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

  • M. P. Savruk
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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.

Keywords

Mechanical Engineer Integral Equation Exact Solution Approximate Solution Large Distance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

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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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