Analyzing nonlinear large deformation with an improved element-free Galerkin method via the interpolating moving least-squares method-Reference-Cited by-同舟云学术

Analyzing nonlinear large deformation with an improved element-free Galerkin method via the interpolating moving least-squares method

Published:2016-12 Issue:04 Volume:05 Page:1650023
ISSN:2047-6841
Container-title:International Journal of Computational Materials Science and Engineering
language:en
Short-container-title:Int. J. Comp. Mat. Sci. Eng.

Author:

Cheng Yumin¹,Bai Funong¹,Liu Chao¹,Peng Miaojuan²

Affiliation:

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

2. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China

Abstract

Using the interpolating moving least-squares (IMLS) method to form the shape function, a novel improved element-free Galerkin (IEFG) method is presented for solving nonlinear elastic large deformation problems. To obtain the formulae of the IEFG method for elastic large deformation problems, we use the Galerkin weak form to obtain the discretized system equation, and use the penalty method to apply the displacement boundary conditions. Some selected numerical examples of two-dimensional elastic large deformation problems are given, and the numerical results are analyzed. From the examples, it is shown that the IEFG method in this paper has higher computational precision than the element-free Galerkin (EFG) method presented before.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Mechanics of Materials,General Materials Science,Modeling and Simulation,Numerical Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2047684116500238

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