Publications of Giuliano Lazzaroni

Preprint

Peer-reviewed papers

  1. G. Lazzaroni, R. Molinarolo, F. Riva, F. Solombrino:
    On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding.
    Interfaces Free Bound., 25 (2023), 401-454.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The online authenticated version is available here

  2. V. Crismale, G. Lazzaroni, R. Rossi:
    Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish.
    Ann. Mat. Pura Appl. (4) 202 (2023), 1271-1312.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The online authenticated version is available here

  3. R. Alicandro, L. De Luca, G. Lazzaroni, M. Palombaro, M. Ponsiglione:
    Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice.
    J. Nonlinear Sci. 33:33 (2023).
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  4. G. Lazzaroni, R. Molinarolo, F. Solombrino:
    Radial solutions for a dynamic debonding model in dimension two.
    Nonlinear Anal. 219 (2022), 112822.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  5. R. Alicandro, G. Lazzaroni, M. Palombaro:
    Derivation of linear elasticity for a general class of atomistic energies.
    SIAM J. Math. Anal. 53 (2021), 5060-5093.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  6. S. Almi, G. Lazzaroni, I. Lucardesi:
    Crack growth by vanishing viscosity in planar elasticity.
    Mathematics in Engineering 2 (2020), 141-173.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  7. G. Lazzaroni, L. Nardini:
    On the 1d wave equation in time-dependent domains and the problem of debond initiation.
    ESAIM Control Optim. Calc. Var. 25:80 (2019).
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  8. G. Lazzaroni, U. Stefanelli:
    Chain-like ground states in three dimensions.
    Trans. Math. Appl. 2 (2018), 1-22.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  9. R. Alicandro, G. Dal Maso, G. Lazzaroni, M. Palombaro:
    Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals.
    Arch. Ration. Mech. Anal. 230 (2018), 1-45.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  10. G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
    Rate-independent damage in thermo-viscoelastic materials with inertia.
    J. Dynam. Differential Equations 30 (2018), 1311-1364.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  11. 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.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  12. G. Lazzaroni, L. Nardini:
    Analysis of a dynamic peeling test with speed-dependent toughness.
    SIAM J. Appl. Math. 78 (2018), 1206-1227.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  13. R. Alicandro, G. Lazzaroni, M. Palombaro:
    Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours.
    Netw. Heterog. Media 13 (2018), 1-26.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  14. G. Lazzaroni, L. Nardini:
    On the quasistatic limit of dynamic evolutions for a peeling test in dimension one.
    J. Nonlinear Sci. 28 (2018), 269-304.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  15. R. Alicandro, G. Lazzaroni, M. Palombaro:
    On the effect of interactions beyond nearest neighbours on non-convex lattice systems.
    Calc. Var. Partial Differential Equations 56:42 (2017).
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  16. V. Crismale, G. Lazzaroni:
    Quasistatic crack growth based on viscous approximation: a model with branching and kinking.
    NoDEA Nonlinear Differential Equations Appl. 24:7 (2017).
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  17. G. Lazzaroni, M. Palombaro, A. Schlömerkemper:
    Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires.
    Discrete Contin. Dyn. Syst. Ser. S 10 (2017), 119-139.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  18. G. Dal Maso, G. Lazzaroni, L. Nardini:
    Existence and uniqueness of dynamic evolutions for a peeling test in dimension one.
    J. Differential Equations 261 (2016), 4897-4923.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  19. M. Barchiesi, G. Lazzaroni, C. I. Zeppieri:
    A bridging mechanism in the homogenization of brittle composites with soft inclusions.
    SIAM J. Math. Anal. 48 (2016), 1178-1209.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  20. V. Crismale, G. Lazzaroni:
    Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model.
    Calc. Var. Partial Differential Equations 55:17 (2016).
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  21. G. Lazzaroni, M. Palombaro, A. Schlömerkemper:
    A discrete to continuum analysis of dislocations in nanowire heterostructures.
    Commun. Math. Sci. 13 (2015), 1105-1133.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  22. G. Lazzaroni, R. Toader:
    Some remarks on the viscous approximation of crack growth.
    Discrete Contin. Dyn. Syst. Ser. S 6 (2013), 131-146.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  23. G. Lazzaroni, R. Bargellini, P.-E. Dumouchel, J.-J. Marigo:
    On the role of kinetic energy during unstable propagation in a heterogeneous peeling test.
    Int. J. Fract. 175 (2012), 127-150.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  24. G. Lazzaroni, R. Toader:
    A model for crack propagation based on viscous approximation.
    Math. Models Methods Appl. Sci. 21 (2011), 2019-2047.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  25. G. Lazzaroni, R. Toader:
    Energy release rate and stress intensity factor in antiplane elasticity.
    J. Math. Pures Appl. (9) 95 (2011), 565-584.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  26. G. Lazzaroni:
    Quasistatic crack growth in finite elasticity with Lipschitz data.
    Ann. Mat. Pura Appl. (4) 190 (2011), 165-194.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  27. G. Dal Maso, G. Lazzaroni:
    Quasistatic crack growth in finite elasticity with non-interpenetration.
    Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), 257-290.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

Peer-reviewed conference proceedings

  1. G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
    Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics.
    Journal of Physics: Conference Series 727 (2016), 012009.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

  2. G. Lazzaroni, M. Palombaro, A. Schlömerkemper:
    Dislocations in nanowire heterostructures: from discrete to continuum.
    Proc. Appl. Math. Mech. 13 (2013), 541-544.
    The final authenticated version is available here

  3. G. Dal Maso, G. Lazzaroni:
    Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem.
    Discrete Contin. Dyn. Syst. 31 (2011), 1219-1231.
    Author Accepted Manuscript (post-peer-review, pre-copyedit)
    The final authenticated version is available here

Non peer-reviewed publication

Theses

  1. G. Lazzaroni:
    Some results in the variational theory of crack growth.
    Ph.D. Thesis. Supervisor: Prof. G. Dal Maso. SISSA, 2009.

  2. G. Lazzaroni:
    Problemi di Neumann in domini con tagli.
    Master's thesis. Supervisor: Prof. G. Dal Maso. University of Trieste and SISSA, 2006.

  3. G. Lazzaroni:
    Integrazione numerica su varietà: il caso del corpo rigido mediante i quaternioni.
    Bachelor's thesis. Supervisor: Prof. F. Fassò. University of Padua, 2004.