GEOMETRICALLY NONLINEAR ANALYSIS USING MESHFREE RPIM
Geometrically nonlinear analysis for structures with finite deformation is presented based on a meshfree radial point interpolation method (RPIM). The method uses a set of distributed nodes to discretize problem domain that may reduce the possibility of mesh distortion or tangling. The formulations are given in material description. The method is implemented using a full Newton–Raphson iteration procedure. Numerical problem is investigated for a cantilever beam made of compressible hyperelstic neo-Hookean materials to demonstrate the effectiveness of this method.
KeywordsCantilever Beam Material Description Store Energy Function Radial Point Interpolation Method Radial Basis Function Approximation
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