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Two-dimensional thermal elasticity problem for a body weakened by a system of thermally insulated cracks
Authors:M P Savruk
Institution:1. L'vov
Abstract:The thermally elastic state of a body in two dimensions with cracks has been investigated in a number of articles (see the survey in 1]). However, in the majority of cases problems have been investigated in which temperature stresses in a body are weakened by a single crack. The existing solutions of problems on the interaction between thermally insulated cracks in an elastic body have been confined to simple cases either with collinear 2, 3] or with arched cracks 4, 5]. Below the two-dimensional thermoelastic problem for an infinite body with arbitrarily positioned straight-lined thermally insulated cracks is studied by reducing it to a system of singular integral equations. An approximate solution is found for large distances between cracks. An exact solution is obtained in the case of a periodic system of collinear cracks.
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