TY - JOUR
T1 - Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
JF - Calc. Var. Partial Differential Equations 31 (2008) 137-145
Y1 - 2008
A1 - Gianni Dal Maso
A1 - Adriana Garroni
AB - In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local minimizer never exceeds a constant, determined only by the data of the problem.
UR - http://hdl.handle.net/1963/1723
U1 - 2428
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Dieletric breakdown: optimal bounds
JF - Proc. of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 457 (2001): p. 2317-2335, OCT. 8, 2001
Y1 - 2001
A1 - Adriana Garroni
A1 - Vincenzo Nesi
A1 - Marcello Ponsiglione
PB - SISSA Library
UR - http://hdl.handle.net/1963/1569
U1 - 2549
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case
JF - Arch. Ration. Mech. Anal. 146 (1999), no. 1, 23--58
Y1 - 1999
A1 - Andrea Braides
A1 - Gianni Dal Maso
A1 - Adriana Garroni
AB - Starting from experimental evidence, the authors justify a variational model for softening phenomena in fracture of one-dimensional bars where the energy is given by the contribution and interaction of two terms: a typical bulk energy term depending on elastic strain and a discrete part that depends upon the jump discontinuities that occur in fracture. A more formal, rigorous derivation of the model is presented by examining the $\\\\Gamma$-convergence of discrete energy functionals associated to an array of masses and springs. Close attention is paid to the softening and fracture regimes. \\nOnce the continuous model is derived, it is fully analyzed without losing sight of its discrete counterpart. In particular, the associated boundary value problem is studied and a detailed analysis of the stationary points under the presence of a dead load is performed. A final, interesting section on the scale effect on the model is included.
PB - Springer
UR - http://hdl.handle.net/1963/3371
U1 - 959
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Special functions with bounded variation and with weakly differentiable traces on the jump set
JF - NoDEA Nonlinear Differential Equations Appl. 5 (1998), no. 2, 219--243
Y1 - 1998
A1 - Luigi Ambrosio
A1 - Andrea Braides
A1 - Adriana Garroni
PB - SISSA Library
UR - http://hdl.handle.net/1963/1025
U1 - 2831
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - THES
T1 - Asymptotic Behaviour of Dirichlet Problems in Perforated Domains
Y1 - 1994
A1 - Adriana Garroni
KW - Dirichlet problems
PB - SISSA
UR - http://hdl.handle.net/1963/5714
U1 - 5566
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -