A polygonal finite element method for shakedown analysis of structures

Author affiliations

Authors

  • Phuc L. H. Ho University Core Research Center for Disaster-free & Safe Ocean City Construction, Dong-A University, Busan, 49315, South Korea https://orcid.org/0000-0002-5794-805X
  • Canh V. Le \(^1\) School of Civil Engineering and Management, International University, Ho Chi Minh City, Vietnam
    \(^2\) Vietnam National University, Ho Chi Minh City, Vietnam
    https://orcid.org/0000-0003-4028-6659
  • Phuong H. Nguyen University Core Research Center for Disaster-free & Safe Ocean City Construction, Dong-A University, Busan, 49315, South Korea https://orcid.org/0000-0001-7497-9467
  • Dung T. Tran Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam https://orcid.org/0000-0002-5132-0544

DOI:

https://doi.org/10.15625/0866-7136/19027

Keywords:

polygonal finite element method, shakedown analysis, cyclic load, second-order cone programming

Abstract

This study presents an innovative numerical method that combines the polygonal finite element method (Poly-FEM) with conic optimization techniques within the framework of structural shakedown analysis. The resulting optimization problem is formulated as a second-order cone programming (SOCP) problem and is efficiently solved using the MOSEK primal-dual interior-point solver. Numerical experiments validate the computational efficiency and efficacy of the proposed approach.

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Published

30-09-2023

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