A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method

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Published Aug 20, 2019
DOI https://doi.org/10.3221/IGF-ESIS.50.23

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Kamel Meftah
University of Biskra, Laboratoire de Génie Energétique et Matériaux, LGEM, Faculty of Science and Technology
http://orcid.org/0000-0002-5671-602X Lakhdar Sedira
University of Biskra, Laboratoire de Génie Mécanique, LGM, Faculty of Sciences and Technology, Biskra, 07000, Algeria
http://orcid.org/0000-0003-1735-2195

Abstract

In this paper, a finite element simulation of nonlinear elasto-plastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4g element with transverse energy of shearing for thick bending plates is extended to account for isotropic material nonlinearities. An incremental finite element procedure has been used for the elasto-plastic analysis of the thick bending plate. Modified Newton-Raphson method has been used to solve the nonlinear equations. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. To verify the present element, simple tests are demonstrated and various elasto-plastic problems in which the development of the plastic zone are solved.

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    Issue
    Vol. 13 No. 50 (2019): October 2019
    Section
    Analytical, Numerical and Physical Models

    How to Cite

    Meftah, K., & Sedira, L. (2019). A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method. Frattura Ed Integrità Strutturale, 13(50), 276–285. https://doi.org/10.3221/IGF-ESIS.50.23

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