A solution method for frictional contact problems of a crack in FGMs under mechanical and thermal loads

摘要

This article provides a numerical treatment of afinite crack in an interfacial layer with spatially varying elasticproperties under in-plane mechanical and thermal loadingconditions. The variation of stress intensity factors and energyrelease rates with the functions which are governing the materialproperties of the interfacial layer is studied. Transient and steady-state response of a central crack in FGMs subjected to themechanical and thermal loads are investigated. Unlike earlierstudies which consider the cracks encountered as open, thecurrent investigation studies cracks in an essentially compressiveenvironment in which the crack faces are in contact and frictionaleffects play an important role. To solve this contact problem, asimple and efficient, iterative finite element method developed byauthors is used. Numerical examples are provided to verify thetechnique and the results are compared with those of the published papers.