@article {2009,
	title = {A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions},
	journal = {Boll. Unione Mat. Ital. (9) 2 (2009) 371-390},
	number = {SISSA;41/2008/M},
	year = {2009},
	url = {http://hdl.handle.net/1963/2675},
	author = {Gianni Dal Maso and Alessandro Giacomini and Marcello Ponsiglione}
}
@article {2008,
	title = {A vanishing viscosity approach to quasistatic evolution in plasticity with softening},
	journal = {Arch. Ration. Mech. Anal. 189 (2008) 469-544},
	number = {SISSA;38/2006/M},
	year = {2008},
	abstract = {We deal with quasistatic evolution problems in plasticity with softening, in the framework of small strain associative elastoplasticity. The presence of a nonconvex term due to the softening phenomenon requires a nontrivial extension of the variational framework for rate-independent problems to the case of a nonconvex energy functional. We argue that, in this case, the use of global minimizers in the corresponding incremental problems is not justified from the mechanical point of view. Thus, we analize a different selection criterion for the solutions of the quasistatic evolution problem, based on a viscous approximation. This leads to a generalized formulation in terms of Young measures, developed in the first part of the paper. In the second part we apply our approach to some concrete examples.},
	doi = {10.1007/s00205-008-0117-5},
	url = {http://hdl.handle.net/1963/1844},
	author = {Gianni Dal Maso and Antonio DeSimone and Maria Giovanna Mora and Massimiliano Morini}
}
@article {2006,
	title = {Variational problems in fracture mechanics},
	number = {SISSA;10/2006/M},
	year = {2006},
	abstract = {We present some recent existence results for the variational model of crack growth in brittle materials proposed by Francfort and Marigo in 1998. These results, obtained in collaboration with Francfort and Toader, cover the case of arbitrary space dimension with a general quasiconvex bulk energy and with prescribed boundary deformations and applied loads.},
	url = {http://hdl.handle.net/1963/1816},
	author = {Gianni Dal Maso}
}
@article {2000,
	title = {Value Functions for Bolza Problems with Discontinuous Lagrangians and Hamilton-Jacobi inequalities},
	journal = {ESAIM Control Optim. Calc. Var.,  5 (2000), n. 5, p. 369-393.},
	number = {SISSA;56/00/M},
	year = {2000},
	publisher = {SISSA Library},
	doi = {10.1051/cocv:2000114},
	url = {http://hdl.handle.net/1963/1514},
	author = {Gianni Dal Maso and Helene Frankowska}
}
@article {1999,
	title = {Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case},
	journal = {Arch. Ration. Mech. Anal.  146  (1999),  no. 1, 23--58},
	number = {SISSA;160/97/M},
	year = {1999},
	publisher = {Springer},
	abstract = {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.},
	doi = {10.1007/s002050050135},
	url = {http://hdl.handle.net/1963/3371},
	author = {Andrea Braides and Gianni Dal Maso and Adriana Garroni}
}
@article {1992,
	title = {A variational method in image segmentation: existence and approximation result},
	journal = {Acta Math. 168 (1992), no.1-2, p. 89-151},
	number = {SISSA;48/89/M},
	year = {1992},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/808},
	author = {Gianni Dal Maso and Jean-Michel Morel and Sergio Solimini}
}
@article {1988,
	title = {Variational inequalities for the biharmonic operator with variable obstacles.},
	journal = {Ann. Mat. Pura Appl. (4)  153  (1988), 203-227 (1989)},
	number = {SISSA;50/87/M},
	year = {1988},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/531},
	author = {Gianni Dal Maso and Gabriella Paderni}
}
