Open AccessEffect of the anisotropic yield condition on the predicted distribution of residual stresses in a thin disk
Author(s) -
Ф. В. Гречников,
Yaroslav Erisov,
Sergei Alexandrov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524863301-306
Subject(s) - residual , yield (engineering) , residual stress , distribution (mathematics) , boundary value problem , mathematics , anisotropy , exact solutions in general relativity , mechanics , mathematical analysis , materials science , physics , composite material , optics , algorithm
The effect of the replacement of the exact yield condition by that averaged over the distribution of residual stresses in a thin hollow disk subjected to external pressure and subsequent unloading is investigated. The formulation of the boundary-value problem is specially simplified so that it is possible to obtain a mathematically exact semi-analytical solution, with the help of which it is easy to investigate the effect of averaging the yield condition on the stressed state including the distribution of residual stresses. The accepted exact yield condition is averaged using several generally accepted approaches. The comparative analysis of the distribution of residual stresses shows a significant deviation of the distribution resulting from solutions for the averaged yield conditions from the exact distribution of residual stresses.