Steady-state mode I cracks in a viscoelastic triangular lattice

We construct exact solutions for Mode I steady-state cracks in an ideally brittle viscoelastic triangular lattice model. Our analytic solutions for the infinite lattice are compared to numerical results for finite width systems. The issues we address include the crack velocity versus driving curve a...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 50; no. 3; pp. 583 - 613
Main Authors Pechenik, Leonid, Levine, Herbert, Kessler, David A.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.03.2002
Elsevier
Subjects
A. Crack branching and bifurcation
A. Crack propagation and arrest
A. Dynamic fracture
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
A. Dynamic fracture
A. Crack branching and bifurcation
A. Crack propagation and arrest
Triangular lattice
Viscoelasticity
Wiener Hopf equation
Lattice model
Brittle material
Modeling
Steady state
Dynamic load
Crack propagation
Exact solution
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Summary:We construct exact solutions for Mode I steady-state cracks in an ideally brittle viscoelastic triangular lattice model. Our analytic solutions for the infinite lattice are compared to numerical results for finite width systems. The issues we address include the crack velocity versus driving curve as well as the onset of additional bond breaking, signaling the emergence of complex spatio-temporal behavior. Somewhat surprisingly, the critical velocity for this transition becomes a decreasing function of the dissipation for sufficiently large values thereof. Lastly, we briefly discuss the possible relevance of our findings for experiments on mode I crack instabilities.
ISSN:0022-5096
DOI:10.1016/S0022-5096(01)00061-8