Abstract

The plane transient thermoelastic problem for an infinite wedge subjected to an instantaneous heat source at an arbitrary location is considered. The problem is formulated in terms of displacements and Mellin-Laplace transforms are used for the solution. A real integral representation of the stress field is given. The main emphasis is placed on the analysis of the singular behavior of stresses around the apex for large values of the wedge angle, 2β. It is found that in the symmetric case for β >π/2 and in the antisymmetric case for β > 0.715π the apex is a point of singularity for the stresses. The power of this singularity as well as the variation of the stresses in θ and that of the stress intensity factor in time is studied and some numerical results are given.

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