gianluca orlando

My current research is funded by the Research for Innovation (REFIN) project of Regione Puglia No. D3DB80C1.

- Calculus of Variations
- \(\Gamma\)-convergence and semicontinuity problems
- Applications to Fracture Mechanics and Materials Science
- Variational analysis of discrete spin systems

All the preprint versions of my publications are available on my cvgmt or arXiv profiles.

- 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.***22**(2015), 449–476 - 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***55**:45 (2016) - G. Dal Maso, G. Orlando, R. Toader. Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation.
*Adv. Calc. Var.***10**(2017), 183–207 - V. Crismale, G. Lazzaroni, G. Orlando. Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue.
*Math. Models Methods Appl. Sci.***28**(2018), 1371–1412 - V. Crismale, G. Orlando. A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,n}\).
*NoDEA Nonlinear differential Equations Appl.***25**:16 (2018) - R. Alessi, V. Crismale, G. Orlando. Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach.
*J. Nonlinear Sci.***29**(2019), 1041–1094 - M. Cicalese, M. Forster, G. Orlando. Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions.
*SIAM J. Math. Anal.***51**(2019), 4848–4893 - V. Crismale, G. Orlando. A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\).
*Mathematics in Engineering***2**(2020), 101–118

All the preprints are available on my cvgmt or arXiv profiles.

- A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling.
*Preprint*(2020) - M. Cicalese, G. Orlando, M. Ruf. Coarse graining and large-N behavior of the d-dimensional N-clock model.
*Preprint*(2020) - M. Cicalese, G. Orlando, M. Ruf. Emergence of concentration effects in the variational analysis of the N-clock model.
*Preprint*(2020) - A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: topological singularities.
*Preprint*(2021) - M. Cicalese, G. Orlando, M. Ruf. The N-clock model: Variational analysis for fast and slow divergence rates of N.
*Preprint*(2021)

Gianni Dal Maso, Rodica Toader, Vito Crismale, Giuliano Lazzaroni, Roberto Alessi, Marco Cicalese, Marwin Forster, Annika Bach, Leonard Kreutz