Transient Coupled Thermoelastic Contact Problems Incorporating Thermal Resistance: a BEM Approach
L.K. Keppas; G.I. Giannopoulos; and N.K. Anifantis

doi:10.3970/cmes.2008.025.181
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 25, No. 3, pp. 181-196, 2008
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Keywords Thermal shock; coupled analysis; BEM; Thermal contact resistance; Interfacial crack; thermal barrier coating.
Abstract In the present paper a boundary element procedure is formulated to treat two-dimensional time dependent thermo-elastic contact problems incorporating thermal resistance along the contacting surfaces. The existence of pressure-dependent thermal contact leads to coupling of temperature and stress fields. Therefore, the inherent non-linearity of the problem demands simultaneous treating of both thermal and mechanical boundary integral equations while iterative procedures are introduced to ensure equilibrium of mechanical and thermal contact conditions at each step of the process. The transient behavior of interfacial cracks in bimaterial solids when undergo thermal shock in the presence of partial crack closure and thermal contact resistance may be an interesting aspect of engineering design. For this purpose the methodology is applied on a thermal barrier coating system (TBC). Near crack tip singularities of temperature and displacement fields are modeled through appropriate quarter-point singular elements. Fracture parameters are evaluated from nodal tractions of singular elements utilizing proper formulas. Numerical results are compared with available solutions from the literature, where possible. Good agreement between them can be found.
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