About applying directly the alpha finite element method (\(\alpha\)FEM) for solid mechanics using triangular and tetrahedral elements

Authors

  • Nguyen Thoi Trung University of Science, VNU, HCM
  • Nguyen Xuan Hung University of Science - VNU - HCM

DOI:

https://doi.org/10.15625/0866-7136/32/4/292

Abstract

An alpha finite element method (\(\alpha\)FEM) has been recently proposed to compute nearly exact solution in strain energy for solid mechanics problems using three-node triangular (\(\alpha\)FEM-T3) and four-node tetrahedral (\(\alpha\)FEM-T4) elements. In the \(\alpha\)FEM, a scale factor \(\alpha \in [0, 1]\) is used to combine the standard fully compatible model of the FEM with a quasi-equilibrium model of the node-based smoothed FEM (NS-FEM). This novel combination of the FEM and NS-FEM makes the best use of the upper bound property of the NS-FEM and the lower bound property of the standard FEM. This paper concentrates on applying directly the \(\alpha\)FEM for solid mechanics to obtain the very accurate solutions with a suitable computational cost by using \(\alpha = 0.6\) for 2D problems and \(\alpha = 0.7\) for 3D problems.

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Published

22-12-2010

How to Cite

Trung, N. T., & Hung, N. X. (2010). About applying directly the alpha finite element method (\(\alpha\)FEM) for solid mechanics using triangular and tetrahedral elements. Vietnam Journal of Mechanics, 32(4), 235–246. https://doi.org/10.15625/0866-7136/32/4/292

Issue

Section

Research Paper

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