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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017 Issue 2, Pages 44–50 (Mi vsgu541)

This article is cited 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

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.

UDC: 539.4

Received: 29.06.2017



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