An approximate statical solution of the elastoplastic interface for the problem of Galin with a cohesive-frictional material
type: Item
instance of: scholarly article
title: An approximate statical solution of the elastoplastic interface for the problem of Galin with a cohesive-frictional material
zbMATH Open document ID: 0602.73028
DOI: 10.1016/0020-7683(86)90054-5
author: E. Detournay
published in: International Journal of Solids and Structures
publication date: 1986-01-01T00:00:00Z
review text: 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 \textit{L. A. Galin} [Prikl. Mat. Mekh. 10, 367-386 (1946)] which applies for the case of a frictionless Tresca material, it is assumed that the material is characterized by a cohesive-frictional yield strength. The solution of the elastoplastic 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.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3972312
zbMATH Keywords: Mohr-Coulomb yield strength
zbMATH Keywords: passive and active limit equilibrium
zbMATH Keywords: functional equation for mapping function
zbMATH Keywords: approximate statically admissible solution
zbMATH Keywords: elastoplastic interface
zbMATH Keywords: plane strain problem
zbMATH Keywords: pressurized circular hole
zbMATH Keywords: non-hydrostatic stress at infinity
zbMATH Keywords: Problem of Galin
zbMATH Keywords: cohesive-frictional yield strength
zbMATH Keywords: truncated series expansion
MaRDI profile type: Publication
full work available at URL: 0020-7683(86)90054-5
OpenAlex ID: W1975443516
description: scientific article; zbMATH DE number 3972312