Abstract
Geometrically nonlinear relationships are derived for thin elastic shells subjected to nonuniform heating. A discrete system describing the thermally stressed state of a shell subject to significant shape variation is obtained using the concept of finite elements. The strain state is determined by the iteration method, based on computation of the first and second variations of the system's energy. Examples are cited for the calculation of a plate with an elliptical heating zone and a shell of canonical shape under nonstationary heating.
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Translated from Problemy Prochnosti, No. 10, pp. 69–74, October, 1990.
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Kuznetsov, V.V., Soinikov, Y.V. Analysis of the thermally stressed state of shells of arbitrary shape. Strength Mater 22, 1472–1481 (1990). https://doi.org/10.1007/BF00767235
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DOI: https://doi.org/10.1007/BF00767235