A rigid inclusion in an elastic space under the action of a uniform heat flow in the inclusion plane |
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Authors: | A Kaczyński B Monastyrskyy |
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Institution: | 1. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland;2. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU, 3-b Naukova Str., 79060 Lviv, Ukraine |
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Abstract: | A solution is presented for the three dimensional static thermoelastic problem of an absolutely rigid inclusion (anticrack) in the case when a uniform heat flow is directed along the inclusion plane. By using the potential method and the Fourier transform technique, the problem is reduced to a system of coupled two-dimensional singular integral equations for the shear stress jumps across the inclusion. As an illustration, a typical application to the circular anticrack is presented. Explicit expressions for the thermal stresses in the inclusion plane are obtained and discussed from the point of view of material failure. |
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Keywords: | Three-dimensional Heat flow Rigid inclusion Thermal stress Potential theory method Stress singularity |
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