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Persson BN, Brener EA. Crack propagation in viscoelastic solids. Phys Rev E Stat Nonlin Soft Matter Phys. 2005;71(3):036123doi: 10.1103/PhysRevE.71.036123.
Persson, B. N., & Brener, E. A. (2005). Crack propagation in viscoelastic solids. Physical review. E, Statistical, nonlinear, and soft matter physics, 71(3), 036123. https://doi.org/10.1103/PhysRevE.71.036123
Persson, B N J, and Brener, E A. "Crack propagation in viscoelastic solids." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 71,3 (2005): 036123. doi: https://doi.org/10.1103/PhysRevE.71.036123
Persson BN, Brener EA. Crack propagation in viscoelastic solids. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3):036123. doi: 10.1103/PhysRevE.71.036123. Epub 2005 Mar 21. PMID: 15903509.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3):036123. doi: 10.1103/PhysRevE.71.036123. Epub 2005 Mar 21.

Crack propagation in viscoelastic solids.

Physical review. E, Statistical, nonlinear, and soft matter physics

B N J Persson, E A Brener

Affiliations

  1. IFF, FZ-Jülich, 52425 Jülich, Germany.

PMID: 15903509 DOI: 10.1103/PhysRevE.71.036123

Abstract

We study crack propagation in a viscoelastic solid. Using simple arguments, we derive equations for the velocity dependence of the crack-tip radius, a (v) , and for the energy per unit area to propagate the crack, G (v) . For a viscoelastic modulus E (omega) which increases as omega(1-s) (0< s< 1) in the transition region between the rubbery region and the glassy region, we find that a (v) approximately G (v) approximately v(alpha) with alpha= (1-s) / (2-s) . The theory is in good agreement with experiment.

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