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Showing 11 open source projects for "isogeometric"
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NLIGA
Open source Matlab code for nonlinear isogeometric analysis
A unified framework, NLIGA (Non-Linear Isogeometric Analysis), is developed for mainly solving two and three-dimensional nonlinear problems on the MATLAB platform by using isogeometric analysis (IGA). Nonlinear hyperelastic and elastoplastic materials are primarily considered at this stage. Newton-Raphson method is used to solve the nonlinear governing equations. A series of benchmark examples are performed to validate the procedures. -
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nligaStruct
Isogeometric structural analysis with Bézier extraction
...A series of popular benchmark examples and their geometrical models are demonstrated in the package. Citation: Xiaoxiao Du, Gang Zhao, Ran Zhang, Wei Wang, Jiaming Yang. Numerical implementation for isogeometric analysis of thin-walled structures based on a Bézier extraction framework: nligaStruct. Thin-Walled Structures. 2022. -
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IGA PEH
Isogeometric Analysis (IGA) of Piezoelectric Energy Harvesters (PEH)
Isogeometric Analysis (IGA) is a modification of the Finite Element Method (FEM), which uses Non-Uniform Rational B-Splines (NURBS) as shape functions. With NURBS in the Kirchhoff-Love plate theory framework, the geometry is precisely represented, and the second-order derivatives appearing in its weak form can be efficiently approximated. -
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IgbemSopt
A framework of shape optimisation based on the isogeometric BEM
This is an implementation of shape optimisation solver based on the isogeometric boundary element method (IGBEM). The details are described in a paper "A framework of shape optimisation based on the isogeometric boundary element method toward designing thin-silicon phtovoltaic devices" submitted to the journal "Engieering with Computers". -
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nurltoolbox
Non-Uniform Rational Lagrange (NURL) function toolbox
This package includes a collection of routines for the creation and operation of Non-Uniform Rational Lagrange (NURL) function geometries and its applications to isogeometric analysis of in-plane and flexural vibration of thin plates, based on the NURL toolbox by Bo Liu. The package includes 3 sub-packages: (1) a basic NURL package for the creation and operation of NURL geometries and isogeometric analysis. (2) A NURL curve package. This package includes routines for creation and operation of plane NURL curves such as curve creation, cutting, etc. (3) A graphic user interface (GUI) based on the NURL curve package. ... -
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GeoPDEs
A package for Isogeometric Analysis in Octave and Matlab
GeoPDEs is a suite of software tools for research on Isogeometric Analysis of PDEs. GeoPDEs is free software implemented in Octave and fully compatible with Matlab. GeoPDEs is no longer developed at SF, and has moved to GitHub. Please visit http://rafavzqz.github.io/geopdes/ The mailing list will remain active. Releases up to 2.0.4 can be found here. From version 2.1.0 onward, see https://github.com/rafavzqz/geopdes -
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igafem
Open source 3D Matlab Isogeometric Analysis Code
Isogeometric analysis (IGA) is a fundamental step forward in computational mechanics that offers the possibility of integrating methods for analysis into Computer Aided Design (CAD) tools and vice versa. The benefits of such an approach are evident, since the time taken from design to analysis is greatly reduced leading to large savings in cost and time for industry.">
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ArchNURBS
NURBS-based elastic and limit analysis of masonry arches in MATLAB
...As in CAD softwares, the geometry of the model is defined by a NURBS representation of the structure. Indeed, the user can upload geometries imported from a CAD environment. Based on such a representation, ArchNURBS performs the elastic isogeometric finite element analysis and the collapse limit analysis of the structure. It is possible to include in the analysis the presence of Fiber-Reinforced Polymers (FRP) extrados and intrados strips. A comprehensive descritpion of ArchNURBS is given in "ArchNURBS: NURBS-Based Tool for the Structural Safety Assessment of Masonry Arches in MATLAB", A. ... -
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Isogeometric FEM with matlab
Matlab code for conducting isogeometric analysis using NURBS
This matlab code presents an introduction to isogeometric analysis whereby the basis functions that are used for computer aided geometric design (CAGD) are also used for approximation in finite element analysis. The present code uses Non-Uniform Rational B-Splines but it should be noted that the CAGD community is making headway towards other descriptions of the geometry, overcoming the limitations of NURBS such as lack of water-tightness. -
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igabem
Isogeometric boundary element analysis with matlab
This code holds all the matlab files necessary to run a 2D isogeometric code for elastostatic analysis. For more guidance, it is probably a good idea to have a look through the code repository, and more recent updates to the code may also be present here. The main idea is that instead of using conventional Lagrangian polynomials to discretise the unknown fields and geometry (using the isoparametric concept), the basis functions that are used in Computer Aided Design (CAD) are used instead. ... -
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Seismic Wave Propagation in 2D acoustic or elastic media using the following methods: Staggered-Grid Finite Difference Method, Spectral Element Method, Interior-Penalty Discontinuous Galerkin Method, and Isogeometric Method.
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