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ARTICLE

Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method

Ahmad Akbari R.¹, Akbar Bagri², Stéphane P. A. Bordas^3,4, Timon Rabczuk⁵

1 Department of Energy, Power and Water Institute of Technology, Tehran, Iran
2 Division of Engineering, Brown University, Providence, RI 02912, USA
3 Royal Academy of Engineering/Leverhulme Senior Research Fellow
4 Corresponding author stephane.bordas@alumni.northwestern.edu
5 Institute of Structural Mechanics, Bauhaus-University Weimar Marienstraße 15, 99423 Weimar, Germany

Computer Modeling in Engineering & Sciences 2010, 65(1), 27-74. https://doi.org/10.3970/cmes.2010.065.027

Abstract

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.

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Keywords

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