Analysis of Elastic–Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

Yajie Deng, Xingkeng Shen, Jixiao Tao and Ying Dai
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Yajie Deng: School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
Xingkeng Shen: School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
Jixiao Tao: Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, China
Ying Dai: School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China

Mathematics, 2021, vol. 9, issue 16, 1-18

Abstract: A numerical model for the two-dimensional nonlinear elastic–plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method. The viability of the proposed model is verified through three elastic–plastic examples. The numerical analyses show that the IICVEFG method has good convergence. The solutions using the IICVEFG method are consistent with the solutions obtained from the finite element method using the ABAQUS program. Moreover, the IICVEFG method shows greater computing precision and efficiency than the non-interpolating meshless methods.

Keywords: elastic–plastic problem; complex variable meshless method; interpolating shape function; singular weight function; complete basis function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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