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JP2018080922A - Method of analyzing thermal diffusivity - Google Patents

Method of analyzing thermal diffusivity Download PDF

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JP2018080922A
JP2018080922A JP2016221292A JP2016221292A JP2018080922A JP 2018080922 A JP2018080922 A JP 2018080922A JP 2016221292 A JP2016221292 A JP 2016221292A JP 2016221292 A JP2016221292 A JP 2016221292A JP 2018080922 A JP2018080922 A JP 2018080922A
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thermal diffusivity
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細野 和也
Kazuya Hosono
和也 細野
亜純 重本
Asumi Shigemoto
亜純 重本
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Abstract

PROBLEM TO BE SOLVED: To provide a method of analyzing thermal diffusivity, which is suitable for analysis of thermal diffusivity in the vanishing process of an opaque film formed on a diathermic material and made of an opaque material, a high melting point metal or the like.SOLUTION: The method of analyzing thermal diffusivity analyzes thermal diffusivity of a diathermic material by forming opaque films 16 and 17 respectively on a front surface and a rear surface of a measurement sample 11 made of the diathermic material and includes: an A step of obtaining an approximate thermal diffusivity α under the condition of no radiation loss of the measurement sample 11 by using temperature data on the rear surface of the measurement sample 11, which is obtained with the time of laser beam irradiation, and taking the approximate thermal diffusivity α lowered with the time of irradiation to enter a stable state, as a thermal diffusivity minimum α; a D step of obtaining a radiation loss correction factor kby using a half time tobtained from the thermal diffusivity minimum ain a B step and a damping time constant τ obtained in a C step; and an E step of multiplying the thermal diffusivity minimum αby the radiation loss correction factor kto obtain the thermal diffusivity of the diathermic material.SELECTED DRAWING: Figure 1

Description

本発明は、レーザフラッシュ法を用いた熱拡散率の解析方法に係り、更に詳細には、材料に成膜した不透明化膜の消失過程(即ち、レーザ光の漏れ光が多少発生している状況)での解析に適した(勿論、レーザ光の漏れ光が無い通常の解析にも適用可能な)熱拡散率の解析方法に関する。   The present invention relates to a thermal diffusivity analysis method using a laser flash method, and more specifically, a disappearance process of an opaque film formed on a material (that is, a situation in which some leakage light of a laser beam is generated). The thermal diffusivity analysis method is suitable for analysis in (1) (which can also be applied to normal analysis without laser light leakage).

材料の熱伝導率測定は、密度、比熱、熱拡散率を個別に測定し、これらの積により熱伝導率を求める方法が多く用いられている。このうち熱拡散率は、レーザフラッシュ法により測定されることが多い(例えば、特許文献1参照)。
レーザフラッシュ法は、試料表面をレーザパルス光(以下、レーザ光ともいう)で照射し加熱して試料の裏面温度を測定し、そのデータから熱拡散率を求める方法である。このように、試料の裏面温度から熱拡散率を求める方法としては、従来多くの解析方法が存在する(例えば、非特許文献1参照)。
For measuring the thermal conductivity of a material, a method is often used in which the density, specific heat, and thermal diffusivity are individually measured, and the thermal conductivity is obtained from the product of these. Of these, the thermal diffusivity is often measured by a laser flash method (see, for example, Patent Document 1).
The laser flash method is a method in which a sample surface is irradiated with laser pulse light (hereinafter also referred to as laser light) and heated to measure the back surface temperature of the sample, and the thermal diffusivity is obtained from the data. Thus, as a method for obtaining the thermal diffusivity from the back surface temperature of the sample, there are many conventional analysis methods (see, for example, Non-Patent Document 1).

これらの方法は、レーザ光が試料表面で完全に吸収され、レーザ光の漏れ光が無い場合に適用できる方法である。
例えば、金属材料は、レーザ光の漏れ光を心配することなく裏面温度を測定可能な材料であるが、セラミックス材料等はそのままの状態ではレーザ光が試料内に侵入し透過してしまう。このため、セラミックス材料等からなる試料の熱拡散率をレーザフラッシュ法により測定する際には、レーザ光が試料内に侵入しないように、試料の表裏面を黒化膜等の不透明膜で不透明化処理(塗布)している。
These methods are applicable when the laser beam is completely absorbed by the sample surface and there is no laser beam leakage.
For example, the metal material is a material that can measure the back surface temperature without worrying about the leakage light of the laser beam, but the laser beam penetrates into the sample and passes through the ceramic material as it is. For this reason, when measuring the thermal diffusivity of a sample made of a ceramic material by the laser flash method, the front and back surfaces of the sample are made opaque with an opaque film such as a blackened film so that the laser beam does not enter the sample. Processing (coating).

通常使用する黒化膜は、1000℃程度までは耐熱性を有するが、1000℃を超える温度域においては、試料から剥離し脱落してしまう。このため、1000℃を超える温度域で測定を行う場合には、高融点金属を試料の表裏面にスパッタし、その上に黒化膜を塗布している。この場合、1000℃程度までは黒化膜によってレーザ光を吸収し、1000℃を超える温度域で黒化膜を失った後は、高融点金属の膜がレーザ光を吸収することになる。   A normally used blackening film has heat resistance up to about 1000 ° C., but peels off from the sample and falls off in a temperature range exceeding 1000 ° C. For this reason, when measuring in a temperature range exceeding 1000 ° C., a high melting point metal is sputtered on the front and back surfaces of the sample, and a blackening film is applied thereon. In this case, the laser beam is absorbed by the blackened film up to about 1000 ° C., and after the blackened film is lost in the temperature range exceeding 1000 ° C., the refractory metal film absorbs the laser light.

特許第3568271号公報Japanese Patent No. 3568271

JIS R1611(2010年)JIS R1611 (2010)

しかしながら、前記した高融点金属の膜も、1500℃を超える温度域で剥離等により失われ易い。このような状態になると、レーザ光が試料内に侵入し透過してしまい、熱拡散率を測定することができない。具体的には、高融点金属の膜材として、MoやNb等を使用するが、高融点金属の膜が消失し始めるとレーザ光の漏れ光が生じてしまう。
現状、これ以上の対策は無く、1500℃を超える高温域のセラミックス材料等の熱拡散率測定は困難であった。
However, the above-described refractory metal film is also easily lost due to peeling or the like in a temperature range exceeding 1500 ° C. In such a state, the laser light penetrates into the sample and is transmitted, and the thermal diffusivity cannot be measured. Specifically, Mo, Nb, or the like is used as the refractory metal film material, but when the refractory metal film starts to disappear, leakage light of the laser light is generated.
At present, there is no further countermeasure, and it has been difficult to measure the thermal diffusivity of ceramic materials in a high temperature range exceeding 1500 ° C.

本発明はかかる事情に鑑みてなされたもので、透熱性材料に成膜した不透明材料や高融点金属等の不透明化膜の消失過程での熱拡散率の解析に適した熱拡散率の解析方法を提供することを目的とする。   The present invention has been made in view of such circumstances, and a thermal diffusivity analysis method suitable for analyzing thermal diffusivity in the disappearance process of an opaque material such as an opaque material or a refractory metal formed on a heat-permeable material. The purpose is to provide.

前記目的に沿う第1の発明に係る熱拡散率の解析方法は、透熱性材料からなる測定試料の表面と裏面にそれぞれ不透明化膜を形成し、前記測定試料の表面側からレーザ光を照射することで得られる前記測定試料の裏面側の温度データを用いて、前記透熱性材料の熱拡散率を解析する方法において、
レーザ光の照射時間の経過と共に得られる前記温度データを用いて、前記測定試料の放射損失が無いことを条件とした近似熱拡散率αを求め、レーザ光の照射時間の経過と共に低下し安定状態となる前記近似熱拡散率αを熱拡散率最小値αminとするA工程と、
前記熱拡散率最小値αminから、前記測定試料の裏面側が最高温度の半分の温度まで上昇するために要するハーフタイムt1/2を求めるB工程と、
前記温度データの減衰領域における減衰時定数τを求めるC工程と、
前記B工程で求めた前記ハーフタイムt1/2と、前記C工程で求めた前記減衰時定数τを用いて、放射損失補正係数krhlを求めるD工程と、
前記A工程で求めた前記熱拡散率最小値αminに、前記D工程で求めた前記放射損失補正係数krhlを乗じて、前記透熱性材料の熱拡散率を求めるE工程とを有する。
In the thermal diffusivity analysis method according to the first invention that meets the above-mentioned object, an opaque film is formed on each of the front and back surfaces of a measurement sample made of a heat-permeable material, and laser light is irradiated from the front side of the measurement sample. In the method of analyzing the thermal diffusivity of the heat-permeable material, using the temperature data on the back side of the measurement sample obtained by
Using the temperature data obtained with the lapse of the laser light irradiation time, an approximate thermal diffusivity α is obtained on the condition that there is no radiation loss of the measurement sample, and the stable state decreases with the lapse of the laser light irradiation time. A step of setting the approximate thermal diffusivity α to be a thermal diffusivity minimum value α min ;
B step for obtaining a half time t 1/2 required for the back side of the measurement sample to rise to half the maximum temperature from the thermal diffusivity minimum value α min ;
C step for obtaining the decay time constant τ in the decay region of the temperature data;
D step for obtaining a radiation loss correction coefficient k rhl using the half time t 1/2 obtained in the step B and the decay time constant τ obtained in the step C;
And E step of obtaining the thermal diffusivity of the heat-permeable material by multiplying the minimum value α min of the thermal diffusivity obtained in the step A by the radiation loss correction coefficient krhl obtained in the step D.

第1の発明に係る熱拡散率の解析方法において、前記A工程の近似熱拡散率αは、下式を用いて求めることが好ましい。   In the thermal diffusivity analysis method according to the first invention, the approximate thermal diffusivity α of the step A is preferably obtained using the following equation.

Figure 2018080922
Figure 2018080922

ここで、Tは測定試料の裏面側の温度データ、Qは測定試料の吸収エネルギー、ρは測定試料の密度、cは測定試料の比熱、Lは測定試料の厚み、tは時間、である。   Here, T is temperature data on the back side of the measurement sample, Q is the absorbed energy of the measurement sample, ρ is the density of the measurement sample, c is the specific heat of the measurement sample, L is the thickness of the measurement sample, and t is time.

第1の発明に係る熱拡散率の解析方法において、前記透熱性材料の熱拡散率の解析は、前記測定試料から前記不透明化膜が消失する過程の温度で行われることに適している。   In the thermal diffusivity analysis method according to the first aspect of the invention, the analysis of the thermal diffusivity of the heat-permeable material is suitable for being performed at a temperature at which the opaque film disappears from the measurement sample.

第1の発明に係る熱拡散率の解析方法において、前記不透明化膜は、高融点金属及び不透明材料のいずれか一方又は双方により形成することができる。   In the thermal diffusivity analysis method according to the first invention, the opacifying film can be formed of one or both of a refractory metal and an opaque material.

前記目的に沿う第2の発明に係る熱拡散率の解析方法は、測定試料の表面側からレーザ光を照射することで得られる前記測定試料の裏面側の温度データを用いて、熱拡散率を解析する方法において、
レーザ光の照射時間の経過と共に得られる前記温度データを用いて、前記測定試料の放射損失が無いことを条件とした近似熱拡散率αを求め、レーザ光の照射時間の経過と共に低下し安定状態となる前記近似熱拡散率αを熱拡散率最小値αminとするA工程と、
前記熱拡散率最小値αminから、前記測定試料の裏面側が最高温度の半分の温度まで上昇するために要するハーフタイムt1/2を求めるB工程と、
前記温度データの減衰領域における減衰時定数τを求めるC工程と、
前記B工程で求めた前記ハーフタイムt1/2と、前記C工程で求めた前記減衰時定数τを用いて、放射損失補正係数krhlを求めるD工程と、
前記A工程で求めた前記熱拡散率最小値αminに、前記D工程で求めた前記放射損失補正係数krhlを乗じて、熱拡散率を求めるE工程とを有する。
The thermal diffusivity analysis method according to the second invention in accordance with the above object uses the temperature data on the back surface side of the measurement sample obtained by irradiating laser light from the front surface side of the measurement sample, and calculates the thermal diffusivity. In the analysis method,
Using the temperature data obtained with the lapse of the laser light irradiation time, an approximate thermal diffusivity α is obtained on the condition that there is no radiation loss of the measurement sample, and the stable state decreases with the lapse of the laser light irradiation time. A step of setting the approximate thermal diffusivity α to be a thermal diffusivity minimum value α min ;
B step for obtaining a half time t 1/2 required for the back side of the measurement sample to rise to half the maximum temperature from the thermal diffusivity minimum value α min ;
C step for obtaining the decay time constant τ in the decay region of the temperature data;
D step for obtaining a radiation loss correction coefficient k rhl using the half time t 1/2 obtained in the step B and the decay time constant τ obtained in the step C;
And E step of obtaining a thermal diffusivity by multiplying the minimum value α min of the thermal diffusivity obtained in the step A by the radiation loss correction coefficient krhl obtained in the step D.

第1の発明に係る熱拡散率の解析方法は、A工程〜E工程を有しているので、透熱性材料に成膜した不透明材料や高融点金属等の不透明化膜の消失過程、即ち、レーザ光の漏れ光が多少発生している状況でも、透熱性材料の熱拡散率を得ることができる。
また、第2の発明に係る熱拡散率の解析方法においても、A工程〜E工程を有しているので、測定試料の熱拡散率を得ることができる。
Since the analysis method of the thermal diffusivity according to the first invention has A process to E process, the disappearance process of the opaque material such as an opaque material or a refractory metal formed on the heat-permeable material, The thermal diffusivity of the heat-permeable material can be obtained even in a situation where a slight amount of laser light leaks.
In addition, since the thermal diffusivity analysis method according to the second invention also includes the steps A to E, the thermal diffusivity of the measurement sample can be obtained.

(a)は本発明の一実施の形態に係る熱拡散率の解析方法を適用する測定装置の説明図、(b)は測定試料の説明図である。(A) is explanatory drawing of the measuring apparatus which applies the analysis method of the thermal diffusivity which concerns on one embodiment of this invention, (b) is explanatory drawing of a measurement sample. 放射損失を無視した場合の測定試料の裏面温度の推移を示すグラフである。It is a graph which shows transition of the back surface temperature of a measurement sample when radiation loss is disregarded. 近似熱拡散率を求める方法を確認するための測定試料の裏面側の温度データとビオ数との関係を示すグラフである。It is a graph which shows the relationship between the temperature data of the back surface side of a measurement sample for confirming the method of calculating | requiring an approximate thermal diffusivity, and a bio number. 図3の温度データを各温度の最大値で規格化したグラフである。It is the graph which normalized the temperature data of FIG. 3 with the maximum value of each temperature. 図4のデータを用いて求めた近似熱拡散率の推移を示すグラフである。It is a graph which shows transition of the approximate thermal diffusivity calculated | required using the data of FIG. 実施例に係る測定試料の裏面側の温度データの推移を示すグラフである。It is a graph which shows transition of the temperature data of the back surface side of the measurement sample which concerns on an Example. 図6のデータを用いて求めた近似熱拡散率の推移を示すグラフである。It is a graph which shows transition of the approximate thermal diffusivity calculated | required using the data of FIG.

続いて、添付した図面を参照しつつ、本発明を具体化した実施の形態につき説明し、本発明の理解に供する。
まず、本発明の一実施の形態に係る熱拡散率の解析方法を適用する測定装置10について、図1(a)、(b)を参照しながら説明する。
Next, embodiments of the present invention will be described with reference to the accompanying drawings for understanding of the present invention.
First, a measurement apparatus 10 to which a thermal diffusivity analysis method according to an embodiment of the present invention is applied will be described with reference to FIGS. 1 (a) and 1 (b).

測定装置10は、透熱性材料からなる測定試料(以下、単に試料ともいう)11の表面側にレーザ光(加熱光)を照射して透熱性材料の熱拡散率を求める装置であり、レーザ光を発生させるレーザ光発生部12と、発生したレーザ光がレーザ光検出部13及び測定試料11にそれぞれ向かうように分配するハーフミラー14と、測定試料11の裏面の温度変化を測定する温度測定部15とを有している。   The measuring apparatus 10 is an apparatus for irradiating a laser beam (heating light) on the surface side of a measurement sample (hereinafter also simply referred to as a sample) 11 made of a heat-permeable material to obtain the thermal diffusivity of the heat-permeable material. A laser beam generator 12 for generating the laser beam, a half mirror 14 for distributing the generated laser beam to the laser beam detector 13 and the measurement sample 11, and a temperature measurement unit for measuring the temperature change of the back surface of the measurement sample 11. 15.

ここで、透熱性材料とは半透明材料であり、例えば、セラミックス材料や断熱材、また、ポーラス材料等がある。
この透熱性材料を用いて作製する測定試料11は、例えば、直径10mm、厚さ数ミリ程度の円盤状のものであるが、測定条件に応じて形状や寸法を種々変更できる。
測定試料11の表裏面(厚み方向の両端面)にはそれぞれ不透明化膜16、17が形成されている。なお、不透明化膜16、17は、高融点金属18、19と不透明材料20、21で構成され、測定試料11の表裏面にそれぞれ、高融点金属18、19と不透明材料20、21が順次密着配置されているが、不透明化膜を高融点金属のみ、又は、不透明材料のみで構成し、高融点金属又は不透明材料を測定試料11の表裏面に密着配置することもできる。
Here, the heat-permeable material is a translucent material such as a ceramic material, a heat insulating material, or a porous material.
The measurement sample 11 produced using this heat-permeable material is, for example, a disk shape having a diameter of about 10 mm and a thickness of several millimeters, but various shapes and dimensions can be changed depending on the measurement conditions.
Opaque films 16 and 17 are formed on the front and back surfaces (both end surfaces in the thickness direction) of the measurement sample 11, respectively. The opaque films 16 and 17 are composed of refractory metals 18 and 19 and opaque materials 20 and 21, and the refractory metals 18 and 19 and opaque materials 20 and 21 are in close contact with the front and back surfaces of the measurement sample 11, respectively. However, the opaque film may be composed of only the refractory metal or the opaque material, and the refractory metal or the opaque material may be disposed in close contact with the front and back surfaces of the measurement sample 11.

高融点金属18、19には、例えば、融点が2000℃以上のMo(モリブデン)やNb(ニオブ)等を使用でき、スパッタや蒸着等により、測定試料11の表裏面に密着配置される。
また、不透明材料20、21には、熱移動が拡散伝熱のみにより生じる黒化膜(例えば、炭素等のセラミックス製の薄板)を使用でき、高融点金属18、19の各表面に密着配置される。この不透明材料20、21は、微粉末を塗布して焼き付けたり、蒸着したり、また、カーボンスプレーすることで、高融点金属18、19の各表面に密着配置できる。
For the refractory metals 18 and 19, for example, Mo (molybdenum) or Nb (niobium) having a melting point of 2000 ° C. or more can be used, and the refractory metals 18 and 19 are closely attached to the front and back surfaces of the measurement sample 11 by sputtering or vapor deposition.
Further, the opaque materials 20 and 21 can be blackened films (for example, thin plates made of ceramics such as carbon) in which heat transfer is caused only by diffusion heat transfer, and are in close contact with the surfaces of the refractory metals 18 and 19. The The opaque materials 20 and 21 can be disposed in close contact with the surfaces of the refractory metals 18 and 19 by applying fine powder and baking or vapor deposition, or by carbon spraying.

このように、測定試料11の表面に、不透明化膜16を密着させる(ここでは、高融点金属18と不透明材料20を順次密着させているが、高融点金属のみ又は不透明材料のみを密着させてもよい)ことで、測定試料11の表面側から(不透明化膜16の表面に)照射されたレーザ光のエネルギーを、不透明化膜16の表面で100%吸収させることができる。更に、吸収させた熱を、拡散伝熱にしたがい測定試料11に供給できる。
一方、測定試料11の裏面に、不透明化膜17を密着させる(ここでは、高融点金属19と不透明材料21を順次密着させているが、高融点金属のみ又は不透明材料のみを密着させてもよい)ことで、測定試料11を通過した熱を受け取り、拡散伝熱にしたがって移動させることができる。
Thus, the opacifying film 16 is brought into close contact with the surface of the measurement sample 11 (here, the refractory metal 18 and the opaque material 20 are brought into close contact sequentially, but only the refractory metal or only the opaque material is brought into close contact. Therefore, the energy of the laser beam irradiated from the surface side of the measurement sample 11 (on the surface of the opacifying film 16) can be absorbed by 100% on the surface of the opacifying film 16. Furthermore, the absorbed heat can be supplied to the measurement sample 11 according to diffusion heat transfer.
On the other hand, the opacifying film 17 is brought into close contact with the back surface of the measurement sample 11 (here, the refractory metal 19 and the opaque material 21 are brought into close contact sequentially, but only the refractory metal or the opaque material may be brought into close contact. Thus, the heat that has passed through the measurement sample 11 can be received and moved according to diffusion heat transfer.

前記したレーザ光発生部12には、上記した不透明化膜16と不透明化膜17とで(具体的には、高融点金属18及び不透明材料20と高融点金属19及び不透明材料21とで)挟み込んだ測定試料11、即ち、加熱対象物22を、高温雰囲気に保持した場合でも、雰囲気の熱変動を超える熱エネルギーを表面に注入することが可能な、例えば、ルビーレーザ発振器を使用することができる。
レーザ光検出部13は、レーザ光発生部12から発生したレーザ光の加熱波形(レーザ光波形)の検出を行うものである。
ハーフミラー14は、レーザ光の吸収率が極めて小さく、かつ、透過性が極めて高い材質を有する基材で形成されている。例えば、入射したレーザ光から、予め設定した光量のレーザ光を反射させ、残部を通過させるコーティング層を、基材の表面に設けた構成とすることができる。
The laser beam generator 12 is sandwiched between the opacifying film 16 and the opacifying film 17 (specifically, between the refractory metal 18, the opaque material 20, the refractory metal 19, and the opaque material 21). Even when the measurement sample 11, that is, the heating object 22 is held in a high temperature atmosphere, for example, a ruby laser oscillator capable of injecting thermal energy exceeding the thermal fluctuation of the atmosphere to the surface can be used. .
The laser beam detector 13 detects the heating waveform (laser beam waveform) of the laser beam generated from the laser beam generator 12.
The half mirror 14 is formed of a base material having a material with extremely low laser light absorption and extremely high transparency. For example, a coating layer that reflects a predetermined amount of laser light from incident laser light and allows the remaining part to pass therethrough may be provided on the surface of the substrate.

従って、上記したレーザ光発生部12から発生したレーザ光が、ハーフミラー14により反射しレーザ光検出部13の受光部(図示せず)に到達するように、受光部の光軸調整を行うことで、レーザ光発生部12から発射されたレーザ光の一部を、レーザ光検出部13に入射させて、レーザ光の加熱波形を測定することができる。
また、ハーフミラー14の光軸と加熱対象物22の中心軸(厚み方向に沿った)とを一致させることにより、加熱対象物22の表面を、ハーフミラー14を通過したレーザ光で照射して加熱することができる。
Therefore, the optical axis of the light receiving part is adjusted so that the laser light generated from the laser light generating part 12 is reflected by the half mirror 14 and reaches the light receiving part (not shown) of the laser light detecting part 13. Thus, a part of the laser light emitted from the laser light generator 12 can be incident on the laser light detector 13 and the heating waveform of the laser light can be measured.
In addition, by matching the optical axis of the half mirror 14 with the central axis (along the thickness direction) of the heating object 22, the surface of the heating object 22 is irradiated with the laser light that has passed through the half mirror 14. Can be heated.

温度測定部15は、レーザ光が照射された加熱対象物22の裏面の温度変化を、高速で精度よく測定できる機能を有する必要があり、例えば、熱電対や放射型温度計等の温度検知センサを備えた温度測定器を使用できる。   The temperature measurement unit 15 needs to have a function capable of measuring the temperature change of the back surface of the heating object 22 irradiated with the laser light at high speed and with high accuracy. For example, a temperature detection sensor such as a thermocouple or a radiation thermometer. A temperature measuring device with can be used.

更に、測定装置10は、温度測定部15より出力される信号から裏面側の温度データを求め、この温度データから透熱性材料の熱拡散率を求める演算処理部23と、この演算処理部23で求めた熱拡散率を表示する出力器24とを有している。
この演算処理部23は、後述するA工程〜E工程の各処理を、予め設定したプログラムにより行い、透熱性材料の熱拡散率を算出することが可能なコンピュータである。なお、コンピュータは、RAM、CPU、ROM、I/O、及び、これらの要素を接続するバスを備えた従来公知のものであるが、これに限定されるものではない。
また、出力器24には、例えば、コンピュータ用の表示機器、印字機器が使用できる。
Further, the measuring device 10 obtains the temperature data on the back side from the signal output from the temperature measuring unit 15, and obtains the thermal diffusivity of the heat-permeable material from the temperature data, and the arithmetic processing unit 23 And an output device 24 for displaying the obtained thermal diffusivity.
The arithmetic processing unit 23 is a computer capable of calculating the thermal diffusivity of the heat-permeable material by performing each process of the A process to the E process, which will be described later, using a preset program. The computer is a conventionally known computer that includes a RAM, a CPU, a ROM, an I / O, and a bus for connecting these elements, but is not limited thereto.
For the output device 24, for example, a display device for a computer and a printing device can be used.

続いて、本発明の一実施の形態に係る熱拡散率の解析方法について、図1(a)、(b)を参照しながら説明する。
半透明材料の熱拡散率の解析方法は、レーザフラッシュ法を用いて透熱性材料の熱拡散率を解析する方法であり、準備工程とA工程〜E工程を有している。以下、詳しく説明する。
Next, a thermal diffusivity analysis method according to an embodiment of the present invention will be described with reference to FIGS.
The method for analyzing the thermal diffusivity of a translucent material is a method for analyzing the thermal diffusivity of a heat-permeable material using a laser flash method, and includes a preparation process and A processes to E processes. This will be described in detail below.

(準備工程)
まず、測定しようとする半透明材料から測定試料11を作製する。そして、測定試料11の表裏面にそれぞれ、高融点金属18、19と不透明材料20、21を順次密着配置して、加熱対象物22を形成する。なお、測定試料11の表裏面には、例えば、熱拡散率の測定条件等に応じて、高融点金属のみ又は不透明材料のみを密着配置することもできる。
次に、加熱対象物22を、測定装置10の試料室(図示しない)に設けられた試料ホルダにセットし、試料室内の雰囲気を調整する(例えば、真空状態にする)。
(Preparation process)
First, the measurement sample 11 is produced from the translucent material to be measured. Then, the high melting point metals 18 and 19 and the opaque materials 20 and 21 are arranged in close contact with each other on the front and back surfaces of the measurement sample 11 to form the heating object 22. Note that only the refractory metal or only the opaque material can be disposed in close contact with the front and back surfaces of the measurement sample 11 according to, for example, the measurement conditions of the thermal diffusivity.
Next, the heating object 22 is set in a sample holder provided in a sample chamber (not shown) of the measuring apparatus 10, and the atmosphere in the sample chamber is adjusted (for example, in a vacuum state).

続いて、試料室内の温度を予め設定した測定温度となるように制御し、加熱対象物22の温度が測定温度に到達し安定した段階で、レーザ光発生部12からレーザ光を、ハーフミラー14に向けて発射する。
ここで、発射されたレーザ光はハーフミラー14に到達し、ハーフミラー14によってレーザ光の光量の一部が反射され、レーザ光検出部13に入射して、レーザ光の波形が求められ、そのデータが演算処理部23に入力される。また、ハーフミラー14を透過した残部のレーザ光は、加熱対象物22の表面に到達し、表面を加熱する。
Subsequently, the temperature in the sample chamber is controlled to be a preset measurement temperature, and when the temperature of the heating object 22 reaches the measurement temperature and is stabilized, the laser light is emitted from the laser light generator 12 to the half mirror 14. Fire towards.
Here, the emitted laser light reaches the half mirror 14, a part of the light amount of the laser light is reflected by the half mirror 14 and enters the laser light detection unit 13, and the waveform of the laser light is obtained. Data is input to the arithmetic processing unit 23. Further, the remaining laser light transmitted through the half mirror 14 reaches the surface of the heating object 22 and heats the surface.

レーザ光により加熱対象物22の表面が加熱されると、一方の不透明材料20の表面に注入された熱エネルギーは、加熱対象物22の裏面に向かって伝導するので、加熱対象物22の裏面の温度は徐々に上昇する。
このときの温度変化を、例えば、放射型温度計を備えた温度測定部15により測定し、得られた温度データは演算処理部23に入力される。
When the surface of the heating object 22 is heated by the laser light, the thermal energy injected into the surface of the one opaque material 20 is conducted toward the back surface of the heating object 22. The temperature rises gradually.
The temperature change at this time is measured by, for example, the temperature measuring unit 15 including a radiation type thermometer, and the obtained temperature data is input to the arithmetic processing unit 23.

(1)裏面温度式
単層試料の裏面温度Tは、式(1)〜式(4)で表される。
(1) Back surface temperature formula The back surface temperature T of a single layer sample is represented by Formula (1)-Formula (4).

Figure 2018080922
Figure 2018080922

ここで、α:熱拡散率、h:ビオ数(放射損失を表す無次元数)、Q:吸収エネルギー、ρ:密度、c:比熱、L:厚み、t:時間、β:固有値、t:特性時間(t=L/(πα))、である。 Here, α: thermal diffusivity, h: bio number (dimensionless number representing radiation loss), Q: absorbed energy, ρ: density, c: specific heat, L: thickness, t: time, β n : eigenvalue, t 0 : characteristic time (t 0 = L 2 / (π 2 α)).

上記した試料裏面温度式(1)において、n=1〜3(第2〜4項)のn=0(初項)に対する大きさの比を概算する。
ここで、定数をmとして、時間t=mtにおける初項(n=0)に対する第n項の大きさの比は、放射損失が無視できる場合(常温付近等の放射損失を無視可能な温度域に対応)、概略式(5)により与えられる。
In the above-described sample back surface temperature formula (1), the ratio of the size of n = 1 to 3 (second to fourth terms) to n = 0 (first term) is estimated.
Here, when the constant is m and the ratio of the magnitude of the n-th term to the first term (n = 0) at time t = mt 0 is the case where the radiation loss is negligible (the temperature at which the radiation loss near room temperature etc. can be ignored). Corresponding to the region), given by the general formula (5).

Figure 2018080922
Figure 2018080922

上記式(5)を用いて、初項(n=0)に対する第2項(n=1)以降の値の比を求めた結果を、表1に示す。   Table 1 shows the results of calculating the ratio of the value after the second term (n = 1) to the first term (n = 0) using the above equation (5).

Figure 2018080922
Figure 2018080922

これより、特性時間tの2倍以上の時間(m≧2)においては、第2項(n=1)が主なものであり、第3項(n=2)以降の影響は小さい。 From this, in the time (m ≧ 2) that is twice or more the characteristic time t 0 , the second term (n = 1) is the main one, and the influence after the third term (n = 2) is small.

また、上記した試料裏面温度式(1)において、α=1.0×10−5(m/s)、L=1×10−3(m)、h=0.1とし、n=15までのものとn=2までのものを求めた結果を、図2に示す。なお、図2の横軸は、特性時間(t)を基準とした時間であり、縦軸は、放射損失が無くビオ数h=0の場合に、裏面温度の最高温度が1となる式(1)を用いている。
これより、レーザ光の照射後、t/t≧1.5程度で、試料裏面温度式(1)において、n=2までの和で良い精度で近似できることが確認される。
In the sample back surface temperature formula (1), α = 1.0 × 10 −5 (m 2 / s), L = 1 × 10 −3 (m), h = 0.1, and n = 15 FIG. 2 shows the results obtained for the cases up to and n = 2. The horizontal axis in FIG. 2 is the time with reference to the characteristic time (t 0 ), and the vertical axis is an equation in which the maximum back surface temperature is 1 when there is no radiation loss and the bio number h = 0. (1) is used.
From this, it can be confirmed that after irradiation with the laser light, the sum of up to n = 2 can be approximated with good accuracy in the sample back surface temperature equation (1) with t / t 0 ≧ 1.5.

(2)漏れ光が有る場合の熱拡散率解析法
放射損失が無い場合(ビオ数h=0)の試料裏面温度式として、時間が特性時間の1.5倍程度以上の領域(t≧1.5t)において、試料裏面温度を式(6)で近似する。
(2) Thermal diffusivity analysis method in the presence of leaked light As a sample back surface temperature formula when there is no radiation loss (bio number h = 0), a region where time is about 1.5 times or more of characteristic time (t ≧ 1) .5t 0 ), the sample back surface temperature is approximated by equation (6).

Figure 2018080922
Figure 2018080922

この近似が成立する領域においては、熱拡散率は式(7)で与えられる。   In a region where this approximation is established, the thermal diffusivity is given by equation (7).

Figure 2018080922
Figure 2018080922

なお、Tは測定試料の裏面側の温度データ、Qは測定試料の吸収エネルギー、ρは測定試料の密度、cは測定試料の比熱、Lは測定試料の厚み、tは時間、である。
ここで、上記近似熱拡散率を求める方法を確認するため、表2に示すデータを用いて検討した。上記した式(1)を用いて裏面温度を作成し、図3に示す。
T is temperature data on the back side of the measurement sample, Q is the absorption energy of the measurement sample, ρ is the density of the measurement sample, c is the specific heat of the measurement sample, L is the thickness of the measurement sample, and t is time.
Here, in order to confirm the method for obtaining the approximate thermal diffusivity, the data shown in Table 2 was used for examination. The back surface temperature is created using the above-described equation (1) and shown in FIG.

Figure 2018080922
Figure 2018080922

また、図3の試料裏面の温度データを、各温度の最大値で規格化したものを、図4に示す。
このデータを用いて、裏面温度の初期立ち上がり部のデータを使用しない熱拡散率の解析方法を以下に検討しながら、熱拡散率の解析手順を示す。
FIG. 4 shows the temperature data of the back surface of the sample in FIG. 3 normalized by the maximum value of each temperature.
Using this data, the thermal diffusivity analysis procedure will be described while examining the analysis method of the thermal diffusivity without using the data of the initial rising portion of the back surface temperature.

(A工程)
まず、レーザ光の照射時間の経過と共に得られた温度データを用いて、上記した式(7)により、測定試料11の放射損失が無いことを条件とした近似熱拡散率αを計算する(図5参照)。
次に、裏面温度の立ち上がり部(図5に示す点線の円で囲まれた領域)において最小となる(レーザ光の照射時間の経過と共に低下し安定状態となる)熱拡散率最小値αminを求める。この熱拡散率最小値αminを与える時間(t)及び同時間を特性時間(t)で除した値を表3に示す。
(Process A)
First, the approximate thermal diffusivity α on the condition that there is no radiation loss of the measurement sample 11 is calculated by the above-described equation (7) using the temperature data obtained with the lapse of the irradiation time of the laser light (see FIG. 5).
Next, the thermal diffusivity minimum value α min that becomes minimum (becomes stable as the laser beam irradiation time elapses) at the rising portion of the back surface temperature (the region surrounded by the dotted circle shown in FIG. 5). Ask. Table 3 shows the time (t) for giving the thermal diffusivity minimum value α min and the value obtained by dividing the time by the characteristic time (t 0 ).

Figure 2018080922
Figure 2018080922

熱拡散率最小値αminを与える時間(t)は、ビオ数が比較的小さい場合、ハーフタイム(t1/2)より後方にあることに特徴がある。この場合には、レーザ光の漏れ光の影響を受け難い時間領域に熱拡散率最小値があり、多少の漏れ光が存在しても、従来のハーフタイムを用いる方法に比較して、熱拡散率を求めることが可能と考えられる。
なお、ハーフタイム(t1/2)は、レーザ光の照射後、測定試料11の裏面側が最高温度の半分の温度まで上昇するために要する時間で定義する。
The time (t) for giving the thermal diffusivity minimum value α min is characterized by being behind the half time (t 1/2 ) when the bio number is relatively small. In this case, there is a minimum value of thermal diffusivity in the time domain that is not easily affected by the leaked light of the laser beam, and even if there is some leaked light, the thermal diffusion is smaller than the conventional method using half time. It is considered possible to obtain the rate.
The half time (t 1/2 ) is defined as the time required for the back side of the measurement sample 11 to rise to half the maximum temperature after the laser light irradiation.

ここで、ハーフタイム(t1/2)と特性時間(t)の間には、式(8)に示す関係がある。 Here, there is a relationship shown in Formula (8) between the half time (t 1/2 ) and the characteristic time (t 0 ).

Figure 2018080922
Figure 2018080922

なお、ビオ数h=0.05の場合、tとt1/2とは略等しくなり、これより小さいビオ数の場合、tがt1/2より大きくなる。 Note that t and t 1/2 are substantially equal when the bio number h is 0.05, and t is greater than t 1/2 when the bio number is smaller than this.

(B工程)
熱拡散率最小値αminを用い、式(9)にてハーフタイムt1/2を求める(表3参照)。
このハーフタイムt1/2は実測値ではなく、上記したように、式(9)を用いて求められるため、ここではハーフタイム相当t1/2ともいう。
(Process B)
Using the thermal diffusivity minimum value α min , the half time t 1/2 is obtained by equation (9) (see Table 3).
Since the half time t 1/2 is not an actual measurement value and is obtained using the equation (9) as described above, it is also referred to as a half time equivalent t 1/2 here.

Figure 2018080922
Figure 2018080922

(C工程)
温度データの減衰領域における減衰時定数τを求める(表3参照)。
なお、減衰時定数τは、式(10)により定義される。
(Process C)
A decay time constant τ in the decay region of the temperature data is obtained (see Table 3).
The decay time constant τ is defined by equation (10).

Figure 2018080922
Figure 2018080922

(D工程)
上記したB工程で求めたハーフタイム相当t1/2と、C工程で求めた減衰時定数τを用いて、熱拡散率の放射損失補正係数krhlを求める。
この放射損失補正係数krhlの算出には、一例としてJIS R1611(2010年)に記載されている式(11)を用いて求めることができる(表3参照)。
(D process)
The radiation loss correction coefficient krhl of the thermal diffusivity is obtained using the half time equivalent t 1/2 obtained in the above-mentioned B process and the decay time constant τ obtained in the C process.
For example, the radiation loss correction coefficient k rhl can be calculated using the equation (11) described in JIS R1611 (2010) (see Table 3).

Figure 2018080922
Figure 2018080922

なお、放射損失補正係数krhlの算出は、上記した式(11)を用いて求めることに限定されるものではなく、例えば、上記したJIS R1611(2010年)に記載の他の式を用いて求めることもできる。 Note that the calculation of the radiation loss correction coefficient k rhl is not limited to the calculation using the above equation (11), and for example, using another equation described in the above JIS R1611 (2010). You can ask for it.

(E工程)
前記したA工程で求めた熱拡散率最小値αminに、D工程で求めた放射損失補正係数krhlを乗じて、透熱性材料の熱拡散率αcorrectedを求める。即ち、αcorrected=krhl×αminである(表3参照)。
得られた熱拡散率αcorrectedは、真値に対する誤差が1%程度である。
この熱拡散率の解析に用いた温度データ量は100点だが、通常の数千点の温度データを用いることで、熱拡散率の精度がより高められると考えられる。
(E process)
The thermal diffusivity α corrected of the heat-permeable material is obtained by multiplying the minimum value α min of the thermal diffusivity obtained in the aforementioned step A by the radiation loss correction coefficient k rhl obtained in the step D. That is, α corrected = k rhl × α min (see Table 3).
The obtained thermal diffusivity α corrected has an error of about 1% with respect to the true value.
Although the amount of temperature data used for the analysis of the thermal diffusivity is 100 points, it is considered that the accuracy of the thermal diffusivity can be further improved by using the usual temperature data of several thousand points.

以上の結果より、上記した解析方法で、透熱性材料の熱拡散率αcorrectedが求められることが明らかとなった。
これより、前記したA工程で求めた熱拡散率最小値αminは、式(12)のハーフタイム法で求めた熱拡散率になると考えられる。
From the above results, it has been clarified that the thermal diffusivity α corrected of the heat-permeable material is obtained by the analysis method described above.
From this, it is considered that the thermal diffusivity minimum value α min obtained in the above-described Step A is the thermal diffusivity obtained by the half-time method of Expression (12).

Figure 2018080922
Figure 2018080922

以上に示した透熱性材料の熱拡散率の解析は、加熱温度やレーザ光の影響により、測定試料11から不透明材料20と高融点金属18が消失する過程の温度で行われる場合に適している。具体的には、透熱性材料の熱拡散率の解析温度が1500℃超である場合に適しており、更には1600℃以上、更に好ましくは1700℃以上の場合に適している。なお、上限については特に限定しないが、現実的には、例えば、2000℃程度である。
また、測定試料11の表裏面にそれぞれ高融点金属のみ、又は、不透明材料のみを密着配置した場合、透熱性材料の熱拡散率の解析は、高融点金属又は不透明材料が消失する過程の温度で行われる場合に適している。
The analysis of the thermal diffusivity of the heat-transmitting material described above is suitable when it is performed at a temperature in the process where the opaque material 20 and the refractory metal 18 disappear from the measurement sample 11 due to the influence of the heating temperature and laser light. . Specifically, it is suitable when the analysis temperature of the thermal diffusivity of the heat-permeable material is higher than 1500 ° C., more preferably 1600 ° C. or higher, more preferably 1700 ° C. or higher. In addition, although it does not specifically limit about an upper limit, Actually, it is about 2000 degreeC, for example.
In addition, when only the refractory metal or only the opaque material is placed in close contact with the front and back surfaces of the measurement sample 11, the analysis of the thermal diffusivity of the heat-permeable material is based on the temperature at which the refractory metal or opaque material disappears. Suitable when done.

次に、本発明の作用効果を確認するために行った実施例について説明する。
ここでは、アルミナ系材料(透熱性材料)を1800℃で測定し熱拡散率を解析した結果について説明する。
まず、アルミナ系材料を用いて測定試料を作製した。次に、この測定試料の表裏面に、高融点金属であるNbをスパッタした後、このNbの膜上に微粉末を塗布して黒化膜(不透明材料)を形成した(不透明化膜を形成した)。
続いて、測定試料の表面側にレーザ光を照射し、順次昇温測定しながら熱拡散率を解析した。このとき得られた測定試料の裏面側の温度データの一例を、図6に示す。
Next, examples carried out for confirming the effects of the present invention will be described.
Here, a description will be given of a result obtained by measuring an alumina-based material (heat-permeable material) at 1800 ° C. and analyzing a thermal diffusivity.
First, a measurement sample was prepared using an alumina-based material. Next, Nb, which is a refractory metal, was sputtered on the front and back surfaces of the measurement sample, and then a fine powder was applied onto the Nb film to form a blackened film (opaque material) (an opaque film was formed). did).
Subsequently, the surface of the measurement sample was irradiated with laser light, and the thermal diffusivity was analyzed while sequentially measuring the temperature. An example of the temperature data on the back side of the measurement sample obtained at this time is shown in FIG.

熱拡散率の解析に際しては、1800℃においてNbの膜が消失し始めており、レーザ光の照射直後に漏れ光が確認されため、通常の解析方法では熱拡散率を求めることができなかった。なお、照射直後の漏れ光領域を除く温度データが、裏面温度を表していると断言はできないが、測定後の試料の表裏面にNbが残っており、裏面温度に近い温度データが測定されているのではないかと推測される。
この温度データを用い、前記した解析方法を適用して熱拡散率を求める。
In the analysis of the thermal diffusivity, the Nb film began to disappear at 1800 ° C., and the leaked light was confirmed immediately after the laser beam irradiation. Therefore, the thermal diffusivity could not be obtained by the usual analysis method. Although it cannot be asserted that the temperature data excluding the leakage light region immediately after irradiation represents the back surface temperature, Nb remains on the front and back surfaces of the sample after measurement, and temperature data close to the back surface temperature is measured. It is speculated that there is.
Using this temperature data, the thermal diffusivity is obtained by applying the analysis method described above.

1)測定試料の裏面側の温度データに対し、前記した式(7)を用いて近似熱拡散率αを計算する。この結果を図7に示す。
2)照射後短時間は、漏れ光の影響で近似熱拡散率αの値が大きいが、ある程度時間が経過すると近似熱拡散率αが安定する。この時間領域において、放射損失が無い場合の熱拡散率最小値αminを得る。なお、図7の場合、概略1.40×10−6(m/s)となる(以上、A工程)。
3)上記した熱拡散率最小値αminを用い、式(9)にてハーフタイム相当t1/2を計算し、t1/2=6.67×10−2(s)を得る(B工程)。
1) Approximate thermal diffusivity α is calculated using the above equation (7) for the temperature data on the back side of the measurement sample. The result is shown in FIG.
2) Although the value of the approximate thermal diffusivity α is large for a short time after irradiation due to the influence of leakage light, the approximate thermal diffusivity α is stabilized after a certain period of time. In this time domain, the minimum thermal diffusivity α min when there is no radiation loss is obtained. In addition, in the case of FIG. 7, it becomes about 1.40 * 10 < -6 > (m < 2 > / s) (above, A process).
3) Using the above-described minimum thermal diffusivity α min , half time equivalent t 1/2 is calculated by equation (9) to obtain t 1/2 = 6.67 × 10 −2 (s) (B Process).

4)図6の減衰領域における温度データより、式(10)を用いて減衰時定数τを求め、τ=1.96(s)を得る(C工程)。
5)上記したハーフタイム相当t1/2と減衰時定数(τ)を用い、式(11)にて放射損失補正係数krhlを計算し、krhl=0.916を得る(D工程)。
6)上記した熱拡散率最小値αminに放射損失補正係数krhlを掛けることで、アルミナ系材料の熱拡散率αcorrectedとして1.28×10−6(m/s)を得ることができる(E工程)。
なお、ここでは、不透明化膜を、高融点金属(Nb)と不透明材料(黒化膜)で構成した場合について説明したが、不透明化膜を高融点金属のみ、又は、不透明材料のみで構成した場合についても、熱拡散率αcorrectedを得ることができた。
4) The attenuation time constant τ is obtained from the temperature data in the attenuation region of FIG. 6 using Equation (10) to obtain τ = 1.96 (s) (step C).
5) Using the above half-time equivalent t 1/2 and the decay time constant (τ), the radiation loss correction coefficient k rhl is calculated by the equation (11) to obtain k rhl = 0.916 (step D).
6) By multiplying the above-mentioned minimum thermal diffusivity α min by the radiation loss correction coefficient k rhl , 1.28 × 10 −6 (m 2 / s) can be obtained as the thermal diffusivity α corrected of the alumina-based material. Yes (E step).
Here, the case where the opaque film is made of a refractory metal (Nb) and an opaque material (blackened film) has been described, but the opaque film is made of only a refractory metal or only an opaque material. In some cases, the thermal diffusivity α corrected was obtained.

以上、本発明を、実施の形態を参照して説明してきたが、本発明は何ら上記した実施の形態に記載の構成に限定されるものではなく、特許請求の範囲に記載されている事項の範囲内で考えられるその他の実施の形態や変形例も含むものである。例えば、前記したそれぞれの実施の形態や変形例の一部又は全部を組合せて本発明の熱拡散率の解析方法を構成する場合も本発明の権利範囲に含まれる。
前記実施の形態においては、熱拡散率の解析方法を、透熱性材料に成膜した不透明材料や高融点金属等の不透明化膜の消失過程、即ち、レーザ光の漏れ光が多少発生している状況に適用した場合について説明したが、レーザ光の漏れ光が無い通常の解析にも適用可能である。
また、前記実施の形態においては、測定試料を透熱性材料で作製した場合について説明したが、例えば、測定試料を、金属材料や黒鉛、複合材料、また、前記したセラミックス材料以外のセラミックス材料等で構成することもできる。この場合、必要に応じて、測定試料の表面と裏面に、レーザ光のエネルギーの吸収率を高める材料(例えば、黒化膜等)を形成することが好ましい。
As described above, the present invention has been described with reference to the embodiment. However, the present invention is not limited to the configuration described in the above embodiment, and the matters described in the scope of claims. Other embodiments and modifications conceivable within the scope are also included. For example, a case where the thermal diffusivity analysis method of the present invention is configured by combining a part or all of the above-described embodiments and modifications is also included in the scope of the right of the present invention.
In the above embodiment, the thermal diffusivity analysis method is based on the disappearance process of an opaque material such as an opaque material or a refractory metal film formed on a heat-transmitting material, that is, some laser light leaks. Although the case where it applied to the condition was demonstrated, it is applicable also to the normal analysis without the leakage light of a laser beam.
In the embodiment, the case where the measurement sample is made of a heat-permeable material has been described. For example, the measurement sample is made of a metal material, graphite, a composite material, or a ceramic material other than the above-described ceramic material. It can also be configured. In this case, it is preferable to form a material (for example, a blackened film) that increases the absorption rate of the laser beam energy on the front and back surfaces of the measurement sample as necessary.

10:測定装置、11:測定試料、12:レーザ光発生部、13:レーザ光検出部、14:ハーフミラー、15:温度測定部、16、17:不透明化膜、18、19:高融点金属、20、21:不透明材料、22:加熱対象物、23:演算処理部、24:出力器 10: measurement device, 11: measurement sample, 12: laser light generation unit, 13: laser light detection unit, 14: half mirror, 15: temperature measurement unit, 16, 17: opaque film, 18, 19: refractory metal , 20, 21: opaque material, 22: heating object, 23: arithmetic processing unit, 24: output device

Claims (5)

透熱性材料からなる測定試料の表面と裏面にそれぞれ不透明化膜を形成し、前記測定試料の表面側からレーザ光を照射することで得られる前記測定試料の裏面側の温度データを用いて、前記透熱性材料の熱拡散率を解析する方法において、
レーザ光の照射時間の経過と共に得られる前記温度データを用いて、前記測定試料の放射損失が無いことを条件とした近似熱拡散率αを求め、レーザ光の照射時間の経過と共に低下し安定状態となる前記近似熱拡散率αを熱拡散率最小値αminとするA工程と、
前記熱拡散率最小値αminから、前記測定試料の裏面側が最高温度の半分の温度まで上昇するために要するハーフタイムt1/2を求めるB工程と、
前記温度データの減衰領域における減衰時定数τを求めるC工程と、
前記B工程で求めた前記ハーフタイムt1/2と、前記C工程で求めた前記減衰時定数τを用いて、放射損失補正係数krhlを求めるD工程と、
前記A工程で求めた前記熱拡散率最小値αminに、前記D工程で求めた前記放射損失補正係数krhlを乗じて、前記透熱性材料の熱拡散率を求めるE工程とを有することを特徴とする熱拡散率の解析方法。
Using the temperature data on the back surface side of the measurement sample obtained by irradiating laser light from the front surface side of the measurement sample by forming an opaque film on the front and back surfaces of the measurement sample made of a heat-permeable material, In the method of analyzing the thermal diffusivity of a heat-permeable material,
Using the temperature data obtained with the lapse of the laser light irradiation time, an approximate thermal diffusivity α is obtained on the condition that there is no radiation loss of the measurement sample, and the stable state decreases with the lapse of the laser light irradiation time. A step of setting the approximate thermal diffusivity α to be a thermal diffusivity minimum value α min ;
B step for obtaining a half time t 1/2 required for the back side of the measurement sample to rise to half the maximum temperature from the thermal diffusivity minimum value α min ;
C step for obtaining the decay time constant τ in the decay region of the temperature data;
D step for obtaining a radiation loss correction coefficient k rhl using the half time t 1/2 obtained in the step B and the decay time constant τ obtained in the step C;
And E step of obtaining the thermal diffusivity of the heat-permeable material by multiplying the minimum value α min of the thermal diffusivity obtained in the step A by the radiation loss correction coefficient krhl obtained in the step D. Characteristic thermal diffusivity analysis method.
請求項1記載の熱拡散率の解析方法において、前記A工程の近似熱拡散率αは、下式を用いて求めることを特徴とする熱拡散率の解析方法。
Figure 2018080922
ここで、Tは測定試料の裏面側の温度データ、Qは測定試料の吸収エネルギー、ρは測定試料の密度、cは測定試料の比熱、Lは測定試料の厚み、tは時間、である。
The thermal diffusivity analysis method according to claim 1, wherein the approximate thermal diffusivity α of the step A is obtained using the following equation.
Figure 2018080922
Here, T is temperature data on the back side of the measurement sample, Q is the absorbed energy of the measurement sample, ρ is the density of the measurement sample, c is the specific heat of the measurement sample, L is the thickness of the measurement sample, and t is time.
請求項1又は2記載の熱拡散率の解析方法において、前記透熱性材料の熱拡散率の解析は、前記測定試料から前記不透明化膜が消失する過程の温度で行われることを特徴とする熱拡散率の解析方法。   3. The thermal diffusivity analysis method according to claim 1, wherein the thermal diffusivity of the heat-permeable material is analyzed at a temperature at which the opaque film disappears from the measurement sample. Analysis method of diffusivity. 請求項1〜3のいずれか1項に記載の熱拡散率の解析方法において、前記不透明化膜は、高融点金属及び不透明材料のいずれか一方又は双方により形成されることを特徴とする熱拡散率の解析方法。   The thermal diffusivity analyzing method according to any one of claims 1 to 3, wherein the opaque film is formed of one or both of a refractory metal and an opaque material. Rate analysis method. 測定試料の表面側からレーザ光を照射することで得られる前記測定試料の裏面側の温度データを用いて、熱拡散率を解析する方法において、
レーザ光の照射時間の経過と共に得られる前記温度データを用いて、前記測定試料の放射損失が無いことを条件とした近似熱拡散率αを求め、レーザ光の照射時間の経過と共に低下し安定状態となる前記近似熱拡散率αを熱拡散率最小値αminとするA工程と、
前記熱拡散率最小値αminから、前記測定試料の裏面側が最高温度の半分の温度まで上昇するために要するハーフタイムt1/2を求めるB工程と、
前記温度データの減衰領域における減衰時定数τを求めるC工程と、
前記B工程で求めた前記ハーフタイムt1/2と、前記C工程で求めた前記減衰時定数τを用いて、放射損失補正係数krhlを求めるD工程と、
前記A工程で求めた前記熱拡散率最小値αminに、前記D工程で求めた前記放射損失補正係数krhlを乗じて、熱拡散率を求めるE工程とを有することを特徴とする熱拡散率の解析方法。
In the method of analyzing the thermal diffusivity, using the temperature data on the back side of the measurement sample obtained by irradiating laser light from the front side of the measurement sample,
Using the temperature data obtained with the lapse of the laser light irradiation time, an approximate thermal diffusivity α is obtained on the condition that there is no radiation loss of the measurement sample, and the stable state decreases with the lapse of the laser light irradiation time. A step of setting the approximate thermal diffusivity α to be a thermal diffusivity minimum value α min ;
B step for obtaining a half time t 1/2 required for the back side of the measurement sample to rise to half the maximum temperature from the thermal diffusivity minimum value α min ;
C step for obtaining the decay time constant τ in the decay region of the temperature data;
D step for obtaining a radiation loss correction coefficient k rhl using the half time t 1/2 obtained in the step B and the decay time constant τ obtained in the step C;
A thermal diffusion characterized by comprising a step E of multiplying the minimum value α min of the thermal diffusivity obtained in the step A by the radiation loss correction coefficient krhl obtained in the step D to obtain a thermal diffusivity. Rate analysis method.
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