Two-dimensional thermal elasticity problem for a body weakened by a system of thermally insulated cracks

  • M. P. Savruk


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.


Mechanical Engineer Integral Equation Exact Solution Approximate Solution Large Distance 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • M. P. Savruk
    • 1
  1. 1.L'vov

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