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Thermal Stresses in an Elastic Rectangle

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Abstract

The paper addresses the method of determining the two-dimensional thermal stresses in a rectangular isotropic plate or a long bar with arbitrary temperature distribution in the plane and with no variation in temperature through the thickness is presented. The thermal stress have been obtained by the superposition method in terms of Fourier series that satisfy the differential equation and the boundary conditions. The method is illustrated by two examples. The distribution of stresses along some typical lines in the rectangle are computed and the possibilities of approximate solutions are estimated.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, Faculty of Mechanics and Mathematics, Kiev National Taras Shevchenko University, 01601, Kiev, Ukraine

    Viatcheslav V. Meleshko

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  1. Viatcheslav V. Meleshko
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Correspondence to Viatcheslav V. Meleshko.

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Dedicated to the memory of Donald E. Carlson.

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Meleshko, V.V. Thermal Stresses in an Elastic Rectangle. J Elast 105, 61–92 (2011). https://doi.org/10.1007/s10659-011-9338-1

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