Calculus of Variations and Geometric Measure Theory

A. Giacomini

Size effects on quasistatic growth of fractures

created on 27 Jan 2004
modified by giacomini on 05 Jan 2006


Published Paper

Inserted: 27 jan 2004
Last Updated: 5 jan 2006

Journal: SIAM J. Math. Anal.
Volume: 36
Pages: 1887-1928
Year: 2005


We perform an analysis of the size effects 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.

Keywords: variational models, quasistatic evolution, Crack propagation, energy minimization