Search Results for "isogeometric analysis"
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Showing 9 open source projects for "isogeometric analysis"
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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. The visualization procedures are also developed... -
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nligaStruct
Isogeometric structural analysis with Bézier extraction
nligaStruct is an extension of NLIGA in aspect of isogeometric structural analysis. A framework for Bézier extraction of T-spline and NURBS is embedded in the simulation pipeline. Both Reissner-Mindlin and Kirchhoff-Love assumptions are considered in the case of static bending and free vibration analysis of thin-walled structures (plates and shells). The convergence behaviors of these two assumptions for both plate and shell are thoroughly studied and compared. Three types of hyperelastic... -
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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. In this work, we analyze piezoelectric energy harvesters (PEH) with the IGA, considering the Kirchhoff-Love plate theory. The work includes cantilever... -
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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... -
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GeoPDEs (moved to GitHub)
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. The tight coupling of CAD and analysis within IGA requires knowledge from both fields and it is one of the goals of the MIGFEM... -
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ArchNURBS
NURBS-based elastic and limit analysis of masonry arches in MATLAB
ArchNURBS is a MATLAB tool for the analysis of planar curved structures, with a particular attention to masonry arches. 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... -
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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. The code also illustrates enrichment through... -
9
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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