Abstract
We give a mathematical formulation of the problem of optimizing the stressed state of a T-joint under local heating and propose a method of solution based on the finite element method. We give the results of numerical solution of specific problems.
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Literature Cited
B. L. Bozhenko, “Variational principles and the finite element method in extremal problems of the thermomechanics of shells of revolution,” in:Proceedings of the Eighth Conference of Young Scholars at the Institute of Applied Problems of Mechanics and Mathematics of the Ukrainian SSR Academy of Sciences [in Russian], L'vov (1982), pp. 3–9.
B. L. Bozhenko, “Determination of the stress-optimal temperature fields in a conical shell by the applied finite element method,” inProceedings of the Ninth Conference of Young Scholars at the Institute of Applied Problems of Mechanics and Mathematics of the Ukrainian SSR Academy of Sciences [in Russian], L'vov (1984), Pt. 1, pp. 13–17.
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Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol 39, No. 1, 1996, pp. 115–118.
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Bozhenko, B.L. Optimization of the thermoelastic state of an element of a T-joint under local heating. J Math Sci 86, 2620–2622 (1997). https://doi.org/10.1007/BF02356108
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DOI: https://doi.org/10.1007/BF02356108