Vol. 5, No. 4, 2010

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ISSN: 1559-3959
A generalized plane strain meshless local Petrov–Galerkin method for the micromechanics of thermomechanical loading of composites

Isa Ahmadi and Mohamad Aghdam

Vol. 5 (2010), No. 4, 549–566
Abstract

A generalized plane strain micromechanical model is developed to predict the behavior of a unidirectional fiber-reinforced composite subjected to combined thermal and mechanical loads. An appropriate meshless local Petrov–Galerkin formulation is presented for the solution of the governing partial differential equations of the problem. To reduce computation time, a unit step function is employed as test function. A direct method is presented for enforcement of the continuity of displacement and traction at the fiber-matrix interface to model the fully bonded interface. Results of this study revealed that the model provides highly accurate predictions with relatively small number of nodes. Numerical results for glass/epoxy and SiC/Ti composites subjected to thermomechanical loading show that predictions for both local and global responses of the composites are in good agreement with results of theoretical, experimental and finite element methods.

Keywords
meshless local Petrov–Galerkin method, MLPG, generalized plane strain, micromechanics, metal-matrix composite, thermal residual stress
Milestones
Received: 26 April 2009
Revised: 30 November 2009
Accepted: 7 December 2009
Published: 8 November 2010
Authors
Isa Ahmadi
Department of Mechanical Engineering
Amirkabir University of Technology
Tehran 15914
Iran
Mohamad Aghdam
Thermoelasticity Center of Excellency
Department of Mechanical Engineering
Amirkabir University of Technology
Tehran 15914
Iran