Abstract

In this paper, the nonlinear time history response and dynamic-buckling of functionally graded material (FGM) shell structures in thermal environments with temperature-dependent material properties is studied. An implicit conservative/decaying time integration scheme and a curved 8-node degenerated shell element are used for time and spatial discretization respectively. Numerical results show that the developed shell element formulation with the implicit time integration scheme is capable of solving nonlinear dynamic-buckling and large displacement dynamic problems of FGM shells in severe thermal environments. Th influence of material constituents, power-law indexes and thermo-mechanical loadings on the transient dynamic response and dynamic-buckling phenomena are considered.

摘要

在本文中，研究了具有温度相关材料特性的热环境中功能梯度材料 (FGM) 壳结构的非线性时程响应和动态屈曲。隐式保守/衰减时间积分方案和弯曲的 8 节点退化壳单元分别用于时间和空间离散化。数值结果表明，所开发的具有隐式时间积分方案的壳单元公式能够解决 FGM 壳在严酷热环境中的非线性动力屈曲和大位移动力问题。考虑了材料成分、幂律指数和热机械载荷对瞬态动态响应和动态屈曲现象的影响。