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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2017, Issue 2, Pages 44–50
(Mi vsgu541)
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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics
Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime
L. V. Stepanova, R. M. Zhabbarov Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The approximation solution of the problem for an infinite plate with the circular hole under creep regime is obtained by the quazilinearization method. Four approximations of the solution of the nonlinear problems are found. It is shown that with increasing of the number of approximations the solution converges to the limit numerical solution. It is worth to note that the tangential stress reaches its maximum value not at the circular hole but at the internal point of the plate. It is also shown that quazilinearization method is an effective method for nonlinear problems.
Keywords:
quazilinearization method, plate comprehensively stretching, stress field in the neighborhood of crack tips, nonlinear problems, Beyley–Norton's power law, analytical solution.
Received: 29.06.2017
Citation:
L. V. Stepanova, R. M. Zhabbarov, “Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 2, 44–50
Linking options:
https://www.mathnet.ru/eng/vsgu541 https://www.mathnet.ru/eng/vsgu/y2017/i2/p44
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Abstract page: | 180 | Full-text PDF : | 89 | References: | 37 |
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