This paper presents a numerical investigation on the nonlinear dynamic response of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) beam with open edge cracks in thermal environment. It is assumed that graphene platelets (GPLs) in each GPLRC layer are uniformly distributed and randomly oriented with its concentration varying layer-wise along the thickness direction. The effective material properties of each GPLRC layer are predicted by Halpin-Tsai micromechanics-based model. Finite element method is employed to calculate the dynamic response of the cracked FG-GPLRC beam. It is found that the maximum dynamic deformation of the cracked FG-GPLRC beam under dynamic loading is quite sensitive to the crack location and grows with an increase in the crack depth ratio (CDR) and temperature rise. The influences of GPL distribution, concentration, geometry as well as the boundary conditions on the dynamic response characteristics of cracked FG-X-GPLRC beams are also investigated comprehensively.

中文翻译：

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FG石墨烯片增强带边裂纹复合梁在热环境中的非线性动态响应

本文介绍了在热环境中具有开放边缘裂纹的多层功能梯度石墨烯片增强复合材料 (FG-GPLRC) 梁的非线性动态响应的数值研究。假设每个 GPLRC 层中的石墨烯薄片 (GPL) 均匀分布并随机取向，其浓度沿厚度方向逐层变化。每个 GPLRC 层的有效材料特性通过基于 Halpin-Tsai 微力学的模型进行预测。采用有限元法计算开裂FG-GPLRC梁的动力响应。研究发现，FG-GPLRC裂纹梁在动载荷作用下的最大动态变形对裂纹位置非常敏感，并且随着裂纹深度比（CDR）和温度升高的增加而增大。