Constitutive theories of shape memory alloys related to microstructure

The shape memory effect occurring in various alloys is due to a Martensitic phase transformation deforming the lattice. Because of elastic misfit of the product phase within the matrix of the parent phase inhomogeneous microstructures arise at two different length scales. As a consequence the deformation to be observed differs on different length scales and one thoroughly has to discriminate between different levels of description. For shape memory alloys the deformations on each level are discussed. Moreover, constitutive theories covering the whole range from microscopic dimensions up to macroscopic polycrystals are reviewed and their interrelations are presented.

[1]  G. Olson,et al.  Estimation of the domain-boundary energy by Landau-Ginzburg model for cubic to tetragonal transformations , 1993 .

[2]  Teodor M. Atanackovic,et al.  A model for memory alloys in plane strain , 1986 .

[3]  I. Müller,et al.  A model for phase transition in pseudoelastic bodies , 1980 .

[4]  A. Bertram Thermo-mechanical constitutive equations for the description of shape memory effects in alloys , 1983 .

[5]  B. Renker,et al.  Dynamical properties of premartensitic NiTi , 1984 .

[6]  Tetsuro Suzuki Non-Linear Mechanical Model for Martensitic Transformation , 1978 .

[7]  M. J. Kelly Energetics of the martensitic phase transition in sodium , 1979 .

[8]  C. Lexcellent,et al.  RL-models of pseudoelasticity and their specification for some shape memory solids , 1994 .

[9]  H. Warlimont,et al.  Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations , 1974 .

[10]  J. Sprekels,et al.  Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys , 1989 .

[11]  C. M. Wayman,et al.  Crystallographic similarities in shape memory martensites , 1979 .

[12]  Yamada Theory of pseudoelasticity and the shape-memory effect. , 1992, Physical Review B (Condensed Matter).

[13]  Harmon,et al.  Fluctuationless mechanism for martensitic transformations. , 1993, Physical review. B, Condensed matter.

[14]  Sethna,et al.  Spin-glass nature of tweed precursors in martensitic transformations. , 1991, Physical review letters.

[15]  James K. Knowles,et al.  A continuum model of a thermoelastic solid capable of undergoing phase transitions , 1993 .

[16]  J. Pouget Lattice model for nonlinear patterns in ferroelastic-martensitic materials , 1991 .

[17]  Y. Koyama,et al.  Phenomenological Considerations of Phase Transformations in Indium-Rich Alloys , 1982 .

[18]  F. Falk Ginzburg-Landau theory of static domain walls in shape-memory alloys , 1983 .

[19]  F. Falk Ginzburg-Landau theory and solitary waves in shape-memory alloys , 1984 .

[20]  F. Falk,et al.  Pseudoelastic stress-strain curves of polycrystalline shape memory alloys calculated from single crystal data , 1989 .

[21]  C. Bourauel,et al.  Deformation behaviour of NiTi shape memory alloys in bending , 1991 .

[22]  H. Warlimont,et al.  The electron-metallography and crystallography of copper-aluminum martensites , 1963 .

[23]  Kikuaki Tanaka,et al.  A new micromechanical formulation of martensite kinetics driven by temperature and/or stress , 1993 .

[24]  F. Falk Model free energy, mechanics, and thermodynamics of shape memory alloys , 1980 .

[25]  S. Sjöström,et al.  Martensitic transformation plasticity simulations by finite elements , 1994 .

[26]  Huibin Xu,et al.  On the pseudo-elastic hysteresis , 1991 .

[27]  Pouget Lattice dynamics and stability of modulated-strain structures for elastic phase transitions in alloys. , 1993, Physical review. B, Condensed matter.