Quasilinearization method for analytical solutions to nonlinear problems of solid mechanics: A plate with a central circular hole under the creep regime

An approximate solution to the problem of an infinite plate with a circular hole the under creep regime is obtained by the quasilinearization method. Four approximations of the solution to the nonlinear creep problem are found. It is shown that, with increasing the number of approximations, the solu...

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Bibliographic Details
Main Authors: Stepanova, L. V., Zhabbarov, R. M.
Format: Conference Proceeding
Language:English
Subjects:
Approximation
Exact solutions
Nonlinear analysis
Solid mechanics
Online Access:Get full text
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Summary:An approximate solution to the problem of an infinite plate with a circular hole the under creep regime is obtained by the quasilinearization method. Four approximations of the solution to the nonlinear creep problem are found. It is shown that, with increasing the number of approximations, the solution converges to the limit numerical solution. It is worth noting that the tangential stress reaches its maximum value not at the circular hole, but at an internal point of the plate. It is shown that the quasilinearization method is an effective method for nonlinear problems.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0036666