Hybrid natural element method for large deformation elastoplasticity problems

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

Abstract

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.

Keywords: hybrid natural element method large deformation elastoplasticity Hellinger-Reissner variational principle meshless method

Received: 05 October 2014
Revised: 21 October 2014
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	46.15.-x	(Computational methods in continuum mechanics)

Fund:

Project supported by the Natural Science Foundation of Shanghai, China (Grant No. 13ZR1415900).

Corresponding Authors: Ma Yong-Qi
E-mail: mayq@staff.shu.edu.cn

Cite this article:

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

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Hybrid natural element method for large deformation elastoplasticity problems

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