2004/01/27 by Alessandro Giacomini, Giacomini, Alessandro
Engineering · Mathematics · #35J25 #35J85 #35R35 #74R10 #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Numerical methods in engineering #Rock Mechanics and Modeling #math.AP #msc:35J25 #msc:35J85 #msc:35R35 #msc:74R10
paper · pdf · doi:10.48550/arxiv.math/0401384
35 pages
arxiv created 2004/01/27 · openalex publication_date 2004/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.