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

Xu, Xu, Gu, YuanTong, & Liu, Gui-Rong (2013) A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems. International Journal of Computational Methods, 10(134001), pp. 1-17.

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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.

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9 citations in Scopus
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ID Code: 57891
Item Type: Journal Article
Refereed: Yes
Keywords: Meshfree method, Meshless method, upper bound solution, Numerical modelling
DOI: 10.1142/S0219876213400112
ISSN: 0219-8762
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MATERIALS ENGINEERING (091200)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300)
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 World Scientific Publishing.
Deposited On: 07 Mar 2013 01:13
Last Modified: 08 Jul 2017 22:01

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