Steady-state cracks in viscoelastic lattice models

Journal Article · Sat May 01 04:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.59.5154· OSTI ID:338687

Kessler, D A ^[1]; Levine, H ^[2]

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1. Department of Mathematics, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States)
2. Department of Physics, University of California, San Diego, La Jolla, California 92093-0319 (United States)

We study the steady-state motion of mode III cracks propagating on a lattice exhibiting viscoelastic dynamics. The introduction of a Kelvin viscosity {eta} allows for a direct comparison between lattice results and continuum treatments. Utilizing both numerical and analytical (Wiener-Hopf) techniques, we explore this comparison as a function of the driving displacement {Delta} and the number of transverse rows {ital N}. At any {ital N}, the continuum theory misses the lattice-trapping phenomenon; this is well known, but the introduction of {eta} introduces some new twists. More importantly, for large {ital N} even at large {Delta}, the standard two-dimensional elastodynamics approach completely misses the {eta}-dependent velocity selection, as this selection disappears completely in the leading order naive continuum limit of the lattice problem. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 338687
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 59; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRACK PROPAGATION
CRACKS
FRACTURE MECHANICS
FRACTURES
LATTICE PARAMETERS
STEADY-STATE CONDITIONS
VISCOSITY