Variational models for cavitation and fracture in nonlinear elasticity
Carlos Mora-Corral,
BCAM - Basque Center for Applied Mathematics
Jueves 21 de mayo de 2009
In the context of Materials Science, cavitation is the phenomenom of sudden
formation of voids in the material, while fracture is the formation of cracks. We review
previous models for cavitation and for fracture in nonlinear elasticity, and then we
present our unified model for both. Our analysis for the existence theory has connections
with abstract results on the weak continuity of the Jacobian determinant in Sobolev
spaces, and on the regularity of the inverse of invertible BV maps. This is a joint work
with Duvan Heano (University of Oxford).