Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body
type: Item
instance of: scholarly article
title: Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body
zbMATH Open document ID: 0867.73062
DOI: 10.1007/BF01300943
author: J. Michael Herrmann
author: Lawrence Schovanec
published in: Acta Mechanica
publication date: 1997-08-04T00:00:00Z
review text: The authors study the problem of a propagating semi-infinite mode III crack in an infinite inhomogeneous viscoelastic body. Expressions for the stress and displacement are derived from the solution to the corresponding Riemann-Hilbert problem, and a closed-form expression is derived for the energy release rate. Numerical results are presented for standard linear solid viscoelastic material. The paper extends previous quasi-static results of the same authors to the fully dynamic case.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 880718
zbMATH Keywords: stress
zbMATH Keywords: displacement
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: energy release rate
zbMATH Keywords: standard linear solid viscoelastic material
reviewed by: Søren Christiansen
MaRDI profile type: Publication
cites work: Antiplane crack problems for an inhomogeneous elastic material
cites work: On the theory of elasticity of a nonhomogeneous medium
cites work: A Griffith crack problem for a nonhomogeneous medium
cites work: A Griffith crack problem for an inhomogeneous elastic material
cites work: On some crack problems for inhomogeneous elastic materials
cites work: Interface crack in a nonhomogeneous elastic medium
cites work: The quasi-static propagation of a plane strain crack in a power-law inhomogeneous linearly viscoelastic body
cites work: Quasi-static mode III fracture in a nonhomogeneous viscoelastic body
cites work: Erratum to: Quasi-static mode III fracture in a nonhomogeneous viscoelastic body
cites work: The Dynamic Energy Release Rate for a Steadily Propagating Antiplane Shear Crack in a Linearly Viscoelastic Body
cites work: On the steady-state propagation of an anti-plane shear crack in an infinite general linearly viscoelastic body
cites work: On the energy release rate for dynamic transient anti-plane shear crack propagation in a general linear viscoelastic body
cites work: Q3331506
cites work: Q4003877
Recommended article: Quasi-static mode III fracture in a nonhomogeneous viscoelastic body
Recommended article: Dynamic mode III fracture in viscoelastic media
Recommended article: Two-dimensional dynamic and three-dimensional fracture in viscoelastic materials
Recommended article: Erratum to: Quasi-static mode III fracture in a nonhomogeneous viscoelastic body
Recommended article: Dynamic steady-state crack propagation in a transversely isotropic viscoelastic body
Recommended article: A non-local visco-elastic damage model and dynamic fracturing
Recommended article: Q4843607
Recommended article: Fracture of viscoelastic solids modeled with a modified phase field method
Recommended article: Steady-state mode I cracks in a viscoelastic triangular lattice
Recommended article: Analytical solution for mode III dynamic rupture of standard linear viscoelastic solid with nonlinear damping
description: scientific article; zbMATH DE number 880718