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.
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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|Item Type:||Journal Article|
|Keywords:||Meshfree method, Meshless method, upper bound solution, Numerical modelling|
|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 > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2013 World Scientific Publishing.|
|Deposited On:||07 Mar 2013 01:13|
|Last Modified:||18 Mar 2013 03:30|
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