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A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems

By Xu Xu, YuanTong Gu and Gui-Rong Liu

Abstract

In this paper, a hybrid smoothed finite element method (H-SFEM) is developed for solid mechanics problems by combining techniques of finite element method (FEM) and Node-based smoothed finite element method (NS-FEM) using a triangular mesh. A parameter is equipped into H-SFEM, and the strain field is further assumed to be the weighted average between compatible stains from FEM and smoothed strains from NS-FEM. We prove theoretically that the strain energy obtained from the H-SFEM solution lies in between those from the compatible FEM solution and the NS-FEM solution, which guarantees the convergence of H-SFEM. Intensive numerical studies are conducted to verify these theoretical results and show that (1) the upper and lower bound solutions can always be obtained by adjusting ; (2) there exists a preferable at which the H-SFEM can produce the ultrasonic accurate solution

Topics: 091200 MATERIALS ENGINEERING, 091300 MECHANICAL ENGINEERING, Meshfree method, Meshless method, upper bound solution, Numerical modelling
Publisher: World Scientific Publishing
Year: 2013
DOI identifier: 10.1142/S0219876213400112
OAI identifier: oai:eprints.qut.edu.au:57891

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