REFINED ANALYSIS OF STEADY STATE CREEP OF A ROTATING DISK AND A PLATE WITH A CENTRAL HOLE UNDER UNIFORM TENSILE LOAD BY THE QUAZILINEARIZATION METHOD

Abstract

Refined analysis of the steady state creep of a rotating disk and a plate with a central hole under uniformtensile load by the quasilinearization method is presented. It is shown that the high values of the creepexponent in power law constitutive equations require more iterations in the framework of the quasilinearizationmethod in each problem. The approximation solution of the problem for an infinite plate with the circularhole under creep regime is obtained by the quazilinearization method. Four approximations of the solution ofthe nonlinear problems are found. It is shown that with increasing the number of approximations the solutionconverges to the limit numerical solution. It is worth to note that the tangential stress reaches its maximumvalue not at the circular hole but at the internal point of the plate. It is also shown that quazilinearizationmethod is an effective method for nonlinear problems.