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Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures

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Abstract

This study presents an efficient numerical approach for pseudo-lower bound limit analysis of structures. The total stress field is decomposed into two components: an elastic component associated with the safety factor and a self-equilibrating residual component. Subsequently, equilibrium conditions within the optimization problem are satisfied in a weak manner. The application of the adaptive quadtree edge-based smoothed finite element method (ES-FEM), combined with the transformation into the second-order cone programming (SOCP) form, ensures the resulting optimization problem remains minimal in size. Moreover, employing a yield stress-based adaptive strategy in the proposed procedure either accurately provides limit loads with low computational effort or effectively predicts the collapse mechanism through the concentration of elements after mesh refinement progress. The investigation of a series of numerical tests confirms the effectiveness and reliability of the proposed method.

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Funding

Phuc L. H. Ho would like to thank the support by Basic Science Research Program through the National Research Foundation (NRF) funded by Korea Ministry of Education (No. 2016R1A6A1A0312812).

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Authors and Affiliations

  1. University Core Research Center for Disaster-free and Safe Ocean City Construction, Dong-A University, Busan, 49315, Republic of Korea

    Phuc L. H. Ho

  2. Center for Digital Cardiovascular Innovations, University of Miami, Miami, FL, 33136, USA

    Changkye Lee

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  1. Phuc L. H. Ho
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Ho, P.L.H., Lee, C. Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures. Int J Mech Mater Des (2024). https://doi.org/10.1007/s10999-024-09716-6

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