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Advances in Materials Science and Engineering
Volume 2016, Article ID 7514638, 12 pages
Research Article

Modelling Thermal Shock in Functionally Graded Plates with Finite Element Method

Department of Applied Mathematics, National Technical University “KhPI”, 21 Frunze Street, Kharkiv 61002, Ukraine

Received 15 April 2016; Revised 24 May 2016; Accepted 2 June 2016

Academic Editor: Sergei V. Panin

Copyright © 2016 Vyacheslav N. Burlayenko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Thermomechanical behavior and crack propagation in a functionally graded metal/ceramic plate undergoing thermal shock are analyzed by using the finite element method. A two-dimensional plane strain functionally graded finite element has been developed within the ABAQUS software environment for this purpose. An actual material gradation has been accomplished by sampling material quantities directly at the Gauss points of the element via programming appropriate user-defined subroutines. The virtual crack closure technique is used to model a crack growth under thermal loading. Contact possible between crack lips during the crack advance is taken into account in thermomechanical simulations as well. The paper shows that the presented finite element model can be applied to provide an insight into the thermomechanical respond and failure of the metal/ceramic plate.