constituent materials of the subdivided portions corresponding to the subdivided regions in the laminated structure, the material constants when the subdivided portions are considered to be made of a uniform material. An equivalent material constant calculation method characterized in that each equivalent material constant is calculated.

In the present invention, in calculating the equivalent material constant for the subdivided region,
For each layer region corresponding to each layer of the subdivided portion, based on the material constant of the constituent material of the layer, calculate an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material,
The equivalent material constant is calculated based on an in-layer equivalent material constant of each layer region of the subdivided region.

Further, the present invention is configured by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material. Is a program for calculating an equivalent material constant for a laminated model representing a laminated structure including a wiring board and an electronic component mounted on the wiring board,
Computer
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. An area dividing means for dividing the wiring board into a component non-existing area corresponding to the remaining part excluding the arrangement part,
Subdivision means for subdividing the component existence region and the component non-existence region into a plurality of subdivision regions, respectively, and a configuration of a subdivision portion corresponding to the subdivision region in the laminated structure for each subdivision region This is a program for functioning as an equivalent material constant calculating means for calculating an equivalent material constant that is a material constant when the subdivided portion is considered to be composed of a uniform material based on the material constant of the material.

In the present invention, the equivalent material constant calculating means includes
For each layer region corresponding to each layer of the subdivided portion, a layer that calculates an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material, based on the material constant of the constituent material of the layer An internal equivalent material constant calculator,
And an equivalent material constant calculation unit that calculates the equivalent material constant based on an in-layer equivalent material constant of each layer region of the subdivided region.

  The present invention is also a computer-readable recording medium on which the program is recorded.

Further, the present invention is configured by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material. An equivalent material constant calculation device for calculating an equivalent material constant for a laminate model representing a laminate structure including a wiring board and an electronic component mounted on the wiring board,
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. And an area dividing means for dividing the wiring board into a component non-existing area corresponding to a remaining part excluding the arrangement part,
Subdividing means for subdividing the component existence region and the component non-existence region into a plurality of subdivision regions,
Based on the material constants of the constituent materials of the subdivided portions corresponding to the subdivided regions in the laminated structure, the material constants when the subdivided portions are considered to be made of a uniform material. An equivalent material constant calculating device including equivalent material constant calculating means for calculating each equivalent material constant.

In the present invention, the equivalent material constant calculating means includes
For each layer region corresponding to each layer of the subdivided portion, a layer that calculates an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material, based on the material constant of the constituent material of the layer An internal equivalent material constant calculator,
And an equivalent material constant calculation unit that calculates the equivalent material constant based on an in-layer equivalent material constant of each layer region of the subdivided region.

  According to the present invention, first, the stacked model is divided into a component existence region and a component non-existence region, and then the component existence region and the component non-existence region are subdivided into a plurality of subdivided regions, respectively. Thereafter, for each subdivided region, an equivalent material constant is calculated based on the material constant of the constituent material of the subdivided portion. Accordingly, it is possible to prevent a part of the part existence area and a part of the part non-existence area from being included in one subdivided area, whereby the equivalent material constant can be calculated with high accuracy.

  Here, a case is assumed in which a part of the part presence area and a part of the part non-existence area are included in one subdivision area. A material constant when a portion corresponding to a part of the component existing region in the laminated structure is considered to be made of a uniform material, and a portion corresponding to a part of the component non-existing region of the laminated structure Is substantially different from the material constant when it is assumed that is made of a uniform material. Assuming that a part of the part existence area and a part non-part existence area are included in one subdivision area, the equivalent material constant is calculated for the one subdivision area. It cannot be calculated with high accuracy.

  In consideration of this point, in the present invention, the stack model is first divided into a component existence region and a component non-existence region, and then the component existence region and the component non-existence region are subdivided into a plurality of subdivision regions, respectively. To do. This prevents a part of the part presence area and a part of the part non-existence area from being included in one subdivision area. Since the equivalent material constant is calculated for each of such subdivided regions, the equivalent material constant can be calculated with high accuracy.

  Further, according to the present invention, the in-layer equivalent material constant is a material constant when the layer is considered to be made of a uniform material, and such an in-layer equivalent material constant can be calculated by a simple calculation. . Therefore, in the present invention, first, for each layer region, the in-layer equivalent material constant is calculated based on the material constant of the constituent material of the layer, and thereafter, the equivalent material constant is calculated based on the in-layer equivalent material constant of each layer region. calculate. Thereby, the calculation time can be shortened.

  According to the present invention, a program is executed by a computer, whereby the computer functions as a region segmentation unit, a subdivision unit, and an equivalent material constant calculation unit. The stacking model is divided into a component existing region and a component non-existing region by the region dividing unit, and the component existing region and the component non-existing region are subdivided into a plurality of subdivided regions by the subdividing unit. This prevents a part of the part presence area and a part of the part non-existence area from being included in one subdivision area. Since the equivalent material constant calculating means calculates the equivalent material constant for each of the above-described subdivided regions, the equivalent material constant can be calculated with high accuracy.

  Further, according to the present invention, the in-layer equivalent material constant is a material constant when the layer is considered to be made of a uniform material, and such an in-layer equivalent material constant can be calculated by a simple calculation. . Therefore, in the present invention, the equivalent material constant calculation means calculates the in-layer equivalent material constant based on the material constant of the constituent material of the layer for each layer region by the in-layer equivalent material constant calculation unit, and the equivalent material constant The equivalent material constant is calculated based on the in-layer equivalent material constant of each layer region. Thereby, the calculation time can be shortened.

  Further, according to the present invention, the program recorded on the recording medium is read by the computer and executed by the computer, thereby achieving the above-described effects.

  According to the present invention, the layer model is divided into a component existence region and a component non-existence region by the region dividing means, and the component existence region and the component non-existence region are subdivided into a plurality of subdivided regions by the subdivision means. Turn into. This prevents a part of the part presence area and a part of the part non-existence area from being included in one subdivision area. Since the equivalent material constant calculating means calculates the equivalent material constant for each of the above-described subdivided regions, the equivalent material constant can be calculated with high accuracy.

  Further, according to the present invention, the in-layer equivalent material constant is a material constant when the layer is considered to be made of a uniform material, and such an in-layer equivalent material constant can be calculated by a simple calculation. . Therefore, in the present invention, the equivalent material constant calculation means calculates the in-layer equivalent material constant based on the material constant of the constituent material of the layer for each layer region by the in-layer equivalent material constant calculation unit, and the equivalent material constant The equivalent material constant is calculated based on the in-layer equivalent material constant of each layer region. Thereby, the calculation time can be shortened.

  FIG. 1 is a block diagram showing a configuration of an equivalent material constant calculation apparatus 1 according to an embodiment of the present invention. The equivalent material constant calculation apparatus 1 according to the present embodiment is used to calculate an equivalent material constant necessary for simulating mechanical characteristics of a laminate model representing a laminate structure. The equivalent material constant is a material constant for the target region of the stack model, and is a material constant when it is considered that a portion corresponding to the target region in the stacked structure is made of a uniform material. In the present embodiment, Young's modulus is assumed as the material constant.

  In the dynamic characteristic simulation, how the multilayer structure is deformed when an external force is applied to the multilayer structure is simulated using a multilayer model representing the multilayer structure. By such a dynamic characteristic simulation, for example, when a laminated structure is mounted on an electronic device such as a mobile phone, it is predicted whether the laminated structure is deformed by an external force and contacts other parts of the electronic device. can do.

  FIG. 2 is a cross-sectional view schematically showing the laminated structure 2 represented by the laminated model. The laminated structure 2 includes a wiring board 3 and one or a plurality of electronic components 4 mounted on the wiring board 3.

  The wiring board 3 is configured by laminating a pattern forming layer 5 and an electrical insulating layer 6. The pattern forming layer 5 includes a conductive portion 7 made of a conductive material and forming a conductive pattern, and an electric insulating portion 8 made of an electrically insulating material. The electrically insulating layer 6 is made of an electrically insulating material. An example of the conductive material is copper. An example of the electrically insulating material is an epoxy resin.

  The electronic component 4 is disposed on one side in the thickness direction of the wiring board 3. The electronic component 4 is realized by an integrated circuit, for example. In the present embodiment, in calculating the equivalent material constant, the shape of the electronic component 4 is regarded as a rectangular parallelepiped shape or a cubic shape. When a plurality of electronic components 4 are mounted on the wiring board 3, the shape and size of each electronic component 4 may be the same or different from each other. The electronic component 4 is mounted on the wiring board 3 so that one of the six faces faces and is parallel to the surface on one side in the thickness direction of the wiring board 3.

  A fixing means for fixing the electronic component 4 to the wiring board 3 is interposed between the electronic component 4 and the wiring board 3. The fixing means has not only a function of fixing the electronic component 4 to the wiring board 3 but also a function of electrically connecting the electronic component 4 to the wiring board 3. The fixing means is realized by a layer made of solder, for example. In the present embodiment, the fixing means is regarded as a part of the electronic component 4 in calculating the equivalent material constant.

  Referring again to FIG. 1, the equivalent material constant calculating device 1 includes a region segmenting unit 11, a subdividing unit 12, and an equivalent material constant calculating unit 13. The equivalent material constant calculation means 13 includes an in-layer equivalent material constant calculation unit 14 and an equivalent material constant calculation unit 15. The equivalent material constant calculation apparatus 1 further includes a laminated structure database 16, an analysis model database 17, and an analysis condition database 18. Such an equivalent material constant calculating apparatus 1 is realized by a computer.

  In the laminated structure database 16, data relating to the laminated structure 2 is recorded as data necessary for calculating an equivalent material constant. The data regarding the laminated structure 2 includes wiring board data, electronic component data, and material constant data.

  The wiring board data is data representing the shape dimensions of the wiring board 3. The shape dimension of the wiring board 3 includes the shape dimension of the outline of the entire wiring board 3, the thickness dimension of each layer constituting the wiring board 3, and the shape dimension of the conductive pattern formed by the conductive portion 7 of the pattern forming layer 5. Can be mentioned.

  The electronic component data includes data representing the shape and dimension of the electronic component 4 and data representing the position of the electronic component 4 with respect to the wiring board 3. The shape dimension of the electronic component 4 includes the shape dimension of the contour of the entire electronic component 4.

  The material constant data is data representing the material constant of the constituent material of the laminated structure 2. Examples of the material constant include the material constant of the electronic component 4, the material constant of the conductive material, and the material constant of the electrically insulating material. The material constant of the electronic component 4 is obtained in advance by experiments.

  Data related to an analysis model for dynamic characteristic simulation is recorded in the analysis model database 17, and data related to an analysis condition for dynamic characteristic simulation is recorded in the analysis condition database 18. The data related to the analysis model and the data related to the analysis conditions are read from the analysis model database 17 and the analysis condition database 18 in the dynamic characteristic simulation, and are given to an existing analysis program for dynamic characteristic simulation.

  FIG. 3 is a diagram for explaining the operation of the area segmenting means 11. In FIG. 3, the stacked model is viewed from one side in the thickness direction from the one side in the thickness direction, and for easy understanding, the component existence region 21 is shown in black, and the component non-existence region 22 is shown by hatching. Yes.

  The area sorting unit 11 reads the wiring board data and the electronic component data from the laminated structure database 16. Then, the area classification unit 11 classifies the stacked model into the component existence area 21 and the component non-existence area 22 using the wiring board data and the electronic component data. The component existence area 21 includes an area corresponding to the electronic component 4 and an area corresponding to an arrangement portion of the wiring board 3 where the electronic component 4 is arranged. The component non-existing region 22 corresponds to the remaining portion of the wiring board 3 excluding the placement portion.

  The arrangement portion is a portion of the wiring board 3 that is a shadow of the electronic component 4 when the laminated structure 2 is viewed from one side in the thickness direction, and in FIG. 24 is a portion sandwiched by 24. In other words, the arrangement portion is a portion sandwiched between two projection images described later. The two projection images are projection images formed on both surfaces of the wiring board 3 when the electronic component 4 is projected in parallel on the both surfaces. As for the said arrangement | positioning part, the shape dimension of the cross section perpendicular | vertical to the thickness direction of the laminated structure 2 is uniform in the said thickness direction.

  FIG. 4 is a diagram for explaining the operation of the subdividing means 12. In FIG. 4, the component non-existing region 22 is viewed in the thickness direction from one side in the thickness direction. Since the subdivision of the component existence region 21 and the subdivision of the component non-existence region 22 are the same, only the component non-existence region 22 is shown in FIG.

  The subdividing means 12 subdivides the component existence region 21 and the component non-existence region 22 into a plurality of subdivision regions 25, respectively. Further, the subdividing means 12 writes the data related to each subdivided area 25 in the analysis model database 17 as data related to the analysis model. Each subdivided region 25 is an element in the dynamic characteristic simulation.

  When the component existence region 21 and the component non-existence region 22 are viewed from the thickness direction, the subdivided regions 25 are arranged in a matrix. Each subdivided region 25 extends in the thickness direction of the laminated model, one end is opened on one side in the thickness direction of the laminated model, and the other end is opened on the other end side in the thickness direction of the laminated model. In each subdivided region 25, the cross-sectional shape perpendicular to the thickness direction of the stacked model is uniform in the thickness direction. The shape dimension of the cross section of each subdivided region 25 may be designated by an operator, or may be adjusted by the subdividing means 12.

  The shape of the cross section is a rectangle, and in the present embodiment, it is a square. The dimension of the cross section is selected so that the shape dimension of the conductive pattern is sufficiently reflected in the equivalent material constant. The smaller the cross-sectional dimension is, the longer the time required to calculate the equivalent material constant is. However, the shape dimension of the conductive pattern is better reflected by the equivalent material constant, and therefore the equivalent material constant can be calculated with high accuracy.

  In the present embodiment, the sectional dimensions of the respective subdivided regions 25 are the same. Thus, by making the shape dimensions of the cross-sections of the respective subdivided regions 25 the same, labor required for subdividing can be reduced.

  FIG. 5 and FIG. 6 are diagrams for explaining the operation of the equivalent material constant calculation means 13. Hereinafter, for convenience of explanation, the surface on one side in the thickness direction of the subdivided region 25 is referred to as the upper surface 31 of the subdivided region 25, and the surface on the other side in the thickness direction of the subdivided region is referred to as the lower surface 32 of the subdivided region 25. The thickness direction of the subdivided region 25 is the same direction as the thickness direction of the stacked model, and is the same direction as the stacking direction of each layer region constituting the subdivided region 25.

  The equivalent material constant calculation means 13 reads material constant data from the laminated structure database 16 and also reads data related to each subdivided region 25 from the analysis model database 17. Then, the equivalent material constant calculating means 13 calculates the equivalent material constant using the material constant data and the data related to each subdivided region 25, respectively. Specifically, the equivalent material constant calculating unit 13 determines, for each subdivided region 25, the subdivided portion based on the material constant of the constituent material of the subdivided portion corresponding to the subdivided region 25 in the laminated structure 2. Equivalent material constants, which are material constants when it is assumed that they are made of a uniform material, are calculated. The equivalent material constant calculating means 13 writes equivalent material constant data representing each calculated equivalent material constant in the analysis condition database 18 as data relating to the analysis conditions.

  FIG. 5 is a diagram for explaining the operation of the in-layer equivalent material constant calculation unit 14. In FIG. 5, the layer region 5 a corresponding to the pattern forming layer 5 is viewed in the thickness direction, and the region 7 a corresponding to the conductive portion 7 is indicated by hatching in order to facilitate understanding. The in-layer equivalent material constant calculation unit 14 is a material constant when the layer is regarded as being made of a uniform material based on the material constant of the constituent material of the layer for each layer region corresponding to each layer of the subdivided portion. Each in-layer equivalent material constant is calculated.

  The in-layer equivalent material constant of the layer region corresponding to the electronic component 4 is assumed to be equal to the material constant of the electronic component 4. The in-layer equivalent material constant of the layer region corresponding to the electrical insulating layer 6 is assumed to be equal to the material constant of the electrical insulating material. The in-layer equivalent material constant of the layer region 5a corresponding to the pattern forming layer 5 is calculated using the following formula (1).

Here, E is an equivalent material constant of the layer region 5a corresponding to the pattern forming layer 5, E _el is a material constant of the conductive material, E _in is a material constant of the electrically insulating material, and A _el is a ratio of the area of the corresponding region 7a to the conductive portion 7 to the area of the layer region 5a when viewed layer region 5a corresponding to the pattern forming layer 5 in the thickness direction (vertical direction), a _in the corresponding to the pattern forming layer 5 This is the ratio of the area of the region 8a corresponding to the electrical insulating portion 8 to the area of the layer region 5a when the layer region 5a to be viewed from the thickness direction. The A _el and _{A in, A el + A in} = 1 is satisfied.

  FIG. 6 is a diagram for explaining the operation of the equivalent material constant calculation unit 15. FIG. 6 is a perspective view showing the subdivided region 25. In FIG. 6, the k-th counted from the upper surface of the subdivided region 25 among the layer regions of the subdivided region 25 is shown for easy understanding. The layer regions are indicated by hatching, and the remaining layer regions other than the kth layer region are omitted.

  The equivalent material constant calculation unit 15 calculates an equivalent material constant for the subdivided region 25 based on the in-layer equivalent material constant of each layer region of the subdivided region 25. The equivalent material constant calculation unit 15 assumes a virtual cross section for the subdivided region 25 when calculating the equivalent material constant. The virtual cross section is orthogonal to two opposing sides on the upper surface of the subdivided region 25. The virtual cross sections assumed for each subdivided region 25 are parallel to each other on the stacked model. The equivalent material constant calculation unit 15 includes a neutral surface position calculation part and an equivalent material constant calculation part.

  The calculation part of the neutral plane position is the position of the neutral plane M (hereinafter referred to as “neutral plane position”) based on the in-layer equivalent material constant of each layer area of the subdivided area 25. calculate. The neutral surface M refers to a surface on which no compressive stress or tensile stress occurs even when a bending moment is applied. In the present embodiment, the neutral surface position is represented by a distance from the upper surface 31 of the subdivided region 25. The neutral plane position is calculated using the following equation (2).

Here, e is the neutral plane position, h _k is the distance from the upper surface 31 of the subdivided region 25 to the upper surface of the k-th layer region, and E _k is the intra-layer equivalent of the k-th layer region. It is a material constant, b _k is the dimension of the k-th layer region in the direction perpendicular to the thickness direction in the virtual cross section, and n is the number of layer regions constituting the subdivided region 25. The formula (2) is derived from the fact that the resultant force generated in the virtual cross section is zero.

  The equivalent material constant calculation unit 15 calculates an equivalent material constant for the subdivided region 25 based on the in-layer equivalent material constant of each layer region of the subdivided region 25 and the neutral plane position of the subdivided region 25. The equivalent material constant is calculated using the following equation (3).

Here, E _eq is the equivalent material constant of the subdivided region 25, h is the thickness dimension of the subdivided region 25, in other words, the distance from the upper surface 31 to the lower surface 32 of the subdivided region 25, and E _k is the above-mentioned The in-layer equivalent material constant of the k-th layer region, y _k is the distance from the neutral plane M to the upper surface of the k-th layer region, and n is the number of layer regions constituting the subdivided region 25 is there. y _k, the _{h k} and _e, y k _{= h} k -e is established. The expression (3) is derived from the fact that the bending rigidity of the subdivided region 25 is the sum of the bending rigidity of each layer region constituting the subdivided region 25.

  FIG. 7 is a flowchart for explaining an operation of calculating an equivalent material constant by the equivalent material constant calculation apparatus 1. The description of the equivalent material constant calculation operation by the equivalent material constant calculation apparatus 1 also serves as the description of the equivalent material constant calculation method. In the equivalent material constant calculation apparatus 1, data regarding the laminated structure 2 is input in advance by an operator. Data relating to the laminated structure 2 input by the operator is written in the laminated structure database 16, and therefore, data relating to the laminated structure 2 is recorded in the laminated structure database 16 in advance. The calculation operation of the equivalent material constant by the equivalent material constant calculation device 1 is started when an equivalent material constant calculation command is input by the operator.

  When the operation of calculating the equivalent material constant is started, first, in step a1, the area classification unit 11 reads the wiring board data and the electronic component data from the data on the laminated structure 2 from the laminated structure database 16. Next, in step a2, using the data read in step a1, the layer classification unit 11 classifies the stacked model into a component existence region 21 and a component non-existence region 22.

  Next, in step a3, the subdividing means 12 subdivides the component existence region 21 and the component non-existence region 22 into a plurality of subdivision regions 25, respectively. Next, in step a4, the subdivision means 12 writes data relating to each subdivision area 25 to the analysis model database 17 as data relating to the analysis model.

  Next, in step a5, the equivalent material constant calculation means 13 reads the material constant data among the data relating to the stacked structure 2 from the stacked structure database 16. Next, in step a6, the equivalent material constant calculation means 13 reads data related to the subdivided area 25 for one of the subdivided areas 25 from the analysis model database 17. One of the subdivided regions 25 is a target region for which an equivalent material constant is calculated in step a7 described later.

  Next, in step a7, using the material constant data read in step a5 and the data related to the subdivided area 25 read in step a6, the equivalent material constant calculating means 13 uses the material constant data in the subdivided areas 25. The equivalent material constant is calculated for one. Next, in step a8, the equivalent material constant calculation means 13 writes the equivalent material constant data representing the equivalent material constant calculated in step a7 in the analysis condition database 18 as data relating to the analysis condition.

  Next, in step a9, it is determined whether or not equivalent material constants have been calculated for all the subdivided regions 25 of the layered model. If there is a subdivided region 25 for which an equivalent material constant has not been calculated, the process returns to step a6. At this time, in step a6, the equivalent material constant calculating unit 13 reads data related to the subdivided region 25 from the analysis model database 17 for one of the subdivided regions 25 for which the equivalent material constant has not been calculated. Until the calculation of the equivalent material constants for all the subdivision areas 25 of the layered model is completed, the operations of step a6 to step a9 are repeated for each subdivision area 25 in order, and all subdivision areas 25 of the layered model are repeated. If it is determined that the calculation of the equivalent material constant is complete, the calculation operation of the equivalent material constant is terminated.

  FIG. 8 is a flowchart for explaining step a7 in FIG. 7 in detail. When the operation of step a7 in FIG. 7 is started, first, in step b1, the in-layer equivalent material constant calculation unit 14 calculates the in-layer equivalent material constant using the above equation (1).

  Next, in step b2, the equivalent material constant calculation unit 15 calculates the equivalent material constant. Specifically, in step b2, first, in step b21, the neutral surface position is calculated by using the equation (2) by the neutral surface position calculation part, and then in step b22, the equivalent material constant is calculated. Depending on the part, the equivalent material constant is calculated using equation (3) above. When the equivalent material constant is calculated by the equivalent material constant calculation unit 15, the operation of step a7 in FIG. 7 ends.

  According to the present embodiment as described above, the layer model is first divided into the component existence region 21 and the component non-existence region 22 by the region dividing unit 11, and then the component existence region is divided by the subdividing unit 12. 21 and the component non-existing region 22 are subdivided into a plurality of subdivided regions 25, respectively. Thereafter, the equivalent material constant calculating means 13 calculates the equivalent material constant for each subdivided region 25 based on the material constant of the constituent material of the subdivided portion. Therefore, a part of the part existence area 21 and a part of the part non-existence area 22 are prevented from being included in one subdivided area 25, whereby the equivalent material constant can be calculated with high accuracy.

  Here, it is assumed that a part of the part existence area 21 and a part of the part non-existence area 22 are included in one subdivision area 25. A material constant when a portion corresponding to a part of the component existence region 21 in the laminated structure 2 is considered to be made of a uniform material, and a part of the component non-existence region 22 in the laminated structure 2 This is greatly different from the material constant when the portion corresponding to is considered to be made of a uniform material. When the equivalent material constant is calculated for one subdivided region 25 assuming that a part of the component existing region 21 and a part of the component non-existing region 22 are included in one subdivided region 25, Equivalent material constants cannot be calculated with high accuracy.

  In consideration of this point, in the present embodiment, first, the layer model is divided into the component existence region 21 and the component non-existence region 22 by the region division unit 11, and the component existence region 21 and the component existence region 21 are divided by the subdivision unit 12. The component non-existing area 22 is subdivided into a plurality of subdivided areas 25. This prevents a part of the part presence area 21 and a part of the part non-existence area 22 from being included in one subdivision area 25. Since the equivalent material constant calculation means 13 calculates the equivalent material constant for each of the subdivided regions 25 as described above, the equivalent material constant can be calculated with high accuracy.

  Further, according to the present embodiment, the in-layer equivalent material constant is a material constant when the layer is considered to be made of a uniform material, and such an in-layer equivalent material constant can be calculated by a simple calculation. Can do. Therefore, in the present embodiment, the equivalent material constant calculation means 13 calculates the equivalent material constant in the layer based on the material constant of the constituent material of the layer for each layer region by the calculation unit 14 for the equivalent material constant in the layer. The equivalent material constant calculation unit 15 calculates the equivalent material constant based on the in-layer equivalent material constant of each layer region. Thereby, the calculation time can be shortened.

  Another embodiment of the present invention is a program for calculating an equivalent material constant, which is a program for causing a computer to function as the region segmentation means 11, the subdivision means 12, and the equivalent material constant calculation means 13. is there. Such a program is executed by a computer, whereby the computer functions as the region segmenting means 11, the subdividing means 12, and the equivalent material constant calculating means 13. Also in this embodiment, the same effect as that of the above-described embodiment shown in FIGS. 1 to 8 can be achieved.

Yet another embodiment of the present invention is a computer-readable recording medium on which the program is recorded. The recording medium is, for example, a flexible disk and a CD-ROM (
Compact Disc-Read Only Memory). The program recorded in such a recording medium is read by a computer and executed by the computer, whereby the same effects as those of the above-described embodiment shown in FIGS. 1 to 8 can be achieved.

  Each of the embodiments described above is merely an example of the present invention, and the configuration can be changed within the scope of the present invention. In the above-described embodiment, the fixing means is regarded as a part of the electronic component 4, but may be regarded as a layer different from the electronic component. The fixing means may be realized by a bonding wire or may be realized by a bump. The electronic component 4 may be realized by a resistor, a condenser, a coil, or the like, or may be realized by a transistor or the like.

  When a recess is formed in the wiring board 3, the shape dimension of the wiring board 3 further includes the position of the recess on the arrangement substrate and the dimension of the recess. The recess may be a through-hole penetrating the wiring board 3 in the thickness direction, or may be a non-through hole that extends in the thickness direction of the wiring board 3 and is closed at one end and opened at the other end. The recess may be a groove formed in the surface portion of the wiring board 3.

  At the time of subdivision, considering the concentration of stress near the boundary between the component existence region 21 and the component non-existence region 22, the size of the cross-section of the subdivision region 25 is reduced near the boundary. The control area 25 may be dense. As a result, the accuracy of the dynamic characteristic simulation can be improved.

It is a block diagram which shows the structure of the equivalent material constant calculation apparatus 1 which is one Embodiment of this invention. It is sectional drawing which shows typically the laminated structure 2 represented by a lamination | stacking model. FIG. 6 is a diagram for explaining the operation of an area sorting unit 11. FIG. 6 is a diagram for explaining the operation of the subdividing means 12. It is a figure for demonstrating operation | movement of the calculation part 14 of the equivalent material constant in a layer. It is a figure for demonstrating operation | movement of the calculation part 15 of an equivalent material constant. 4 is a flowchart for explaining an operation of calculating an equivalent material constant by the equivalent material constant calculation device 1. It is a flowchart for demonstrating in detail step a7 of the said FIG.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Equivalent material constant calculation apparatus 11 Area | region division means 12 Subdivision means 13 Equivalent material constant calculation means 14 Calculation part of in-layer equivalent material constant 15 Calculation part of equivalent material constant

Claims (7)

A wiring board formed by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material; , About a laminated model representing a laminated structure including electronic components mounted on this wiring board,
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. There is a component non-existing area corresponding to the remaining part of the wiring board excluding the arrangement part,
Subdividing the component existence region and the component non-existence region into a plurality of subdivision regions,
Based on the material constants of the constituent materials of the subdivided portions corresponding to the subdivided regions in the laminated structure, the material constants when the subdivided portions are considered to be made of a uniform material. An equivalent material constant calculation method, wherein each equivalent material constant is calculated. In calculating the equivalent material constant for the subdivided region,
For each layer region corresponding to each layer of the subdivided portion, based on the material constant of the constituent material of the layer, calculate an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material,
2. The equivalent material constant calculation method according to claim 1, wherein the equivalent material constant is calculated based on an in-layer equivalent material constant of each layer region of the subdivided region. A wiring board formed by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material; A program for calculating an equivalent material constant for a laminated model representing a laminated structure including an electronic component mounted on the wiring board,
Computer
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. An area dividing means for dividing the wiring board into a component non-existing area corresponding to the remaining part excluding the arrangement part,
Subdivision means for subdividing the component existence region and the component non-existence region into a plurality of subdivision regions, respectively, and a configuration of a subdivision portion corresponding to the subdivision region in the laminated structure for each subdivision region A program for functioning as an equivalent material constant calculating means for calculating an equivalent material constant that is a material constant when the subdivided portion is considered to be made of a uniform material based on the material constant of the material. The equivalent material constant calculating means includes
For each layer region corresponding to each layer of the subdivided portion, a layer that calculates an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material, based on the material constant of the constituent material of the layer An internal equivalent material constant calculator,
4. The program according to claim 3, further comprising: an equivalent material constant calculating unit that calculates the equivalent material constant based on an in-layer equivalent material constant of each layer region of the subdivided region.   A computer-readable recording medium on which the program according to claim 3 is recorded. A wiring board formed by laminating a pattern forming layer having a conductive portion made of a conductive material and forming a conductive pattern and an electric insulating portion made of an electric insulating material, and an electric insulating layer made of an electric insulating material; An equivalent material constant calculating apparatus for calculating an equivalent material constant for a laminate model representing a laminate structure including an electronic component mounted on the wiring board,
The stacked model is a component existence region, which includes a region corresponding to an electronic component, a component existence region including a region corresponding to an arrangement portion in which an electronic component is arranged in a wiring board, and a component non-existence region. And an area dividing means for dividing the wiring board into a component non-existing area corresponding to a remaining part excluding the arrangement part,
Subdividing means for subdividing the component existence region and the component non-existence region into a plurality of subdivision regions,
Based on the material constants of the constituent materials of the subdivided portions corresponding to the subdivided regions in the laminated structure, the material constants when the subdivided portions are considered to be made of a uniform material. An equivalent material constant calculating apparatus comprising equivalent material constant calculating means for calculating each equivalent material constant. The equivalent material constant calculating means includes
For each layer region corresponding to each layer of the subdivided portion, a layer that calculates an in-layer equivalent material constant that is a material constant when the layer is considered to be composed of a uniform material, based on the material constant of the constituent material of the layer An internal equivalent material constant calculator,
The equivalent material constant calculation apparatus according to claim 6, further comprising an equivalent material constant calculation unit that calculates the equivalent material constant based on an in-layer equivalent material constant of each layer region of the subdivided region.

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