Maria Giovanna Mora Publications


  Some preprints are available here

Papers

  1. 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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  2. The ellipse law: Kirchhoff meets dislocations
    J.A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Preprint March 2017
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  3. Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation
    G.B. Maggiani, M.G. Mora
    Ann. Mat. Pura Appl., to appear.
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  4. Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion
    J.-F. Babadjian, M.G. Mora
    J. Differential Equations, to appear.
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  5. The equilibrium measure for a nonlocal dislocation energy
    M.G. Mora, L. Rondi, L. Scardia
    Comm. Pure Appl. Math., to appear.
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  6. A second order minimality condition for a free-boundary problem
    I. Fonseca, G. Leoni, M.G. Mora
    Preprint May 2016
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  7. 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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  8. 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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  9. Relaxation of the Hencky model in perfect plasticity
    M.G. Mora
    J. Math. Pures Appl. 106 (2016), 725-743.
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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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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  20. 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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  21. 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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  22. 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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  23. 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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  24. 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.

  25. 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.

  26. 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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  27. 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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  28. 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.

  29. 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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  30. Time-dependent systems of generalized Young measures
    G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    Netw. Heterog. Media 2 (2007), 1-36.

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

  32. 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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  33. 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.

  34. 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.

  35. 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.

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

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

  38. 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.

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

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

  41. 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, to appear.
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  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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