Peridynamic formulation for higher-order plate theory

Yang, Zhenghao and Oterkus, Erkan and Oterkus, Selda (2020) Peridynamic formulation for higher-order plate theory. Journal of Peridynamics and Nonlocal Modeling. ISSN 2522-8978

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    Abstract

    In this study, a new peridynamic model is presented for higher-order plate theory. The formulation is derived by using Euler-Lagrange equation and Taylor’s expansion. The formulation is verified by considering two benchmark problems including simply supported and clamped plates subjected to transverse loading. Moreover, mixed (simply supported-clamped) boundary conditions are also considered to investigate the capability of the current formulation for mixed boundary conditions. Peridynamic results are compared with finite element analysis results and a very good agreement was obtained between the two approaches.