TY - JOUR

T1 - Lattice model for viscoelastic fracture

AU - Slepyan, L. I.

AU - Ayzenberg-Stepanenko, M. V.

AU - Dempsey, J. P.

N1 - Funding Information:
This research was supported by the Ministry of Science, Israel (for the first two authors, Grant No. 9673-1-96), and by U.S. Office of Naval Research (for the third author, Grant No. N00014-96-1-1210).

PY - 1999

Y1 - 1999

N2 - A plane, periodic, square-cell lattice is considered, consisting of point particles connected by mass-less viscoelastic bonds. Homogeneous and inhomogeneous problems for steady-state semi-infinite crack propagation in an unbounded lattice and lattice strip are studied. Expressions for the local-to-global energy-release-rate ratios, stresses and strains of the breaking bonds as well as the crack opening displacement are derived. Comparative results are obtained for homogeneous viscoelastic materials, elastic lattices and homogeneous elastic materials. The influences of viscosity, the discrete structure, cell size, strip width and crack speed on the wave/viscous resistances to crack propagation are revealed. Some asymptotic results related to an important asymptotic case of large viscosity (on a scale relative to the lattice cell) are shown. Along with dynamic crack propagation, a theory for a slow crack in a viscoelastic lattice is derived.

AB - A plane, periodic, square-cell lattice is considered, consisting of point particles connected by mass-less viscoelastic bonds. Homogeneous and inhomogeneous problems for steady-state semi-infinite crack propagation in an unbounded lattice and lattice strip are studied. Expressions for the local-to-global energy-release-rate ratios, stresses and strains of the breaking bonds as well as the crack opening displacement are derived. Comparative results are obtained for homogeneous viscoelastic materials, elastic lattices and homogeneous elastic materials. The influences of viscosity, the discrete structure, cell size, strip width and crack speed on the wave/viscous resistances to crack propagation are revealed. Some asymptotic results related to an important asymptotic case of large viscosity (on a scale relative to the lattice cell) are shown. Along with dynamic crack propagation, a theory for a slow crack in a viscoelastic lattice is derived.

UR - http://www.scopus.com/inward/record.url?scp=0033351690&partnerID=8YFLogxK

U2 - 10.1023/A:1009846932233

DO - 10.1023/A:1009846932233

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AN - SCOPUS:0033351690

SN - 1385-2000

VL - 3

SP - 159

EP - 203

JO - Mechanics of Time-Dependent Materials

JF - Mechanics of Time-Dependent Materials

IS - 2

ER -