Steady-state cracks in viscoelastic lattice models. II

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22 Scopus citations


We present the analytic solution of the mode III steady-state crack in a square lattice with piecewise linear springs and Kelvin viscosity. We show how the results simplify in the limit of large width. We relate our results to a model where the continuum limit is taken only along the crack direction. We present results for small velocity, and for large viscosity, and discuss the structure of the critical bifurcation for small velocity. We compute the size of the process zone wherein standard continuum elasticity theory breaks down.

Original languageEnglish
Pages (from-to)2348-2360
Number of pages13
JournalPhysical Review E
Issue number3
StatePublished - 2000
Externally publishedYes


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