The free energy of mixing for n-variant martensitic phase transformations using quasi-convex analysis

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 9, 2002, Pages 1897-1922

  Govindjee, Sanjay ^a,b   Mielke, Alexandar ^a,b   Hall, Garrett J ^a,b  

^a 109 McLaughlin Hall   (United States)

^b NONE

Author keywords

measures; A. Shape memory alloy; C. Quasi convexity; Martensitic phase transformation

Indexed keywords

FREE ENERGY; MARTENSITE; RELAXATION PROCESSES; SHAPE MEMORY EFFECT;

QUASI-CONVEXITY;

MARTENSITIC TRANSFORMATIONS;

EID: 0036722045     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(02)00009-1     Document Type: Article

References (40)

1. Bounds on the effective elasticity tensor of composites based on two-point correlations
2. Fine phase mixtures as minimizers of energy
3. Proposed experimental tests of a theory of fine microstructures and the 2-well problem
4. Comparison of the geometrically nonlinear and linear theories of martensitic transformations
5. The microstructure of martensite and its implications for the shape-memory effect
6. A theory of thin films of martensitic materials with applications to microactuators
7. Recoverable strains in shape-memory alloys
8. Symmetry, texture and the recoverable strain of shape-memory polycrystals
9. Relaxation in shape-memory alloys. Part I: Basic model
10. A thermodynamic constitutive model for the shape memory materials. Part I: The monolithic shape memory alloy
11. Numerical analysis of a relaxed variational model of hysteresis in two-phase solids
12. Optimal use of the translation method and relaxations of variational problems
13. The effective energy and laminated microstructures in martensitic phase transformations
14. A multi-variant martensitic phase transformation model: Formulation and numerical implementation
15. Application of a partially relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution
16. A multivariant model for single crystal shape memory alloy behavior
17. 1 martensite in a Cu-Al-Ni alloy
18. The relaxation of a double-well problem
19. Modelling of hysteresis in two-phase systems
20. Thermomechanical theory of martensitic phase transformations in inelastic materials
21. Estimates on the mixture function for multiphase problems in elasticity
22. Evolution of rate-independent inelasticity with microstructure using relaxation and young measures
23. A mathematical model for rate-independent phase transformations with hysteresis
24. Mathematical formulation of quasistatic phase transformations with friction using an extremum principle
25. A variational formulation of rate-independent phase transformations with friction using an extremum principle
26. On the pseudo-elastic hysteresis
27. The shape memory effect and related phenomena
28. Stress-induced martensitic transformation in a Cu-Al-Ni alloy
29. A theory of subgrain dislocation structures
30. Solid-solid phase transition modelling. Local and global minimizations of non-convex and relaxed potentials. Isothermal case for shape memory alloys
31. Evolution model for martensitic phase transformations in shape-memory alloys
32. Orientation dependence of the pseudoelastic behavior of single crystals of Cu-Al-Ni in tension
33. On the relaxation of a three-well energy
34. H-measures, a new approach for studying homogenization, oscillation and concentration effects in partial differential equations
35. Relaxation of rate independent evolution problems