Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method
Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method
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DOI：
10.3970/cmes.2010.065.027
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发表时间：
2010-11
影响因子：
2.4
通讯作者：
Ahmad Akbari;A. Bagri;S. Bordas;T. Rabczuk
中科院分区：
文献类型：
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作者：
Ahmad Akbari;A. Bagri;S. Bordas;T. Rabczuk
本文着重研究功能梯度固体和结构中二维弹性波传播的模拟。假定组成材料的梯度体积分数在仅一个方向上遵循位置的幂律函数，并且材料的有效力学性能由森重文 - 谷川（Mori - Tanaka）方法确定。通过扩展一种被称为无网格局部彼得罗夫 - 伽辽金（MLPG）方法的无网格方法进行研究，该方法是一种用于热弹性波传播的真正无网格方法。对瞬态热载荷下的矩形区域进行模拟。为了研究材料成分对功能梯度材料动态响应的影响，考虑一种金属/陶瓷（将铝（Al）和氧化铝（Al₂O₃）分别视为陶瓷和金属成分）复合材料，并针对不同的材料分布报告其瞬态热场、动态位移场和应力场。
This contribution focuses on the simulation of two-dimensional elastic wave propagation in functionally graded solids and structures. Gradient volume fractions of the constituent materials are assumed to obey the power law function of position in only one direction and the effective mechanical properties of the material are determined by the Mori–Tanaka scheme. The investigations are carried out by extending a meshless method known as the Meshless Local Petrov-Galerkin (MLPG) method which is a truly meshless approach to thermo-elastic wave propagation. Simulations are carried out for rectangular domains under transient thermal loading. To investigate the effect of material composition on the dynamic response of functionally graded materials, a metal/ceramic (Aluminum (Al) and Alumina (Al2O3) are considered as ceramic and metal constituents) composite is considered for which the transient thermal field, dynamic displacement and stress fields are reported for different material distributions.