Influence of Residual Welding Stresses on the Limit Equilibrium of a Transversely Isotropic Cylindrical Shell with Internal Crack of Any Configuration
- Authors: Kindrats’kyi B.І.1, Nykolyshyn Т.М.2, Porokhovs’kyi Y.V.2
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Affiliations:
- “L’vivs’ka Politekhnika” National University
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 243, No 1 (2019)
- Pages: 101-110
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243064
- DOI: https://doi.org/10.1007/s10958-019-04529-x
- ID: 243064
Cite item
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
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