Quasilinearization technique for solving nonlinear problems of solid mechanics

The approximate solutions to the problems for an infinite plate with the circular hole under creep regime and a rotating disc under creep conditions are obtained by the quasilinearization method. Using quasilinearization method a monotonic sequence of approximate solutions is constructed. Four appro...

Full description

Saved in:
Bibliographic Details
Main Authors: Stepanova, L. V., Zhabbarov, R. M.
Format: Conference Proceeding
Language:English
Subjects:
Approximation
Rotating disks
Solid mechanics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The approximate solutions to the problems for an infinite plate with the circular hole under creep regime and a rotating disc under creep conditions are obtained by the quasilinearization method. Using quasilinearization method a monotonic sequence of approximate solutions is constructed. Four approximations of the solutions for 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 to note that the tangential stress reaches its maximum value not at the circular hole but at the internal point of the plate. The performance of the technique is examined through numerical examples which show that the method is stable. It is shown that quasilinearization method is the effective method for nonlinear problems.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0059706