An effective scheme for solving a class of nonlinear boundary value problems of stress concentration through quasilinearisation approach

Abstract

The approximate analytical solution to the problem for an infinite plate with the central circular hole subjected to uniaxial tension under creep regime is obtained by the quasilinearisation method. Three approximations of the solution 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. Using SUMULIA Abaqus soft-package several numerical solutions for various creep exponent values are obtained 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 shown that quasilinearisation method is the effective method for nonlinear problems.