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A thermodynamic framework for the evaluation of microdamages in functionally graded medium

ABSTRACT In this article, damaged medium is modeled by the microelongation theory which neglects the micropolar effects in Eringen's microstretch theory.Thermal strain, displacement, and microelongation arising from the functionally graded microdamaged material (FGM) in presence of a periodically varying heat source are presented. In this context, the generalized heat conduction equation with two relaxation times is considered. The solution is achieved by the proper usage of integral transforms such as the exponential Fourier transform and the Laplace transform. The variations of microelongation, displacement, and strain are shown graphically in the context of an exponentially varying FGM.