Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method

2013 ◽  
Vol 53 (6) ◽  
pp. 1149-1162 ◽  
Author(s):  
D. M. Li ◽  
K. M. Liew ◽  
Y. M. Cheng
Keyword(s):  
Galerkin Method ◽  
Large Deformation ◽  
Complex Variable ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Element Free ◽  
Large Deformation Problems

Numerical Simulation of Large Deformation Problems by Element Free Galerkin Method

2013 ◽  
Vol 535-536 ◽  
pp. 85-88 ◽  
Author(s):  
Rajesh Kumar ◽  
Indra Vir Singh ◽  
B.K. Mishra ◽  
Akhilendra Singh
Keyword(s):  
Galerkin Method ◽  
Large Deformation ◽  
Crack Problem ◽  
Nonlinear Problems ◽  
Nonlinear Material ◽  
Material Behaviour ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free ◽  
Large Deformation Problems

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.

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