Arrested cracks in nonlinear lattice models of brittle fracture

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages 7569-7571

  Kessler, David A ^a   Levine, Herbert ^b  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

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ARTICLE;

EID: 0001559506     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.7569     Document Type: Article

References (18)

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14. In principle, one might want to take f for mode III to be explicitly odd with respect to u. We have opted for defining the forces in Eq. (1) in such a way as to guarantee that all large strains are positive and hence the nonlinear behavior of f for large negative argument is irrelevant.
15. We linearize the equation around the arrested crack solution and determine the eigenvalues (Formula presented) directly from the stability matrix of linear size (Formula presented) (assuming that the perturbation maintains the odd symmetry (Formula presented)
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