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Thermal stress intensity factors for a crack in a strip of a functionally gradient material. (English) Zbl 0767.73055

A crack in a strip of functionally gradient material mathematically modeled by a nonhomogeneous solid with the prescribed surface temperature is studied. The crack faces are supposed to be completely insulated. It is assumed that all material properties depend only on the coordinate \(y\) (perpendicular to the crack faces) in such a way that the properties are some exponential functions of \(y\). By using the Fourier transform, the thermal and mechanical problems are reduced to two systems of singular integral equations, respectively, which are solved numerically.

MSC:

74R99 Fracture and damage
74A15 Thermodynamics in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
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