用准线性化方法对均匀拉伸载荷作用下旋转盘和带孔板的稳态蠕变进行了精细化分析

L. Stepanova, R. M. Zhabbarov
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引用次数: 0

摘要

用拟线性化方法对等张载荷作用下的旋转盘和带孔板的稳态蠕变进行了精细分析。结果表明,幂律本构方程的高蠕变指数需要在拟线性化方法框架下进行多次迭代。利用拟线性化方法,得到了蠕变状态下无限圆孔板问题的近似解。找到了非线性问题解的四种近似解。结果表明,随着逼近次数的增加,解收敛于极限数值解。值得注意的是,切向应力不是在圆孔处而是在板的内点处达到最大值。结果表明,拟线性化方法是求解非线性问题的一种有效方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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
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.
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