The complex variable element-free Galerkin (CVEFG) method for elastic large deformation problems

LI, DongMing ORCID: https://orcid.org/0000-0001-7677-7834, Peng, MiaoJuan and Cheng, YuMin 2011. The complex variable element-free Galerkin (CVEFG) method for elastic large deformation problems. SCIENTIA SINICA Physica, Mechanica & Astronomica 41 (8) , pp. 1003-1014. 10.1360/132010-978

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Abstract

On the basis of the moving least-squares (MLS) approximation, the complex variable element-free Galerkin (CVEFG) method for two-dimensional elastic large deformation problems, such as large displacement and large rotation, is presented in this paper. The advantage of the CVMLS approximation is that the trial function of a two-dimensional problem is formed with one-dimensional basis function. Then the CVMLS approximation is applied to solve two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the discretized system equation, the penalty method is used to apply the essential boundary conditions. And then the complex variable element-free Galerkin (CVEFG) method for two-dimensional large deformation problems based on the total lagrange formulation is formed, the corresponding formulae are obtained, and the Newton-Raphson iteration is used in the numerical implementation. Three numerical examples are given to show that this method in this paper is effective for elastic large deformation problems.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Engineering
ISSN:	1674-7275
Date of Acceptance:	22 October 2010
Last Modified:	07 Nov 2022 10:02
URI:	https://orca.cardiff.ac.uk/id/eprint/130940

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