Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow |
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Authors: | Andrzej Kaczy´nski Wojciech Kozłowski |
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Affiliation: | Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland |
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Abstract: | This paper examines the three-dimensional problem of finding thermal stresses due to an insulated rigid sheet-like inclusion (anticrack) in an elastic space under a uniform perpendicular heat flow. By using appropriate harmonic potentials, a general method of solving this problem is presented. The resulting boundary-value problems are reduced to classical mixed problems of potential theory. For the purpose of illustration, a complete solution in terms of elementary functions for a rigid circularly shaped inclusion is given and discussed from the point of view of material failure. |
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