The quasi-static propagation of a plane strain crack in a power-law inhomogeneous linearly viscoelastic body
type: Item
instance of: scholarly article
title: The quasi-static propagation of a plane strain crack in a power-law inhomogeneous linearly viscoelastic body
zbMATH Open document ID: 0612.73104
DOI: 10.1007/BF01182122
author: Lawrence Schovanec
author: Jay R. Walton
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: An analysis is presented of the steady-state propagation of a semi- infinite mode I crack for an infinite inhomogeneous, linearly viscoelastic body. The shear modulus is assumed to have a power-law dependence on depth from the plane of the crack. Moreover, both a general and a power-law behavior in time for the shear modulus are considered. A simple closed form expression for the normal component of stress in front of the propagating crack is derived which exhibits explicitly the form of the stress singularity and its material dependency. The crack profile is examined and its dependence on the spatial and time behavior of the shear modulus is determined.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3991051
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: steady-state propagation
zbMATH Keywords: semi-infinite mode I crack
zbMATH Keywords: infinite inhomogeneous, linearly viscoelastic body
zbMATH Keywords: closed form expression
zbMATH Keywords: normal component of stress
zbMATH Keywords: stress singularity
zbMATH Keywords: material dependency
zbMATH Keywords: crack profile
zbMATH Keywords: dependence on the spatial and time behavior
zbMATH Keywords: shear modulus
MaRDI profile type: Publication
cites work: The Sliding With Coulomb Friction of a Rigid Indentor Over a Power-Law Inhomogeneous Linearly Viscoelastic Half-Plane
cites work: On the steady-state propagation of an anti-plane shear crack in an infinite general linearly viscoelastic body
cites work: THE SLIDING OF A RIGID INDENTOR OVER A POWER - LAW VISCOELASTIC HALF-SPACE
cites work: Q3868933
cites work: The Propagation of a Crack by a Rigid Wedge in an Infinite Power Law Viscoelastic Body
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description: scientific article; zbMATH DE number 3991051