gianluca orlando

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

## research interests

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

## publications

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

1. 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
2. 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 (2016), Article no. 45
3. 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
4. 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
5. 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 (2018), Article no. 16
6. 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
7. 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
8. 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
9. A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling. Calculus of Variations and Partial Differential Equations 60 (2021), Article no. 149
10. M. Cicalese, G. Orlando, M. Ruf. Coarse graining and large-N behavior of the d-dimensional N-clock model. Interfaces Free Bound. 23 (2021), 323–351
11. M. Cicalese, G. Orlando, M. Ruf. Emergence of concentration effects in the variational analysis of the N-clock model. Comm. Pure Appl. Math., to appear
12. A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: topological singularities. Indiana Univ. Mat. J., to appear

## preprints

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

1. M. Cicalese, G. Orlando, M. Ruf. The N-clock model: Variational analysis for fast and slow divergence rates of N. Preprint (2021)

2. M. Cicalese, M. Forster, G. Orlando. Variational analysis of the $$J_1$$-$$J_2$$-$$J_3$$ model: a non-linear lattice version of the Aviles-Giga functional. Preprint (2021)