Open AccessMeshless Radial Point Interpolation Method for Hyperelastic Materials
Author(s) -
Trong Khiem Bui,
Vu Tuong Nguyen,
Thanh Nha Nguyen,
Tich Thien Truong
Publication year - 2020
Publication title -
kalpa publications in engineering
Language(s) - English
Resource type - Conference proceedings
ISSN - 2515-1770
DOI - 10.29007/r7sp
Subject(s) - hyperelastic material , interpolation (computer graphics) , strain energy density function , materials science , nonlinear system , material point method , meshfree methods , deformation (meteorology) , material properties , point (geometry) , ogden , finite strain theory , modulus , mathematical analysis , mechanics , composite material , finite element method , mathematics , structural engineering , classical mechanics , geometry , physics , engineering , motion (physics) , quantum mechanics
Hyperelastic materials are special types of material that tends to behavior elastically when they are subjected to very large strains. These materials show not only the nonlinear material behavior but also the large deformation and stress-strain relationship is derived from a strain energy density function. Hyperelastic materials are widely used in many applications such as biological tissues, polymeric foams, and moreover. Neo - Hookean is a material model for hyperelastic solid which contains only two material parameters: bulk modulus and shear modulus. In the field of numerical analysis, the radial point interpolation method (RPIM) is a well-known meshfree method based on Garlekin's weak form. With the property of “free of mesh”, the RPIM approach shows its advantage for large deformation problems. In this study, a meshless radial point interpolation method is applied to demonstrate the elastic response of rubber-like materials based on the Mooney- Rivlin model. The obtained results are compared with the reference solutions given by other methods to verify the accuracy of the proposed method.