An anti-plane crack in a nonhomogeneous viscoelastic body

Rajan Alex; Lawrence Schovanec

doi:10.1016/0013-7944(96)00039-2

An anti-plane crack in a nonhomogeneous viscoelastic body

Rajan Alex, Lawrence Schovanec

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Abstract

A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic material is carried out. Laplace and Mellin transform methods are used to construct explicit expressions for the stress and displacement fields. Results show that the stress field may exhibit both logarithmic and power-law type singularities and for special cases of material inhomogeneity the asymptotic behavior at the crack tip is determined by a logarithmic singularity. The effects of time and material inhomogeneity upon the stresses and displacements are numerically illustrated.

Original language	English
Pages (from-to)	727-735
Number of pages	9
Journal	Engineering Fracture Mechanics
Volume	55
Issue number	5
DOIs	https://doi.org/10.1016/0013-7944(96)00039-2
State	Published - Nov 1996

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title = "An anti-plane crack in a nonhomogeneous viscoelastic body",

abstract = "A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic material is carried out. Laplace and Mellin transform methods are used to construct explicit expressions for the stress and displacement fields. Results show that the stress field may exhibit both logarithmic and power-law type singularities and for special cases of material inhomogeneity the asymptotic behavior at the crack tip is determined by a logarithmic singularity. The effects of time and material inhomogeneity upon the stresses and displacements are numerically illustrated.",

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AU - Alex, Rajan

AU - Schovanec, Lawrence

PY - 1996/11

Y1 - 1996/11

N2 - A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic material is carried out. Laplace and Mellin transform methods are used to construct explicit expressions for the stress and displacement fields. Results show that the stress field may exhibit both logarithmic and power-law type singularities and for special cases of material inhomogeneity the asymptotic behavior at the crack tip is determined by a logarithmic singularity. The effects of time and material inhomogeneity upon the stresses and displacements are numerically illustrated.

AB - A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic material is carried out. Laplace and Mellin transform methods are used to construct explicit expressions for the stress and displacement fields. Results show that the stress field may exhibit both logarithmic and power-law type singularities and for special cases of material inhomogeneity the asymptotic behavior at the crack tip is determined by a logarithmic singularity. The effects of time and material inhomogeneity upon the stresses and displacements are numerically illustrated.

UR - http://www.scopus.com/inward/record.url?scp=0030287139&partnerID=8YFLogxK

U2 - 10.1016/0013-7944(96)00039-2

DO - 10.1016/0013-7944(96)00039-2

M3 - Article

AN - SCOPUS:0030287139

SN - 0013-7944

VL - 55

SP - 727

EP - 735

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 5

ER -

An anti-plane crack in a nonhomogeneous viscoelastic body

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