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On 3D symmetrical thermoelastic anticrack problems
Arch. Mech. 68 (2), 99-112, 2016
Keywords: three-dimensional anticrack; symmetrical temperature problem; potential theory method; thermal stress singularity
Abstract
A potential theory method is developed to solve a symmetrical thermoelastic problem of a cooling temperature field applied over the faces of a rigid sheet-like inclusion (an anticrack) in an elastic space. The governing boundary two-dimensional (2D) singular integral equations for an arbitrarily shaped anticrack are derived in terms of unknown thermal shear stress jumps. As an illustration, a complete solution expressed in elementary functions to the problemof a circular rigid inclusion subjected to a uniform temperature is presented and interpreted from the point of view of fracture theory.