Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the Meshless Local Petrov-Galerkin (MLPG) method

R. Ahmad Akbari, Akbar Bagri, Stéphane P A Bordas, Timon Rabczuk

Research output: Contribution to journalArticle

27 Citations (Scopus)


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 (Al 2O 3) 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.

Original languageEnglish
Pages (from-to)27-74
Number of pages48
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number1
Publication statusPublished - 2010 Nov 19
Externally publishedYes



  • Functionally graded materials
  • MLPG
  • Thermoelasticity
  • Wave propagation

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

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