Airy-based equilibrium mesh-free method for static limit analysis of plane problems

Authors

  • Canh V. Le Department of Civil Engineering, International University - VNU HCMC, Viet Nam
  • Phuc L. H. Ho Faculty of Applied Mechanics and Civil Engineering, HCMC University of Technology and Education, Vietnam
  • Hoa T. Nguyen Faculty of Civil and Electrical Engineering, HCMC Open University, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/38/3/5961

Keywords:

Limit analysis, equilibrium mesh-free method, second-order cone programming, Airy function

Abstract

This paper presents a numerical procedure for lower bound limit analysis of plane problems governed by von Mises yield criterion. The stress fields are calculated based on the Airy function which is approximated using the moving least squares technique. With the use of the Airy-based equilibrium mesh-free method, equilibrium equations are ensured to be automatically satisfied a priori, and the size of the resulting optimization problem is reduced significantly. Various plane strain and plane stress with arbitrary geometries and boundary conditions are examined to illustrate the performance of the proposed procedure.

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Published

25-09-2016

How to Cite

V. Le, C., Ho, P. L. H., & Nguyen, H. T. (2016). Airy-based equilibrium mesh-free method for static limit analysis of plane problems. Vietnam Journal of Mechanics, 38(3), 167–179. https://doi.org/10.15625/0866-7136/38/3/5961

Issue

Section

Research Paper