Abstract

The steady-state thermoelasticity problem of a cracked fiber-reinforced slab under a state of generalized plane deformation is studied. The crack is considered to be located on a plane parallel to the bounding surfaces of the slab. Based on the method of Fourier integral transform, the current mixed boundary value thermoelasticity problem is reduced to solving two sets of singular integral equations for heat conduction and thermal stresses in a cracked anisotropic medium. The thermally-induced crack-tip stress intensity factors are defined in terms of the solutions of the corresponding integral equations. Numerical results are presented, focusing on the effects of relative crack size, crack location, and fiber volume fraction on the thermal stress intensity factors as a function of the fiber orientation angle. The effect of a partially insulated crack surface condition on the strength of thermal stress singularities is also discussed.

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