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首页> 外文期刊>Applied Mathematical Modelling >Post buckling response of functionally graded materials plate subjected to mechanical and thermal loadings with random material properties
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Post buckling response of functionally graded materials plate subjected to mechanical and thermal loadings with random material properties

机译：功能梯度材料板在机械和热载荷作用下具有随机材料特性的后屈曲响应

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摘要

In this paper, the second order statistics of post buckling response of functionally graded materials plate (FGM) subjected to mechanical and thermal loading with nonuniform temperature changes subjected to temperature independent (TID) and dependent (TD) material properties is examined. Material properties such as material properties of each constituent's materials, volume fraction index are taken as independent random input variables. The basic formulation is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear kinematic using modified C~0 continuity. A direct iterative based C~0 nonlinear finite element method (FEM) combined with mean centered first order perturbation technique (FOPT) proposed by last two authors for the composite plate is extended for Functionally Graded Materials (FGMs) plate with reasonable accuracy to compute the second order statistics (mean and coefficient of variation) of the post buckling load response of the FGM plates. The effect of random material properties with amplitude ratios, volume fraction index, plate thickness ratios, aspect ratios, boundary conditions and types of loadings subjected to TID and TD material properties are presented through numerical examples. The performance of outlined present approach is validated with the results available in literatures and independent Monte Carlo simulation (MCS).
机译：在本文中，功能梯度材料板（FGM）在经受机械和热负荷且温度变化不均匀的情况下经受温度独立（TID）和相关（TD）材料性能的屈曲后响应的二阶统计量得到了检验。诸如每种成分的材料的材料特性，体积分数指数之类的材料特性被视为独立的随机输入变量。基本公式基于具有修正C〜0连续性的von-Karman非线性运动学的高阶剪切变形理论（HSDT）。将基于最后迭代的C〜0非线性有限元方法（FEM）与后两位作者针对复合板提出的均心第一阶微扰技术（FOPT）相结合，以合理的精度扩展到功能梯度材料（FGMs）板以计算FGM板屈曲后载荷响应的二阶统计量（均值和变异系数）。通过数值示例介绍了随机材料特性对振幅比，体积分数指数，板厚比，纵横比，边界条件和受TID和TD材料特性影响的载荷类型的影响。概述的当前方法的性能已得到文献和独立蒙特卡洛模拟（MCS）中可用结果的验证。

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