Maria Giovanna Mora Publications


  Some preprints are available here

Papers

  1. Energy minimisers of perturbed dislocation energies
    J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    To appear in Nonlinear Analysis.

  2. Pressure live loads and the variational derivation of linear elasticity
    M.G. Mora, F. Riva
    Preprint March 2022
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  3. Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies
    J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Preprint December 2021
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  4. Stability of boundary conditions for the Sadowsky functional
    L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    Preprint November 2021
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  5. Equilibrium measure for a nonlocal dislocation energy with physical confinement
    M.G. Mora, A. Scagliotti
    To appear in Adv. Calc. Var.
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  6. Reference configurations versus optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
    C. Maor, M.G. Mora
    J. Nonlinear Sci. 31, 62 (2021).
    Link to the published paper (Open Access)

  7. Explicit minimisers of some nonlocal anisotropic energies: a short proof
    J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Izv. Math. 85 (2021), 468-482.

  8. The equilibrium measure for an anisotropic nonlocal energy
    J.A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Calc. Var. Partial Differential Equations 60, 10 (2021).
    Link to the published paper (Open Access)

  9. A maximum-principle approach to the minimisation of a nonlocal dislocation energy
    J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Mathematics in Engineering 2 (2020), 253-263.

  10. The ellipse law: Kirchhoff meets dislocations
    J.A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Commun. Math. Phys. 373 (2020), 507-524.
    Link to the published paper (Open Access)

  11. The equilibrium measure for a nonlocal dislocation energy
    M.G. Mora, L. Rondi, L. Scardia
    Comm. Pure Appl. Math. 72 (2019), 136-158.
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  12. Quasistatic evolution in non-associative plasticity revisited
    G.A. Francfort, M.G. Mora
    Calc. Var. Partial Differential Equations (2018), 57:11.
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  13. Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation
    G.B. Maggiani, M.G. Mora
    Ann. Mat. Pura Appl. 197 (2018), 775-815.
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  14. Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion
    J.-F. Babadjian, M.G. Mora
    J. Differential Equations 264 (2018), 5109-5151.
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  15. A second order minimality condition for a free-boundary problem
    I. Fonseca, G. Leoni, M.G. Mora
    Ann. Sc. Norm. Super. Pisa Cl. Sci. 19 (2019), 1303-1358.
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  16. Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement
    M.G. Mora, M. Peletier, L. Scardia
    SIAM J. Math. Anal. 49 (2017), 4149-4205.
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  17. A dynamic evolution model for perfectly plastic plates
    G.B. Maggiani, M.G. Mora
    Math. Models Methods Appl. Sci. 26 (2016), 1825-1864.
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  18. Relaxation of the Hencky model in perfect plasticity
    M.G. Mora
    J. Math. Pures Appl. 106 (2016), 725-743.
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  19. A variational model for anisotropic and naturally twisted ribbons
    L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    SIAM J. Math. Anal. 48 (2016), 3883-3906.
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  20. A corrected Sadowsky functional for inextensible elastic ribbons
    L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    J. Elasticity 123 (2016), 125-136.
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  21. Stress regularity for a new quasistatic evolution model of perfectly plastic plates
    E. Davoli, M.G. Mora
    Calc. Var. Partial Differential Equations 54 (2015), 2581-2614.
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  22. Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models
    J.-F. Babadjian, M.G. Mora
    Q. Appl. Math. 73 (2015), 265-316.
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  23. A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence
    E. Davoli, M.G. Mora
    Ann. Inst. H. Poincaré Anal. Nonlin. 30 (2013), 615-660.
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  24. Nonlinear thin-walled beams with a rectangular cross-section - Part II
    L. Freddi, M.G. Mora, R. Paroni
    Math. Models Methods Appl. Sci. 23 (2013), 743-775.
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  25. Quasistatic evolution in non-associative plasticity - the cap model
    J.-F. Babadjian, G.A. Francfort, M.G. Mora
    SIAM J. Math. Anal. 44 (2012), 245-292.
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  26. Nonlinear thin-walled beams with a rectangular cross-section - Part I
    L. Freddi, M.G. Mora, R. Paroni
    Math. Models Methods Appl. Sci. 22 (2012), 1150016 (34 pp).
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  27. Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density
    E. Davoli, M.G. Mora
    Proc. Roy. Soc. Edinburgh  Sect. A 142 (2012), 501-524.
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  28. Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
    M.G. Mora, L. Scardia
    J. Differential Equations 252 (2012), 35-55.
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  29. Large time existence for thin vibrating plates
    H. Abels, M.G. Mora, S. Müller
    Comm. Partial Differential Equations 36 (2011), 2062-2102.
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  30. The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
    M. Lewicka, M.G. Mora, M.R. Pakzad
    Arch. Rational Mech. Anal. 200 (2011), 1023-1050.
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  31. The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
    H. Abels, M.G. Mora, S. Müller
    Calc. Var. Partial Differential Equations 41 (2011), 241-259.
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  32. Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
    M. Lewicka, M.G. Mora, M.R. Pakzad
    Ann. Sc. Norm. Super. Pisa Cl. Sci. 9 (2010), 253-295.
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  33. A nonlinear theory for shells with slowly varying thickness
    M. Lewicka, M.G. Mora, M.R. Pakzad
    C. R. Acad. Sci. Paris, Sér. I 347 (2009), 211-216.

  34. Globally stable quasistatic evolution in plasticity with softening
    G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    Netw. Heterog. Media 3 (2008), 567-614.

  35. A second order minimality condition for the Mumford-Shah functional
    F. Cagnetti, M.G. Mora, M. Morini
    Calc. Var. Partial Differential Equations 33 (2008), 37-74.
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  36. Convergence of equilibria of three-dimensional thin elastic beams
    M.G. Mora, S. Müller
    Proc. Roy. Soc. Edinburgh  Sect. A 138 (2008), 873-896.
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  37. A vanishing viscosity approach to quasistatic evolution in plasticity with softening
    G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    Arch. Rational Mech. Anal. 189 (2008), 469-544.

  38. Convergence of equilibria of planar thin elastic beams
    M.G. Mora, S. Müller, M.G. Schultz
    Indiana Univ. Math. J. 56 (2007), 2413-2438.
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  39. Time-dependent systems of generalized Young measures
    G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    Netw. Heterog. Media 2 (2007), 1-36.

  40. Derivation of a rod theory for multiphase materials
    M.G. Mora, S. Müller
    Calc. Var. Partial Differential Equations 28 (2007), 161-178.

  41. Quasistatic evolution problems for linearly elastic - perfectly plastic materials
    G. Dal Maso, A. DeSimone, M.G. Mora
    Arch. Rational Mech. Anal. 180 (2006), 237-291.
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  42. A nonlinear model for inextensible rods as a low energy Gamma-limit of three-dimensional nonlinear elasticity
    M.G. Mora, S. Müller
    Ann. Inst. H. Poincaré Anal. Nonlin. 21 (2004), 271-293.

  43. Derivation of the nonlinear bending-torsion theory for inextensible rods by Gamma-convergence
    M.G. Mora, S. Müller
    Calc. Var. Partial Differential Equations 18 (2003), 287-305.

  44. Derivation of nonlinear bending theory for shells from three dimensional nonlinear elasticity by Gamma-convergence
    G. Friesecke, R.D. James, M.G. Mora, S. Müller
    C. R. Acad. Sci. Paris, Sér. I 336 (2003), 697-702.

  45. The calibration method for free-discontinuity problems on vector-valued maps
    M.G. Mora
    J. Convex Anal. 9 (2002), 1-29.

  46. Local calibrations for minimizers of the Mumford-Shah functional with a triple junction
    M.G. Mora
    Commun. Contemp. Math. 4 (2002), 297-326.

  47. Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set
    M.G. Mora, M. Morini
    Ann. Inst. H. Poincaré Anal. Nonlin. 18 (2001), 403-436.

  48. Finite Difference Approximation of Free Discontinuity Problems
    M. Gobbino, M.G. Mora
    Proc. Roy. Soc. Edinburgh  Sect. A 131 (2001), 567-595.

  49. Functionals depending on curvatures with constraints
    M.G. Mora, M. Morini
    Rend. Sem. Mat. Univ. Padova 104 (2000), 173-199.

  50. Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
    G. Dal Maso, M.G. Mora, M. Morini
    J. Math. Pures Appl. 79 (2000), 141-162.

Other Publications

  1. One-dimensional von Kármán models for elastic ribbons
    L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    Meccanica 53 (2018), 659-670.
    Download a preprint version

  2. Thin vibrating plates: long time existence and convergence to the von Kármán plate equations
    H. Abels, M.G. Mora, S. Müller
    GAMM-Mitt. 34 (2011), 97-101.

Theses

  1. The Calibration Method for Free-Discontinuity Problems on Small Domains
    Ph.D. thesis, SISSA, Trieste, 2001. Download

  2. Approssimazione non locale in problemi con discontinuità libera
    Degree thesis, Università di Parma, 1997.

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