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


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

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.

About the authors

B. І. Kindrats’kyi

“L’vivs’ka Politekhnika” National University

Author for correspondence.
Email: melissa.delgado@springer.com
Ukraine, Lviv

Т. М. Nykolyshyn

Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences

Email: melissa.delgado@springer.com
Ukraine, Lviv

Yu. V. Porokhovs’kyi

Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences

Email: melissa.delgado@springer.com
Ukraine, Lviv

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature