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 (https://doi.org/10.3390/jcs4020076)

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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.

ORCID iDs

Yang, Zhenghao ORCID logoORCID: https://orcid.org/0000-0001-9976-8607, Oterkus, Erkan ORCID logoORCID: https://orcid.org/0000-0002-4614-7214 and Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279;
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