676 citations · 3.2k across the 68 of their papers we have counts for
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Nonlinear lattice model of viscoelastic Mode III fracture
David A. Kessler, Herbert Levine
We study the effect of general nonlinear force laws in viscoelastic lattice models of fracture, focusing on the existence and stability of steady-state Mode III cracks. We show tha…
Self-organization in systems of self-propelled particles
Herbert Levine, Wouter-Jan Rappel, Inon Cohen
We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized…
Steady-state mode III cracks in a viscoelastic lattice model
Leonid Pechenik, Herbert Levine, David A. Kessler
We extend the Slepyan solution of the problem of a steady-state crack in an infinite ideally brittle lattice model to include dissipation in the form of Kelvin viscosity. As a demo…
Steady-state mode I cracks in a viscoelastic triangular lattice
Leonid Pechenik, Herbert Levine, David A. Kessler
We continue our study of the exact solutions for steady-state cracks in ideally brittle viscoelastic lattice models by focusing on mode I in a triangular system. The issues we addr…