Research
Research Areas
- Calculus of variations and partial differential
equations
- Applications in material science:
- plasticity &
dislocations
- nonlinear elasticity
and rod and plate theories
- fracture and damage mechanics
- homogenization
Industrial Partners
Preprints available here
- L. Scardia: The nonlinear
bending-torsion theory for curved rods as Gamma-limit of three-dimensional
elasticity. Asymptot. Anal.,
47 (2006) 317-343.
- L. Scardia: Damage as
Gamma-limit of microfractures in anti-plane linearized elasticity. M3AS, 18 (2008)
1703-1740.
- L. Scardia: Asymptotic models
for curved rods derived from nonlinear elasticity by Gamma-convergence. Proc.
Roy. Edinb. Soc. A, 139 (2009), 1037-1070.
- T. Roubicek, L. Scardia & C. Zanini: Quasistatic delamination
problem. Contin. Mech. Thermodyn., 21 (2009), 223-235.
- L. Scardia: Damage as the
Gamma-limit of microfractures in linearized elasticity under the non-interpenetration
constraint. Adv. Calc. Var., 3 (2010), 423-458.
- F. Cagnetti & L. Scardia: An extension theorem in SBV and an
application to the homogenization of the Mumford-Shah functional in
perforated domains. J. Math. Pures Appl.,
95 (2011), 349-381.
- L. Scardia, A. Schloemerkemper & C. Zanini:
Boundary layer energies for nonconvex discrete
energies. Math. Models Methods Appl. Sci., 21 (2011), 777-817.
- M.G. Mora & L. Scardia:
Convergence of equilibria of thin elastic plates
under physical growth conditions for the energy density. J. Differential Equations,
252 (2012), 35-55.
- L. Scardia, A. Schloemerkemper & C. Zanini:
Towards uniformly Gamma-equivalent theories for non-convex discrete
systems. Discrete Contin. Dyn. Syst. Ser. B, 17/2 (2012), 661-686.
- L. Scardia & C.I. Zeppieri: Gradient Theory for Plasticity as the
Gamma-limit of a nonlinear dislocation energy.
Accepted by SIAM J. Math. Anal.
- M.G.D. Geers, R.H.J. Peerlings, M.A. Peletier
& L. Scardia: Asymptotic behaviour
of a pile-up of infinite walls of edge dislocations. Submitted paper.
- L. Scardia, R.H.J. Peerlings, M.A. Peletier & M.G.D. Geers:
Mechanics of dislocation pile-up: A unification of scaling regimes.
Submitted paper.
Some
recent talks: