M. Negri, M. Paolini:
Numerical minimization of the Mumford-Shah functional
Calcolo Vol. 38, p. 67-84, 2001
G. Dal Maso, M. Negri, D. Percivale:
Linearized elasticity as $\Gamma\mbox{-limit}$ of finite elasticity
Set-Valued Anal. Vol. 10, p. 165-183, 2002
M. Morini, M. Negri:
Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies
Math. Models Methods Appl. Sci. Vol. 13, p. 785-805, 2003
M. Negri:
A finite element approximation of the Griffith's model in fracture mechanics
Num. Math. Vol. 95, p. 653-687, 2003
M. Negri:
A discontinuous finite element approach for the approximation of free discontinuity problems
Adv. Math. Sci. Appl. Vol. 15, p. 283-306, 2005
M. Negri:
A non-local approximation of free discontinuity problems in SBV and SBD
Calc. Var. Partial Differential Equations. Vol. 25, p. 33-62, 2006
C. Comi, S. Mariani, M. Negri, U. Perego:
A 1D variational formulation for quasi-brittle fracture
Journal of Mechanics of Materials and Structures Vol. 1, N. 8, p. 1323-1343, 2006
L. Lussardi, M. Negri:
Convergence of non-local finite element energies for fracture mechanics
Numer. Funct. Anal. Optim. Vol. 28, p. 83-109, 2007
M. Negri:
Convergence analysis for a smeared crack approach in brittle fracture
Interfaces Free Bound. Vol. 9, p. 307-330, 2007
M. Negri, C. Ortner:
Quasi-static crack propagation by Griffith's criterion
Math. Models Methods Appl. Sci. Vol. 18, N. 11, p. 1895-1925, 2008
M. Negri, R. Rosso:
On the stability of liquid droplets with line tension
Continuum Mech. Thermodyn. Vol. 21, p. 173-194, 2009
F. Fraternali, M. Negri, M. Ortiz:
On the convergence of 3D free discontinuity models in variational fracture mechanics
Int. J. Fracture Vol. 166, p. 3-11, 2010
M. Negri:
A comparative analysis on variational models for quasi-static brittle crack propagation
Adv. Calc. Var. Vol. 3, p. 149-212, 2010
M. Negri:
From rate-dependent to rate-independent brittle crack propagation
J. Elast. Vol. 98, p. 159-178 , 2010
A. Lew, M. Negri:
Optimal convergence of a discontinuous-Galerkin-based immersed boundary method
Math. Model. Numer. Anal. Vol. 45, p. 651-674, 2011
M. Negri:
Energy release rate along a kinked path
Math. Meth. Appl. Sci. Vol. 34, p. 384-396, 2011
A. Khludnev, M. Negri:
Crack on the boundary of a thin elastic inclusion inside an elastic body
ZAMM Z. Angew. Math. Mech. Vol. 92, p. 341-354 , 2012
A. Khludnev, M. Negri:
Optimal rigid inclusion shapes in elastic bodies with cracks.
Z. Angew. Math. Phys. (online first) 2012
M. Negri:
Crack propagation by a Regularization of the Principle of Local Symmetry
Discrete Contin. Dyn. Syst. Ser. S Vol. 6, p. 147-165, 2013
M. Negri:
From phase-field to sharp crack: convergence of quasi-static evolutions in a special setting
Appl. Math. Lett. Vol. 26, p. 219-224, 2013
M. Negri, C. Zanini:
From finite to linear elastic fracture mechanics by scaling
Calc. Var. Partial Differential Equations Vol. 50, N. 3-4, p. 525-548, 2014
M. Negri:
Quasi-static rate-independent evolutions: characterization, existence, approximation and application to fracture mechanics
ESAIM Control Optim. Calc. Var. Vol. 20, N. 4, p. 983-1008, 2014
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
M. Negri:
Quasi-static evolutions in brittle fracture generated by gradient flows: sharp crack and phase-field approaches
Lecture Notes in Applied and Computational Mechanics Vol. 81, p. 197-216, 2016
M. Negri, E. Vitali:
Approximation and characterization of quasi-static $H^1$-evolutions for a cohesive interface with different loading-unloading regimes
(Preprint) 2016
M. Negri:
An $L^2$ gradient flow and its quasi-static limit in phase-field fracture by alternate minimization
(Preprint) 2016
M. Negri, R. Scala:
A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface
(Preprint) 2016
M. Negri:
A simple derivation and classical representations of energy variations for curved cracks
Appl. Math. Optim. Vol. 75, p. 99-116, 2017
D. Knees, M. Negri:
Convergence of alternate minimization schemes for phase field fracture and damage
Mathematical Models and Methods in Applied Sciences (M3AS) Vol. 27, N. 9, p. 1743-1794, 2017
M. Negri, R. Scala:
Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model
(Preprint) 2020