Publications

19. D.Grandi, U.Stefanelli, Existence and linearization for the Souza-Auricchio model at finite-strain,  Discrete and Continuous Dynamical Systems - Series B.
To appear, 2017.

 

18. D.Grandi, U.Stefanelli, Finite plasticity in P^T P. Part II: quasistatic evolution and linearization, SIAM J. Math. Anal. (SIME). To appear, 2017.
Preprint:  D.Grandi, U.Stefanelli, Finite plasticity in P^T P, arXiv:1509.08681v1.

 

17. D.Grandi, U.Stefanelli, Finite plasticity in P^T P. Part I: constitutive model,  Continuum Mech.  Therm. 2016.
Published online,  DOI: 10.1007/s00161-016-0522-1.

 

16. M. Fabrizio, D. Grandi and L. Molari, Water Evaporation and Condensation by a Phase-Field Model, J. Non-Equilib. Thermodyn. 2016. Published online, DOI: 10.1515/jnet-2016-0004.

 

15. D.Grandi, U.Stefanelli, The Souza-Auricchio model for shape-memory alloys, Discrete and Continuous Dynamical Systems - Series S (2014), 8 (2015), 723-747.

 

14. D.Grandi, U.Stefanelli, A phenomenological model for microstructure-dependent inelasticity in shape-memory alloys, Meccanica, 49 (2014),  2265-2283.

 

13. C.Giorgi, D.Grandi, V.Pata, On the Green-Naghdi Type III heat conduction model, Discrete and Continuous Dynamical Systems - Series B, 19 (2014), 2133-2143.

 

12. V.Berti, M.Fabrizio, D.Grandi, A phase field model for brine channels in sea ice, Physica B 425 (2013), 100-104.

 

11. D. Grandi, A phase field approach to solidification and solute separation in water solutions, ZAMP, 64 (2013), 1611-1624.

 

10. A.Berti, V.Berti, D.Grandi, A thermodynamic approach to isotropic-nematic phase transitions in liquid crystals, Meccanica, 48 (2013), 983-991.

 

9. V.Berti, M.Fabrizio, D.Grandi, A phase field model for liquid-vapour phase transition, Discrete and Continuous Dynamical Systems - Series S, 6 (2013), 317-330.

 

8. V.Berti, D.Grandi, A non isothermal phase-field model for the ferromagnetic phase transition, Mathematical Methods in the Applied Sciences, 36 (2013), 1342-1349.

 

7. M.Maraldi, L.Molari, D.Grandi, A Non-isothermal Phase-field Model for Shape Memory Alloys: Numerical Simulations of Superelasticity and Shape Memory Effect Under Stress-controlled Conditions, Journal of Intelligent Material Systems and Structures, 23 (2012), 1083-1092.

 

6. D.Grandi, M.Maraldi, L.Molari, A macroscale, phase-field model for shape memory alloys with non-isothermal effects: Influence of strain-rate and environmental conditions on the mechanical response, Acta Materialia, 60 (2012), 179-191.

 

5. M.Maraldi, L.Molari, D.Grandi, A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions, International Journal of Engineering Science, 50 (2012), 31-45.

 

4. A.Berti, V.Berti, D.Grandi, Well-posedness of an isothermal diffusive model for binary mixtures of incompressible fluids, Nonlinearity, 24 (2011), 3143-3164.

 

3. V.Berti, M.Fabrizio, D.Grandi, Hysteresis and Phase Transitions for 1D and 3D Models in Shape Memory Alloys, Journal of Mathematical Physics, 51 (2010), 062901-1 - 062901-13.

 

2. V.Berti, M.Fabrizio, D.Grandi, Phase transitions in shape memory alloys: A non-isothermal Ginzburg-Landau model, Physica D-Nonlinear Phenomena, 239 (2010), 95-102.

 

1. F.Daghia, M.Fabrizio, D.Grandi, A non isothermal Ginzburg-Landau model for phase transitions in shape memory alloys, Meccanica, 45 (2010), 797-807.