Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments
Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments
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DOI：
10.1016/s0020-7403(01)00103-5
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发表时间：
2002-03
影响因子：
7.3
通讯作者：
Hui‐Shen Shen
中科院分区：
文献类型：
--
作者：
Hui‐Shen Shen
本文对四边简支功能梯度矩形板在横向均布载荷和正弦载荷作用下的非线性弯曲问题进行了分析。材料的性能被假定为是温度依赖性的，并根据一个简单的幂律分布的组分的体积分数在厚度方向上分级。功能梯度板的控制方程是基于Reddy的高阶剪切变形板理论，包括热效应。两种情况下的面内边界条件被认为是。一个混合的伽辽金摄动技术来确定载荷-挠度和载荷-弯矩曲线。数值例子涉及两种材料的功能梯度矩形板的非线性弯曲响应。研究了温升、面内边界条件、横向剪切变形、板的高宽比和体积分数分布等因素的影响。
Nonlinear bending analysis is presented for a simply supported, functionally graded rectangular plate subjected to a transverse uniform or sinusoidal load and in thermal environments. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The governing equations of a functionally graded plate are based on Reddy's higher-order shear deformation plate theory that includes thermal effects. Two cases of the in-plane boundary conditions are considered. A mixed Galerkin-perturbation technique is employed to determine the load-deflection and load-bending moment curves. The numerical illustrations concern nonlinear bending response of functional graded rectangular plates with two constituent materials. The influences played by temperature rise, the character of in-plane boundary conditions, transverse shear deformation, plate aspect ratio and volume fraction distributions are studied.