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

L. V. Stepanova ; R. M. Zhabbarov

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 26 (2020) no. 1, pp. 78-94

Résumé

Refined analysis of the steady state creep of a rotating disk and a plate with a central hole under uniform tensile load by the quasilinearization method is presented. It is shown that the high values of the creep exponent in power law constitutive equations require more iterations in the framework of the quasilinearization method in each problem. 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 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.

Détail

Keywords: quazilinearization method, plate comprehensively stretching, stress field in the neighborhood of crack tips, nonlinear problems, Beyley–Norton's power law, analytical solution.