Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 36, Issue 6, Pages 1887-1928Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036141004439362
Keywords
variational models; energy minimization; free discontinuity problems; crack propagation; quasi-static evolution; brittle fracture
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We perform an analysis of the size effect for quasi-static growth of cracks in isotropic linearly elastic bodies under antiplanar shear. In the framework of the variational model proposed by Francfort and Marigo in [J. Mech. Phys. Solids, 46 (1998), pp. 1319-1342], we prove that if the size of the body tends to infinity, and even if the surface energy is of cohesive form, under suitable boundary displacements the crack propagates following the Griffith's functional.
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