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Isogeometric Analysis with hierarchical refinements
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IGAPack - A toolbox for isogeometric analysis using high-order PHT-splines Several benchmark and test problems in 2D and 3D elasticity are implemented. The main files are located in the top level of the elasticity2D and elasticity 3D directories (e.g. EdgeCrackMultiPatch.m or Hemisphere.m). The examples have been tested with Matlab 2015b or later. For 3D, the deCasteljau algorithm is implemented via mex files obtained with the Matlab Coder toolbox. A pure MATLAB function (deCasteljau3DTP.m) is also available, but it will probably be slower. The 3D solutions are outputed in the VTU format which is viewable with Paraview (www.paraview.org) or similar software. This program is distributed with version 1.3.8 of the NURBS toolbox. See the nurbs directory for detailed licensing and usage information. A description of the solving and error estimation procedure can be found in: https://doi.org/10.1016/j.cma.2017.08.032 Brief description of the main files Elasticity 2D folder: CantileverBeam.m: cantilever beam model from doi: 10.1016/j.finel.2008.01.010 EdgeCrackMultiPatch.m: plate with an edge crack model using 4 patches ElasticRectangleMP.m: patch test for plate in tension with linear displacement, multiple patches can be used, Dirichlet boundary conditions ElasticRectangeMPIso.m: patch test for plate in tension with linear displacement using isoparametric formulation, multiple patches can be used, Dirichlet boundary conditions ElasticRectangleNeuMP.m: patch test for plate in tension with linear displacement, multiple patches can be used, traction boundary conditions LshapedBracket.m: L-shape bracket geometry with 18 patches LshapePanel.m: Benchmark L-shape panel with exact solution modeled with 3 patches LshapePanelIso.m: Benchmark L-shape panel with exact solution modeled with 3 patches, isoparametric formulation PlateHole.m: Benchmark plate with a hole problem modeled with 2 patches PlateHoleC1.m: Benchmark plate with a hole problem, modeled with a single patch with a singular parametrization PlateHoleIso.m: Benchmark plate with a hole problem modeled with 2 patches, isoparametric formulation Spanner.m: Spanner problem modeled with 6 patches SpannerIso.m: Spanner problem modeled with 6 patches, isoparametric formulation ThickCylinder.m: Benchmark pressurized 2D cylinder problem Elasticity 3D folder: Blade.m: Turbine blade model CantileverBar.m: Cantilever bar problem with 10 patches CircularPlate.m: 3D disk model with vibration modes ConnectingRod.m: Model of connecting rod CubeWithHole.m: Benchmark cube with hole model with 1 patch CubeWithHoleC0MP.m: Benchmark cube with hole model with 4 patches EdgeCrackM2MP.m: Solid with an edge crack, mode II loading with exact solution EdgeCrackM3MP.m: Solid with an edge crack, mode III loading EdgeCrackMP.m: Solid with an edge crack, mode I loading with exact solution ElasticBeamNeu.m: Cantilever bar with traction boundary conditions ElasticCrackM2MP.m: Solid with an edge crack, mode II loading, simple boundary conditions ElasticCrackM3MP.m: Solid with an edge crack, mode III loading, simple boundary conditions ElasticCrackMP: Solid with an edge crack, mode I loading, simple boundary conditions ElasticCubeMP: Patch test of solid with linear displacement, Dirichlet boundary conditions, multiple patches can be used Hemisphere.m: Benchmark problem of 1/8th of a hollow sphere HoreShoePHT.m: Horse shoe model with one patch LshapedBracket3D.m: 3D L-Shaped bracket with 18 patches PennyCrackMP.m: Benchmark problem of penny crack model TbeamMP.m: Model of cantilever beam with varying thickness
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