Numerical Simulation of Large Deformation Problems by Element Free Galerkin Method

Abstract:

In large deformation problems, the contribution of nonlinear terms is quite significant. Hence, components/structures involving large deformation must be analysed using non-linear theories. In this paper, element free Galerkin method (EFGM) has been applied to solve large deformation problems using updated Lagrangian approach. Geometrically nonlinear problems have been simulated assuming linear elastic material behaviour. The results obtained by EFGM have been compared with those obtained by FEM and analytical solutions. An elasto-plastic edge crack problem has been solved using nonlinear material behaviour and large deformation kinematics.

• Periodical: Key Engineering Materials (Volumes 535-536)
• Pages: 85-88
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.535-536.85
• Online since: January 2013
• Authors: Rajesh Kumar, Indra Vir Singh, B.K. Mishra, Akhilendra Singh
• Keywords: Elasto-Plastic Analysis, Element-Free Galerkin Method (EFGM), Large Deformation, Updated Lagrangian

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