TY - RPRT
T1 - Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics
Y1 - 2014
A1 - Giuliano Lazzaroni
A1 - Riccarda Rossi
A1 - Marita Thomas
A1 - Rodica Toader
AB - This note deals with the analysis of a model for partial damage, where the rateindependent, unidirectional flow rule for the damage variable is coupled with the rate-dependent heat equation, and with the momentum balance featuring inertia and viscosity according to Kelvin-Voigt rheology. The results presented here combine the approach from Roubicek [1] with the methods from Lazzaroni/Rossi/Thomas/Toader [2] and extend the analysis to the setting of inhomogeneous time-dependent Dirichlet data.
PB - SISSA
UR - http://urania.sissa.it/xmlui/handle/1963/7463
U1 - 7566
ER -
TY - JOUR
T1 - Some remarks on the viscous approximation of crack growth
JF - Discrete Contin. Dyn. Syst. Ser. S
Y1 - 2013
A1 - Giuliano Lazzaroni
A1 - Rodica Toader
KW - Variational models
AB - We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in [16] by a vanishing viscosity approach, with free (but regular enough) crack path. We underline in particular the motivations for the choice of the class of admissible cracks and of the dissipation potential. Moreover, we extend the result to a model with applied forces depending on time.

PB - SISSA
VL - 6
UR - http://hdl.handle.net/1963/4206
U1 - 3945
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -