F. Ebobisse, R. Toader:
A note on the integral representation of functionals in the space SBD$(\Omega)$
Rend. Mat. Appl. (7) (Accepted Paper) 2001
G. Dal Maso, R. Toader:
A model for the quasi-static growth of brittle fractures based on local minimization
Math. Models Methods Appl. Sci. Vol. 12, p. 1773-1800, 2002
G. Dal Maso, R. Toader:
A model for the quasi-static growth of brittle fractures: existence and approximation results
Arch. Rational Mech. Anal. Vol. 162, p. 101-135, 2002
G. Dal Maso, G. A. Francfort, R. Toader:
Quasi-static evolution in brittle fracture: the case of bounded solutions
Calculus of Variations. Topics from the Mathematical Heritage of Ennio De Giorgi. Quaderni di Matematica, Dipartimento di Matematica della Seconda Università di Napoli, Vol. 14 p. 247-266, 2004
G. Dal Maso, G. A. Francfort, R. Toader:
Quasistatic crack growth in nonlinear elasticity
Arch. Ration. Mech. Anal. Vol. 176, p. 165-225, 2005
G. Dal Maso, R. Toader:
On a notion of unilateral slope for the Mumford-Shah functional
NoDEA Nonlinear Differential Equations Appl. Vol. 13, p. 713-734, 2007
G. Dal Maso, R. Toader:
Decomposition results for functions with bounded variation
Boll. Un. Mat. Ital. (9) Vol. 1, p. 497-505, 2008
G. Dal Maso, R. Toader:
Quasistatic crack growth in elasto-plastic materials: the two-dimensional case
Arch. Ration. Mech. Anal. (Accepted Paper) 2009
R. Toader, C. Zanini:
An artificial viscosity approach to quasistatic crack growth
Boll. Unione Mat. Ital. (9) Vol. 2, N. 1, p. 1-35, 2009
G. Lazzaroni, R. Toader:
Energy release rate and stress intensity factor in antiplane elasticity
J. Math. Pures Appl. Vol. 95, p. 565-584, 2011
G. Lazzaroni, R. Toader:
A model for crack propagation based on viscous approximation
Math. Models Methods Appl. Sci. Vol. 21, p. 2019-2047, 2011
F. Cagnetti, R. Toader:
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
ESAIM Control Optim. Calc. Var. Vol. 17, p. 1--27, 2011
G. Lazzaroni, R. Toader:
Some remarks on the viscous approximation of crack growth
Discrete Contin. Dyn. Syst. Ser. S (DCDS-S) Vol. 6, N. 1, p. 131-146, 2013
S. Racca, R. Toader:
A variational model for the quasi-static growth of fractional dimensional brittle fractures
(Preprint) 2013
S. Almi, G. Dal Maso, R. Toader:
Quasi-static crack growth in hydraulic fracture
Nonlinear Analysis Vol. 109, p. 301-318, 2014
G. Dal Maso, G. Orlando, R. Toader:
Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length
NoDEA Nonlinear Differential Equations Appl. Vol. 22, N. 3, p. 449--476, 2015
M. Negri, R. Toader:
Scaling in fracture mechanics by Bazants law: from finite to linearized elasticity.
Math. Models Methods Appl. Sci. Vol. 25, N. 7, p. 1389-1420, 2015
G. Dal Maso, G. Orlando, R. Toader:
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case
Calc. Var. Partial Differential Equations Vol. 55:45, 2016
G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics
Journal of Physics: Conference Series Vol. 727, p. 012009, 2016
G. Dal Maso, C. J. Larsen, R. Toader:
Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition
J. Mech. Phys. Solids Vol. 95, p. 697-707, 2016
S. Almi, G. Dal Maso, R. Toader:
A lower semicontinuity result for a free discontinuity functional with a boundary term
J. Math. Pures Appl. Vol. 108, p. 952-970, 2017
G. Dal Maso, G. Orlando, R. Toader:
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation
Adv. Cal. Var. Vol. 10, p. 183-207, 2017
G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
Rate-independent damage in thermo-viscoelastic materials with inertia
J. Dynam. Differential Equations Vol. 30, p. 1311-1364, 2018
G. Dal Maso, R. Toader:
On the Cauchy problem for the wave equation on time-dependent domains
J. Differential Equations Vol. 266, p. 3209-3246, 2019
G. Dal Maso, C. J. Larsen, R. Toader:
Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition
J. Math. Pures Appl. (9) Vol. 127, p. 160-191, 2019
G. Dal Maso, R. Rossi, G. Savaré, R. Toader:
Visco-energetic solutions for a model of crack growth in brittle materials
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (Accepted Paper) 2021
G. Dal Maso, R. Toader:
A new space of generalised functions with bounded variation motivated by fracture mechanics
NoDEA Nonlinear Differential Equations Appl. Vol. 29, N. Paper No. 63., 2022
G. Dal Maso, R. Toader:
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials
Nonlinear Anal. Vol. 214, N. Paper No. 112539, 2022
G. Dal Maso, R. Toader:
Homogenisation problems for free discontinuity functionals with bounded cohesive surface term
(Submitted Paper) 2023
G. Dal Maso, R. Toader:
Gamma-convergence and integral representation for a class of free discontinuity functionals
(Submitted Paper) 2023