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Mathematical simulation of the process of formation of thinwalled structures of a given shape

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Abstract

By minimizing the functional of mean-square deviation of the residual displacements from given displacements, we obtain a system of equations for a model of the formation of thinwalled structural elements of a given shape by the method of elastoplastic deformation. A method of numerical solution of the problem is proposed.

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Literature cited

  1. Ya. M. Grigorenko and A. P. Mukoed,Solution of of Nonlinear Problems of Shell Theory on a Computer [in Russian], Vishcha Shkola, Kiev (1983).

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  3. V. I. Myachenkov and I. V. Grigor'ev,Computation of Component Shell Structures on a Computer [in Russian], Mashinostroenie, Moscow (1981).

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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 152–156.

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Shablii, O.N., Mikhailishin, M.S. & Dyachuk, S.F. Mathematical simulation of the process of formation of thinwalled structures of a given shape. J Math Sci 67, 2964–2967 (1993). https://doi.org/10.1007/BF01095878

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  • DOI: https://doi.org/10.1007/BF01095878

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