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Mathematics and Mechanics of Solids
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Article

Boundary Integral Equations for Thermoelastic Plates with Cracks

Igor Chudinovich and Christian Constanda

Department of Mathematical and Computer Sciences, University of Tulsa, USA

* To whom correspondence should be addressed.


  Abstract

The solutions of initial-boundary value problems for bending of a thermoelastic plate with a crack in the case of Dirichlet and Neumann boundary conditions prescribed on the crack edges are represented as a sum of thermoelastic single-layer and double-layer potentials with unknown densities, and the unique solvability of the corresponding boundary integral equations is discussed in a distributional setting.

Key Words: Thermoelastic plate, cracks, boundary integral equations, unique solvability

First published on September 17, 2008
Mathematics and Mechanics of Solids 2008, doi:10.1177/1081286508094334
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