Reissner-Sagoci problem for a non-homogeneous half-space with surface constraint
type: Item
instance of: scholarly article
title: Reissner-Sagoci problem for a non-homogeneous half-space with surface constraint
zbMATH Open document ID: 0798.73013
DOI: 10.1007/BF00127581
published in: Journal of Engineering Mathematics
publication date: 1994-06-15T00:00:00Z
review text: This paper deals with the problem of twisting of a non-homogeneous, isotropic, half-space by rotating a circular part of its boundary surface \((0\leq r\leq a, z=0)\) through a given angle. A ring \((a<r<b, z=0)\) outside this circle is stress-free and the remaining part \((r>b, z=0)\) is rapidly clamped. The shear modulus \(\mu\) is assumed to vary with the cylindrical coordinates \(r\), \(z\) by the power law \((\mu=\mu_{\alpha,\beta}r^ \alpha z^ \beta)\). Such a dependence is of practical interest in the context of soil mechanics. The problem leads to a Fredholm integral equation of the second kind which is solved numerically, giving an evaluation of the influence of non-homogeneity on the torque at the surface and the stress intensity factor.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74B10
zbMATH DE Number: 590214
zbMATH Keywords: twisting
zbMATH Keywords: shear modulus
zbMATH Keywords: cylindrical coordinates
zbMATH Keywords: power law
zbMATH Keywords: Fredholm integral equation of the second kind
zbMATH Keywords: stress intensity factor
author: Hassan A. Z. Hassan
author: Fayez E. K. Rofaeel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 590214