R. Scala, N. Van Goethem:
Dislocations at the continuum scale: functional setting and variational properties
(Preprint) 2013
G. Dal Maso, R. Scala:
Quasistatic evolution in perfect plasticity as limit of dynamic processes
Journal of Dynamics and Differential Equations Vol. 26, N. 4, p. 915-954, 2014
R. Scala, N. Van Goethem:
Currents and dislocations at the continuum scale
(accepted MAA) 2014
R. Scala:
Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish
(COCV) 2014
G. B. Maggiani, R. Scala, N. Van Goethem:
A compatible-incompatible decomposition of symmetric tensors in Lp with application to elasticity
(Mathematical Methods in Applied Sciences) 2014
E. Bonetti, E. Rocca, R. Scala, G. Schimperna:
On the strongly damped wave equation with constraint
(Submitted Paper) 2015
R. Scala, G. Schimperna:
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints
(European Journal of Applied Mathematics) 2015
R. Scala:
A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint
(Accepted on Interfaces Free Bound.) 2015
R. Scala, N. Van Goethem:
Analytic and geometric properties of dislocation singularities
( Accepted on Proc. A Royal Soc. Edinburgh ) 2015
R. Scala, G. Schimperna:
On the viscous Cahn-Hilliard equation with singular potential and inertial term
(Preprint) 2016
E. Rocca, R. Scala:
A rigorous sharp interface limit of a diffuse interface model related to tumor growth
(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
R. Scala:
Optimal estimates for the triple junction function and other surprising aspects of the area functional
Annali SNS (Accepted Paper) 2017
D. Melching, R. Scala, J. Zeman:
Damage model for plastic materials at finite strains
(Preprint) 2018
P. Gidoni, G. B. Maggiani, R. Scala:
Existence and regularity of solutions for an evolution model of perfectly plastic plates
(Preprint) 2018
R. Scala, N. Van Goethem:
Variational evolution of dislocations in single crystals
Journal of Nonlinear Science (Accepted Paper) 2018
R. Scala, N. Van Goethem:
A variational approach to single crystals with dislocations
SIAM J. Math. Anal. (Accepted Paper) 2018
I. Lucardesi, M. Morandotti, R. Scala, D. Zucco:
Confinement of dislocations inside a crystal with a prescribed external strain
Riv. Mat. Univ. Parma Vol. 9, N. 2, p. 283-327, 2018
G. Bellettini, A. Elshorbagy, M. Paolini, R. Scala:
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
(Preprint) 2019
I. Lucardesi, M. Morandotti, R. Scala, D. Zucco:
Upscaling of screw dislocations with increasing tangential strain
Rend. Lincei Mat. Appl. Vol. 31, p. 419-443, 2020
R. Scala, U. Stefanelli:
Linearization for finite plasticity under dislocation-density tensor regularization
Continuum Mechanics and Thermodynamics (Accepted Paper) 2020
M. Negri, R. Scala:
Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model
(Preprint) 2020
S. Fanzon, M. Ponsiglione, R. Scala:
Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces
Calculus of Variations and Partial Differential Equations 2020
G. Bellettini, A. Elshorbagy, R. Scala:
The $L^1$-relaxed area of the graph of the vortex map
(Preprint) 2021
A. Garroni, R. Marziani, R. Scala:
Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of the quadratic growth
SIAM J. Math. Anal. Vol. 53, N. 4, p. 4252-4302, 2021
J. F. Rodrigues, R. Scala:
Dynamics of a viscoelastic membrane with gradient constraint
(Preprint) 2021
G. Bellettini, R. Marziani, R. Scala:
A non-parametric Plateau problem with partial free boundary
(Submitted Paper) 2021
G. Bellettini, S. Carano, R. Scala:
The relaxed area of $S^1$-valued singular maps in the strict $BV$-convergence
ESAIM: Control, Optimization and Calculus of Variations Vol. 28, N. 56, p. 38, 2022
L. De Luca, R. Scala, N. Van Goethem:
A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation
Indiana Univ. Math. J. (Accepted Paper) 2022
G. Bellettini, R. Scala, G. Scianna:
Upper bounds for the relaxed area of $S^1$-valued Sobolev maps and its countably subadditive interior envelope
(Preprint) 2023
G. Bellettini, S. Carano, R. Scala:
Relaxed area of graphs of piecewise Lipschitz maps in the strict $BV$-convergence
Nonlinear Analysis (Accepted Paper) p. 46, 2023
R. Scala, G. Scianna:
On the $L^1$-relaxed area of graphs of $BV$ piecewise constant maps taking three values
(Preprint) 2023
G. Bellettini, A. Elshorbagy, R. Scala:
The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound
(Preprint) 2024
G. Bellettini, A. Elshorbagy, R. Scala:
The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound
(Preprint) 2024
M. Caroccia, R. Scala:
On the singular planar Plateau problem
(Preprint) 2024
V. Crismale, L. De Luca, R. Scala:
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
(Preprint) 2024
G. Bellettini, A. Elshorbagy, R. Scala:
Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment
(Preprint) 2024