The elastic torsion problem for a nonhomogeneous and transversely isotropic half-space
type: Item
instance of: scholarly article
title: The elastic torsion problem for a nonhomogeneous and transversely isotropic half-space
zbMATH Open document ID: 0611.73012
DOI: 10.1007/BF01182129
author: M. E. Erguven
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: The statical Reissner-Sagoci problem for nonhomogeneous transversely isotropic elastic half-space is investigated. The modulus of rigidity is assumed as \(C_{ii}(r,z)=\mu_{ii}r^{\beta}f(z)\), \(i=4,6\) and \(\beta\geq 0\), where \(\mu_{ii}\) are constants. The expressions for stresses, displacement and torque are given. The analysis is based on the assumption that the tangential displacement is prescribed within the area \(z=0\), \(r\leq 1\) and shearing stress is zero in the outside area \(r>1\), \(z=0\). The integral equation which is obtained is solved in the case when \(f(z)=\cosh^ 2kz\) and \(\beta\geq 0\), where k is a constant.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 3988787
zbMATH Keywords: Fredholm equation of second kind
zbMATH Keywords: approximate kernel
zbMATH Keywords: exact solution of equation
zbMATH Keywords: statical Reissner-Sagoci problem
zbMATH Keywords: transversely isotropic elastic half-space
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01182129
OpenAlex ID: W70850721
description: scientific article; zbMATH DE number 3988787