A multi-variant martensitic phase transformation model: Formulation and numerical implementation

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 3-5, 2001, Pages 215-238

  Govindjee, Sanjay ^a   Miehe, Christian ^a,b  

^a Berkeley   (United States)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; INTEGRATION; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; PLASTICITY; SHAPE MEMORY EFFECT; SINGLE CRYSTALS; THERMODYNAMICS;

PHASE TRANSFORMATION MODEL; THERMODYNAMIC FORCES;

MARTENSITIC TRANSFORMATIONS;

ALLOY; COMPUTATIONAL MODEL;

EID: 0035941056     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00271-7     Document Type: Article

References (47)

1. A one-dimensional continuum model for shape-memory alloys
2. Cyclic effects in shape-memory alloys: A one-dimensional continuum model
3. A model for an alloy with shape memory
4. A model for memory alloys in plane strain
5. Simulation of material behavior of alloys with shape memory
6. Fine phase mixtures as minimizers of energy
7. Proposed experimental tests of a theory of fine microstructures and the 2-well problem
8. Recoverable strains in shape-memory alloys
9. Symmetry, texture and the recoverable strain of shape-memory polycrystals
10. Thermomechanical modeling of polysrystalline SMAs under cyclic loading, Part I: Theoretical derivations
11. A thermodynamic constitutive model for the shape memory materials. Part I. The monolithic shape memory alloy
12. A thermodynamic constitutive model for the shape memory materials. Part II. The SMA composite material
13. Finite element analysis of the behavior of shape memory alloys and their applications
14. Themodynamics with internal state variables
15. A multivariant micromechanical model for SMAs. Part I: Crystallographic issues for single crystal model
16. Computational aspects of solid-solid phase transformation modeling with a Gibbs functions
17. A computational model for shape memory alloys
18. Computational aspect of one-dimensional shape memory alloy modeling with phase diagrams
19. A model and numerical framework for the simulation of solid-solid phase transformations
20. Application of a paritally relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution
21. Microstructure in the cubic to monoclinic transition in titanium-nickel shape memory alloys
22. A multivariant model for single crystal shape memory alloy behavior
23. Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method
24. The relaxation of a double-well problem
25. Shape memory alloys: Micromechanical modeling and numerical analysis of structures
26. Generalized plasticity and shape memory alloys
27. Evolution problem associated with a moving convex set in a Hilbert space
28. Application of convex analysis to the treatment of elastoplastic systems
29. On the pseudo-elastic hysteresis
30. Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms
31. Orientation dependence of the pseudoelastic behavior of single crystals of Cu-Al-Ni in tension
32. Non-linear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity
33. Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
34. Consistent tangent operators for rate independent elastoplasticity
35. Constitutive equations for polycrystalline thermoelastic shape memory alloys. Part I: Intergranular interactions and behavior of the grain
36. On the relaxation of a three-well energy
37. Micromechanics constitutive description of thermoelastic martensitic transformations
38. A phenomenological theory of transformation superplasticity
39. H-measures, a new approach for studying homogenization, oscillation and concentration effects in partial differential equations
40. On the theory of the formation of martensite