Peridynamic mindlin plate formulation for functionally graded materials

Yang, Zhenghao and Oterkus, Erkan and Oterkus, Selda (2020) Peridynamic mindlin plate formulation for functionally graded materials. Journal of Composites Science, 4 (2). 76. ISSN 2504-477X

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    Abstract

    In this study, a new peridynamic Mindlin plate formulation is presented which is suitable for the analysis of functionally graded materials. The governing equations of peridynamic formulation are obtained by using Euler-Lagrange equations in conjunction with Taylor’s expansion. To validate the new formulation, three different numerical benchmark problems are considered for a Mindlin plate subjected to simply supported, fully clamped and mixed (clamped-simply supported) boundary conditions. Peridynamic results are compared against results from finite element analysis and a good agreement is observed between the two methods.