Size effects on quasistatic growth of fractures

Details Size effects on quasistatic growth of fractures Size effects on quasistatic growth of fractures

2004-01-27

arxiv.org/abs/math/0401384v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

We perform an analysis of the size effect for quasistatic growth of fractures in linearly isotropic elastic bodies under antiplanar shear. In the framework of the variational model proposed by G.A. Francfort and J.-J. Marigo in [14], 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 fracture propagates following the Griffith's functional.

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