An approximate statical solution of the elastoplastic interface for the problem of Galin with a cohesive-frictional material

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Abstract

An approximate statically admissible solution of the elastoplastic interface is described for the plane strain problem of a pressurized circular hole in a plane subject to a non-hydrostatic stress at infinity (Problem of Galin). In contrast to the solution of Galin (Prikl. Mat. Mekh. 10, 365-386 (1946)) which applies for the case of a frictionless Tresca material, it is assumed that the material is characterized by a cohesivc-frictional yield strength. The solution of the elasloplastic interface is obtained in the form of a truncated series expansion, for cases where the material has yielded all around the hole. The paper discusses the limiting conditions for which the solution is applicable, and the validity of the solution in regard to an elastoplastic problem.

Original languageEnglish (US)
Pages (from-to)1435-1454
Number of pages20
JournalInternational Journal of Solids and Structures
Volume22
Issue number12
DOIs
StatePublished - 1986

Bibliographical note

Funding Information:
Acknowledgements-This paper reports partial results of a research sponsored by the National Science Foundation, which was performed at the Department of Civil and Mineral Engineering of the University of Minnesota during the course of a Ph.D. program. The author is grateful to Professor C. Fairhurst, thesis advisor, for many valuable discussions and support.

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