Alessandro Giacomini Publications



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25
On periodic homogenization in perfect elasto-plasticity
G. Francfort, A. Giacomini
Preprint Università di Brescia, 2011.

24.
Existence of strong solutions for quasi-static evolution in brittle fracture
J.-F. Babadjian, A. Giacomini
Preprint Università di Brescia 2011, submitted

23.
On the Fleck and Willis homogenization procedure in strain gradient plasticity
G. Francfort, A. Giacomini, A. Musesti
to appear on DCDS-S

22.
Small strain heterogeneous elasto-plasticity revisited
G. Francfort, A. Giacomini
to appear on Comm. Pure Appl. Math.

21.
On the energetic formulation of the Gurtin and Anand model in strain gradient plasticity
A. Giacomini
to appear on DCDS-B

20. 
Two-scale homogenization for a model in strain gradient plasticity
A. Giacomini, A. Musesti
to appear on ESAIM Control Optim. Calc. Var.

19. 
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
D. Bucur, A. Giacomini
Arch. Ration. Mech. Anal.198 (2010), 927-961.

18.
Continuous limits of discrete perimeters
A. Chambolle, A. Giacomini and L. Lussardi
ESAIM Math. Model. Numer. Anal. 44 (2010), 207-230.

17.
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
G. Dal Maso, A. Giacomini, M. Ponsiglione
Boll. Un. Mat. Ital. (9), 2 (2009), 371--390.

16.
Quasistatic evolution for a model in strain gradient plasticity
A. Giacomini, L. Lussardi
SIAM J. Math. Anal.40 (2008), no. 3, 1201-1245.

15.
Influence of material parameters and crystallography on the size effects describable by means of strain gradient plasticity
L. Bardella, A. Giacomini
J. Mech. Phys. Solids56 (2008), no. 9, 2906--2934.

14.
Whitney property in two dimensional Sobolev spaces
D. Bucur, A. Giacomini and P. Trebeschi
Proc. Amer. Math. Soc. 136 (2008), no. 7, 2535--2545.

13.
Non interpenetration of matter for SBV-deformations of hyperelastic brittle materials
A. Giacomini, M. Ponsiglione
Proc. Roy. Soc. Edinburgh Sect A. 138A (2008), 1019-1041.

12.
Piecewise rigidity
A. Chambolle, A. Giacomini and M. Ponsiglione
J. Funct. Anal. 244 (2007), 134-153.

11.
A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems
A. Giacomini, P. Trebeschi
J. Differential Equations 237 (2007) 27--60

10.
Crack initiation in brittle materials
A. Chambolle, A. Giacomini and M. Ponsiglione
Arch. Ration. Mech. Anal. 188 (2008), 309-349.

  9. A Γ-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications
A. Giacomini, M. Ponsiglione
Arch. Ration. Mech. Anal.180 (2006), 399--447

  8.
A discontinuous finite element approximation of quasistatic crack growth in finite elasticity
A. Giacomini, M. Ponsiglione
Math. Models and Methods Appl. Sci. 16 (2006), 77--118.

  7.
Size effects on quasi-static growth of cracks
A. Giacomini
SIAM J. Math. Anal. 36 (2005), 1187-1928

  6.
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
A. Giacomini
Calc. Var. Partial Differential Equations 22 (2005), 129-172

  5.
A stability result for Neumann problems in dimension N≥3
A. Giacomini
J. Convex Anal. 11 (2004) 41--58.

  4.
A discontinuous finite element approximation of quasi-static growth of brittle fractures
A. Giacomini, M. Ponsiglione
Numer. Funct. Anal. Optim. 24 (2003), 813-850

  3.
Multi-peak solutions for a class of degenerate elliptic equations
A. Giacomini, M. Squassina
Asymptotic Anal. 36 (2003), 115-147

  2.
A generalization of Golab theorem and applications to fracture mechanics
A. Giacomini
Math. Models and Methods Appl. Sci. 12 (2002) 1245-1267.

  1.
Geodesical connectedness on stationary Lorentzian manifolds with nonsmooth boundary
M. Degiovanni, A. Giacomini
in "Third World Congress of Nonlinear Analysts" (Catania, 2000), V. Lakshmikhantham, ed.,
Nonlinear Anal. 47 (2001), 5041-5052.