A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams

A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams
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DOI：
10.32604/cmes.2020.010804
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发表时间：
2020-07
期刊：
Computer Modeling in Engineering & Sciences
影响因子：
--
通讯作者：
Zhenghao Yang;E. Oterkus;S. Oterkus
Zhenghao Yang;E. Oterkus;S. Oterkus
中科院分区：
其他
文献类型：
--
作者：
Zhenghao Yang;E. Oterkus;S. Oterkus

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In this study, a new state-based peridynamic formulation is developed for functionally graded Euler-Bernoulli beams. The equation of motion is developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different boundary conditions are considered including pinned support-roller support, pinned support-pinned support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse and axial deformations and a very good agreement is observed for all different types of boundary conditions.