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19952023
most citedPhase-Field Model of Mode III Dynamic Fracture

676 citations · 3.2k across the 68 of their papers we have counts for

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6 papers · 1 filter

cond-mat.mtrl-sci2011★ 14 cited

Propagating mode-I fracture in amorphous materials using the continuous random network (CRN) model

Shay I Heizler, David A. Kessler, Herbert Levine

We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material,…

cond-mat.mtrl-sci2002★ 21 cited

Does the continuum theory of dynamic fracture work?

David A. Kessler, Herbert Levine

We investigate the validity of the Linear Elastic Fracture Mechanics approach to dynamic fracture. We first test the predictions in a lattice simulation, using a formula of Eshelby…

cond-mat.mtrl-sci2001★ 29 cited

Mode I fracture in a nonlinear lattice with viscoelastic forces

Shay I. Heizler, David A. Kessler, Herbert Levine

We study Mode I fracture in a viscoelastic lattice model with a nonlinear force law, with a focus on the velocity and linear stability of the steady-state propagating solution. Thi…

cond-mat.mtrl-sci2000★ 24 cited

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…

cond-mat.mtrl-sci2000★ 3 cited

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…

cond-mat.mtrl-sci2000★ 1 cited

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…