TY - JOUR
T1 - Fracture models as Gamma-limits of damage models
JF - Communications on Pure and Applied Analysis 12 (2013) 1657-1686
Y1 - 2013
A1 - Gianni Dal Maso
A1 - Flaviana Iurlano
AB - We analyze the asymptotic behavior of a variational model for damaged elastic materials. This model depends on two small parameters, which govern the width of the damaged regions and the minimum elasticity constant attained in the damaged regions. When these parameters tend to zero, we find that the corresponding functionals Gamma-converge to a functional related to fracture mechanics. The corresponding problem is brittle or cohesive, depending on the asymptotic ratio of the two parameters.
PB - American Institute of Mathematical Sciences
UR - http://hdl.handle.net/1963/4225
U1 - 3952
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -