A new beam finite element for the analysis of functionally graded materials
A new beam finite element for the analysis of functionally graded materials
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DOI：
10.1016/s0020-7403(03)00058-4
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发表时间：
2003-03-01
影响因子：
7.3
通讯作者：
Reddy, JN
中科院分区：
文献类型：
--
作者：
Chakraborty, A;Gopalakrishnan, S;Reddy, JN
提出了一种新的梁单元，用于研究功能梯度梁结构的热弹性行为。该单元基于一阶剪切变形理论，并考虑了沿厚度方向的弹性和热学性质的变化。控制微分方程组静态部分的精确解被用来构造单元公式的插值多项式。因此，该单元的刚度矩阵具有超收敛特性，且无剪切闭锁。材料性能分布的指数变化和幂函数变化被用来检验不同的应力变化。考虑了静力、自由振动和波的传播问题，突出了功能梯度材料梁与纯金属或纯陶瓷梁的行为差异。(C)2003爱思唯尔科学有限公司。保留所有权利。
A new beam element is developed to study the thermoelastic behavior of functionally graded beam structures. The element is based on the first-order shear deformation theory and it accounts for varying elastic and thermal properties along its thickness. The exact solution of static part of the governing differential equations is used to construct interpolating polynomials for the element formulation. Consequently, the stiffness matrix has super-convergent property and the element is free of shear locking. Both exponential and power-law variations of material property distribution are used to examine different stress variations. Static, free vibration and wave propagation problems are considered to highlight the behavioral difference of functionally graded material beam with pure metal or pure ceramic beams. (C) 2003 Elsevier Science Ltd. All rights reserved.