TY - JOUR
T1 - A Viscosity-driven crack evolution
JF - Advances in Calculus of Variations 5 (2012) 433-483
Y1 - 2012
A1 - Simone Racca
AB - We present a model of crack growth in brittle materials which couples dissipative effects on the crack tip and viscous effects. We consider the 2 -dimensional antiplane case with pre-assigned crack path, and firstly prove an existence result for a rate-dependent evolution problem by means of time-discretization. The next goal is to describe the rate-independent evolution as limit of the rate-dependent ones when the dissipative and viscous effects vanish. The rate-independent evolution satisfies a Griffithâ€™s criterion for the crack growth, but, in general, it does not fulfil a global minimality condition; its fracture set may exhibit jump discontinuities with respect to time. Under suitable regularity assumptions, the quasi-static crack growth is described by solving a finite-dimensional problem.
PB - SISSA
UR - http://hdl.handle.net/1963/5130
U1 - 4944
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -