A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems

Eric Li, Z. C. He, Xu Xu, G. R. Liu, Y. T. Gu

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper presents a novel three-dimensional hybrid smoothed finite element method (H-SFEM) for solid mechanics problems. In 3D H-SFEM, the strain field is assumed to be the weighted average between compatible strains from the finite element method (FEM) and smoothed strains from the node-based smoothed FEM with a parameter α equipped into H-SFEM. By adjusting α, the upper and lower bound solutions in the strain energy norm and eigenfrequencies can always be obtained. The optimized α value in 3D H-SFEM using a tetrahedron mesh possesses a close-to-exact stiffness of the continuous system, and produces ultra-accurate solutions in terms of displacement, strain energy and eigenfrequencies in the linear and nonlinear problems. The novel domain-based selective scheme is proposed leading to a combined selective H-SFEM model that is immune from volumetric locking and hence works well for nearly incompressible materials. The proposed 3D H-SFEM is an innovative and unique numerical method with its distinct features, which has great potential in the successful application for solid mechanics problems.

Original languageEnglish
Pages (from-to)4223-4245
Number of pages23
JournalActa Mechanica
Volume226
Issue number12
DOIs
Publication statusPublished - 1 Dec 2015

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