A HYBRID SMOOTHED FINITE ELEMENT METHOD (H-SFEM) TO SOLID MECHANICS PROBLEMS

作者：Xu Xu^*; Gu Yuantong; Liu Guirong

来源：International Journal of Computational Methods, 2013, 10(1): 1340011.

DOI：10.1142/S0219876213400112

• Meshfree methods
• point interpolation method
• superconvergence
• upper-bound solution

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 a 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 a; (2) there exists a preferable a at which the H-SFEM can produce the ultrasonic accurate solution.

• 出版日期2013-2
• 单位吉林大学