Influence of Residual Welding Stresses on the Limit Equilibrium of a Transversely Isotropic Cylindrical Shell with Internal Crack of Any Configuration

被引：0

作者：

Kindrats’kyi B.І. ^{[1
]}

Nykolyshyn Т.М. ^{[2
]}

Porokhovs’kyi Y.V. ^{[2
]}

机构：

[1] “L’vivs’ka Politekhnika” National University, Lviv

[2] Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv

来源：

Journal of Mathematical Sciences | 2019年 / 243卷 / 1期

关键词：

D O I：

10.1007/s10958-019-04529-x

中图分类号：

学科分类号：

摘要：

We reduce the elastoplastic problem of limit equilibrium of a transversely isotropic cylindrical shell weakened by an internal longitudinal plane crack of any configuration located in the field of residual stresses to the problem of elastic equilibrium of the same shell containing a through crack of unknown length. This problem, in turn, is reduced to a system of nonlinear singular integral equations. We propose an algorithm for the numerical solution of the obtained system together with the conditions of plasticity, boundedness of stresses, and uniqueness of displacements. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：101 / 110

页数：9

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