Open AccessQUAZILINEARIZATION METHOD FOR THE SOLUTION TO THE PROBLEM OF PLATE WITH THE CENTRAL CIRCULAR HOLE UNDER CREEP REGIME
Author(s) -
Л. В. Степанова,
Р. М. Жаббаров
Publication year - 2017
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2017-23-2-44-50
Subject(s) - creep , nonlinear system , limit (mathematics) , mathematics , point (geometry) , exact solutions in general relativity , mathematical analysis , stress (linguistics) , geometry , physics , thermodynamics , quantum mechanics , linguistics , philosophy
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.