Elena

Bonetti

Papers

Pubblished paper:

  1. Bonetti E., Some asymptotic analysis for hyperbolic relaxed Stefan problems with memory, Asymptotic Anal., 20 (1999), 241-261
  2. Bonetti E., Global solution to a Frémond model for shape memory alloys with thermal memory, Nonlinear Anal., 46 (2001), 535-565
  3. Bonetti E., Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law, Differential Integral Equations, 15 (2002) 527-566
  4. Bonetti E., Global solution to a nonlinear phase transition model with dissipation, Adv. Math. Sci. Appl., 12 (2002) 355-376
  5. Bonetti E., Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys, Rend. Sem. Mat. Univ. Pol. Torino, 6 (2002) 115-128
  6. Bonetti E., Colli P., Dreyer W., Gilardi G., Schimperna G., Sprekels J., On a model for phase separation in binary alloys driven by mechanical effects, Physica D: Nonlinear Phenomena, 165 (2002) 48-65
  7. Bonetti E., Global solvability of a dissipative Frémond model for shape memory alloys. Part I: mathematical formulation and uniqueness, Quart. Appl. Math., 61 (2003), 759-781
  8. Bonetti E., Bonfanti G., Existence and uniqueness of the solution to a 3D thermoviescoelastic system, Electron. J. Diff. Eqns., 50 (2003), 1-15.
  9. Bonetti E., Colli P., Frémond M., A phase field model with thermal memory governed by the entropy balance, M3AS Math. Models Methods Appl. Sci., 13 (2003), 1565-1588
  10. Bonetti E., Dreyer W., Schimperna G., Global solution to a generalized Cahn-Hilliard equation with viscosity, Adv. Differential Equations, 8 (2003) 231-256
  11. Bonetti E., Frémond M., A phase transition model with the entropy balance, Math. Meth. Appl. Sci., 26 (2003) 539-556
  12. Bonetti E., Frémond M., Damage theory: microscopic effects of vanishing macroscopic motions, Comput. Appl. Math., 22 (2003) 313-333
  13. Bonetti E., Global solvability of a dissipative Frémond model for shape memory alloys, Part II: existence, Quart. Appl. Math., 62 (2004), 53-76
  14. Bonetti E., Frémond M., Collisions and fracture: a 1D theory. How to tear off a chandelier from the ceiling, J. Elasticity, 74 (2004) 47-66
  15. Bonetti E., Frémond M., Collisions and fractures: a model in SBD, Rend. Mat. Acc. Lincei, s. 9, 15 (2004) 47-57
  16. Bonetti E., Frémond M., Collisions and fracture, Vietnam J. Math., 32 (2004), special issue, 167-186
  17. Bonetti E., Schimperna G., Local existence for Frémond's model of damage in elastic materials, Contin. Mech. Thermodyn., 16 (2004), 319-335
  18. Bonetti E., A new approach to phase transitions via the entropy balance, in: "Mathematical Methods and Models in Phase Transitions", A. Miranville, ed., Nova Science Publishers, Inc., NewYork 2005, pp. 125-156
  19. Bonetti E., Bonfanti G., Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system, Abstr. Appl. Anal., 2 (2005) 105-120
  20. Bonetti E., Colli P., Frémond M., Entropy balance versus energy balance - Application to the heat equation and to phase transitions, in: "Mechanical Modelling and Computational Issues in Civil Engineering", M. Frémond and F. Maceri eds, Lect. Notes Appl. Comput. Mech. 23, Springer-Verlag, Berlin 2005, pp. 379-388
  21. Bonetti E., Frémond M., A damage model: microscopic effects of macroscopic deformations, in: "Mechanical Modelling and Computational Issues in Civil Engineering", M. Frémond and F. Maceri eds, Lect. Notes Appl. Comput. Mech. 23, SpringerVerlag Berlin, 2005
  22. Bonetti E., Schimperna G., Segatti A., On a doubly nonlinear model for the evolution of damaging in viscoelastic materials, J. Differential Equations, 218 (2005) 91-116
  23. Bonetti E., Modelling phase transitions via the entropy balance: long-time behaviour of the solutions, in: "Dissipative phase transitions", P. Colli, N. Kenmochi, J. Sprekels eds, Series on "Advances in Mathematics for Applied Sciences" 71 World Sci. Publishing 2006, pp. 21-42
  24. Bonetti E., Colli P, Fabrizio M., Gilardi G., Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity, Discrete Contin. Dyn. Syst. Ser. B, 6 (2006) 1001-1026
  25. Bonetti E., Frémond M., Lexcellent Ch., Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain, Mathematics and Mechanics of solids, 11 (2006) 251-275
  26. Bonetti E., Bonfanti G., Rossi R., Well-posedness and long-time behaviour for a model of contact with adhesion, Indiana Univ. Math. J., 56 (2007) 2787-2820
  27. Bonetti E., Colli P., Fabrizio M., Gilardi G., Global solution to a singular integrodifferential system related to the entropy balance, Nonlinear Anal. TMA, 66 (2007) 1949-1979
  28. Bonetti E., Frémond M., Lexcellent Ch., Hydrogen storage: modelling and analytical results, Appl. Math. Optim., 55 (2007) 31-59
  29. Bonetti E., Frémond M., Rocca E., A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions, J. Math. Pures Appl., 88 (2007) 455-481
  30. Bonetti E., Rocca E., Global existence and long-time behaviour for a singular integrodifferential phase-field system, Commun. Pure Appl. Anal., 6 (2007) 367-389
  31. Bonetti E., Bonfanti G., Well-posedness resultsfor a model of damage in thermoviscoelastic materials, Ann. I. H. Poincaré AN, 25 (2008) 1187-1208
  32. Bonetti E., Bonfanti G., Rossi R., Global existence for a contact problem with adhesion, Math. Meth. Appl. Sci., 31 (2008) 1029-1064
  33. Bonetti E., Bonfanti G., Rossi R., Thermal effects in adhesive contact: modelling and analysis, Nonlinearity, 22 (2009) 2967-2731
  34. Bonetti E., Colli P., Fabrizio M., Gilardi G., Existence and boundedness of solutions for a singular phase field system, J. Differential Equations, 246 (2009) 3260-3295
  35. Auricchio F., Bonetti E., Marigonda A., A metric approach to plasticity via HamiltonJacobi equation, M3AS Math. Models Methods Appl. Sci., 20 (2010), 1-31
  36. Bonetti E., Frémond M., Analytical results on a model for damaging in domains and interfaces, ESAIM Control Optim. Calc. Var., 17 (2011), 955-974
  37. Bonetti E., Bonfanti G., Rossi R., Long time behavior of a thermomechanical model for adhesive contact, Discrete and Continuous Dynamical Systems. Series S, 4 (2011), 273-309
  38. Bonetti E., Fabrizio M., Frémond M., A first order phase transition with non constant density, Journal of Mathematical Analysis and Applications, 384 (2011), 561-577
  39. Bonetti E., Bonfanti G., Rossi R., Analysis of a unilateral contact problem taking into account adhesion and friction, J. Differential Equations, 235 (2012), 438-462
  40. Bonetti E., Colli P., Laurencot Ph., Global existence for a hydrogen storage model with full energy balance, Nonlinear Anal., 75 (2012), 3558-3573
  41. Auricchio F., Bonetti E., A new flexible 3D macroscopic model for shape memory alloys describing martensite reorientation, Discrete Contin. Dyn. Syst. Ser. S, 6 (2013), 277-291
  42. Bonetti E., Colli P., Frémond M., The motion of a solid with large deformations, Comptes rendus mathematiques, 351 (2013), 579-583
  43. Bonetti E., Colli P., Frémond M., The 3D motion of a solid with large deformations, Comptes rendus mathematiques, 352 (2014), 183-187
  44. Bonetti E., Frémond M., A phase transition model for the helium supercooling, Asymptotic Anal., 87 (2014), 29-42
  45. Bonetti E., Colli P., Gilardi G., Singular limit of an integrodifferential system related to the entropy balance, Discrete Contin. Dyn. Syst. ser. B, 19 (2014),1935-1953
  46. Auricchio F., Bonetti E., Scalet G., Ubertini F., Theoretical and numerical modeling of shape memory alloys accounting for multiphase transformations and martensite reorientation, International Journal of Plasticity, 59 (2014), 30-54
  47. Bonetti E., Bonfanti G., Rossi R., Analysis of a temperature-dependent model for adhesive contact with friction, Physica D, 285 (2014), 29-42
  48. Bonetti E., Colli P., Frémond M., 2D motion of with large deformations, Bollettino dell'Unione Matematica Italiana, 7 (2014), 19-44
  49. Bonetti E., Bonfanti G., Rossi R., Analysis of a model coupling volume and surface processes in thermoviscoelasticity, Discrete Contin. Dyn. Syst. ser. A, 35 (2015), 2349-2403
  50. Bonetti E., Bonfanti G., Rossi R., Modeling via internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity, Nonlin. Anal. RWA 22 (2015), 473-507
  51. Scalet G., Auricchio F., Bonetti E., Castellani L., Ferri D., Pachera M., Scavello F., An experimental, theoretical and numerical investigation of shape memory polymers, International Journal of Plasticity, 67 (2015), 127-147
  52. Bonetti E., Heinemann Ch., Kraus Ch., Segatti S., Modeling and analysis of a phase field system for damage and phase separation processes in solids, J. Differential Equations, 258 (2015), 3928-3959
  53. Bonetti E., Colli P., Fabrizio M, Gilardi G., Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys, Arch. Ration. Mech. Anal., 219 (2016), 203-254
  54. Bonetti E., Rocca E., Rossi R., Thomas M., A rate-independent gradient system in damage coupled with plasticity via structured strains, ESAIM Proc. Surveys, 54 (2016), 54-69
  55. Bonetti E., Freddi F., Segatti A., An existence result for complete damage in elastic materials, Contin. Mech. Thermodyn., Continuum Mechanics and Thermodynamics 29 (2017), 31-50
  56. Bonetti E., Rocca E., Unified gradient flow structure of phase field systems via a generalized principle of virtual powers, ESAIM - Control, Optimisation and Calculus of Variations, 23 (2017), 1201-1216
  57. Bonetti E., Bonfanti G., Lebon F., Rizzoni R., A model of imperfect interface with damage, Meccanica, Meccanica, 52 (2017), 1911-1922
  58. Bonetti E., Colli P., Tomassetti G., A non-smooth regularization of a forward-backward parabolic equation, Mathematical Models and Methods in Applied Sciences 27 (2017), 641-661

Preprints, submitted and accepted papers:

  1. Bonetti E., Rocca E., Scala R., Schimperna G., On the strongly damped wave equation with constraint, Communications in Partial Differential Equations, to appear
  2. Bauzet C., Bonetti E., Bonfanti G., Lebon F., Vallet G., A global existence and uniqueness result for a stochastic Allen-Cahn equation with constraint, Mathematical Methods in the Applied Sciences, to appear
  3. Bonetti E., Bonfanti G., Rossi R., Global existence for a nonlocal model for adhesive contact, Applicable Analysis, to appear

Proceedings:

  1. Bonetti E., Frémond M., Dissipative behavior of shape memory alloys: modelling and mathematical results, Proc. 3rd world conference on Structural Control, WCSC 2002, Como, 2002
  2. Bonetti E., Frémond M., Lexcellent Ch., Modelling shape memory alloys, J. Phys. IV France, 115 (2004), 383-390
  3. Auricchio F., Bonetti E., Scalet G., Ubertini F., Some preliminary computational results on a refined shape memory alloy model taking into account multiple phase transformations and martensite reorientation, European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) J. Eberhardsteiner et.al. (eds.), (2012), 1-14
  4. Bonetti E., Cavaterra C., Rocca E., Rossi R., Preface: Special issue dedicated to Michel Frémond on the occasion of his 70th birthday, Discrete Contin. Dyn. Syst. Ser. S, (2013), to appear
  5. Bonetti E., Colli P., Laurencot Ph., Global existence of solutions to hydrogen storage model, GAKUTO International Series Mathematical Sciences and Applications, 36 (2013), 17-41