Hybrid natural element method for large deformation elastoplasticity problems

doi:10.1088/1674-1056/24/3/030204

中国物理B ›› 2015, Vol. 24 ›› Issue (3): 30204-030204.doi: 10.1088/1674-1056/24/3/030204

Hybrid natural element method for large deformation elastoplasticity problems

马永其^{a b}, 周延凯^a

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Department of Mechanics, Shanghai University, Shanghai 200444, China

收稿日期:2014-10-05 修回日期:2014-10-21 出版日期:2015-03-05 发布日期:2015-03-05
基金资助:
Project supported by the Natural Science Foundation of Shanghai, China (Grant No. 13ZR1415900).

Hybrid natural element method for large deformation elastoplasticity problems

Ma Yong-Qi (马永其)^{a b}, Zhou Yan-Kai (周延凯)^a

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Department of Mechanics, Shanghai University, Shanghai 200444, China

Received:2014-10-05 Revised:2014-10-21 Online:2015-03-05 Published:2015-03-05
Contact: Ma Yong-Qi E-mail:mayq@staff.shu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Shanghai, China (Grant No. 13ZR1415900).

摘要/Abstract

摘要：

We present the hybrid natural element method (HNEM) for two-dimensional elastoplastic large deformation problems. Sibson interpolation is adopted to construct the shape functions of nodal incremental displacements and incremental stresses. The incremental form of Hellinger-Reissner variational principle for elastoplastic large deformation problems is deduced to obtain the equation system. The total Lagrangian formulation is used to describe the discrete equation system. Compared with the natural element method (NEM), the HNEM has higher computational precision and efficiency in solving elastoplastic large deformation problems. Some numerical examples are selected to demonstrate the advantage of the HNEM for large deformation elastoplasticity problems.

关键词: hybrid natural element method, large deformation elastoplasticity, Hellinger-Reissner variational principle, meshless method

Abstract:

Key words: hybrid natural element method, large deformation elastoplasticity, Hellinger-Reissner variational principle, meshless method

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 46.15.-x (Computational methods in continuum mechanics)

马永其, 周延凯. Hybrid natural element method for large deformation elastoplasticity problems[J]. 中国物理B, 2015, 24(3): 30204-030204.

Ma Yong-Qi (马永其), Zhou Yan-Kai (周延凯). Hybrid natural element method for large deformation elastoplasticity problems[J]. Chin. Phys. B, 2015, 24(3): 30204-030204.

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Hybrid natural element method for large deformation elastoplasticity problems

Hybrid natural element method for large deformation elastoplasticity problems

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