Shape-memory Alloys are attractive for many potential applications. In an attempt to provide ideas and guidelines for the development of new shape-memory alloys, this paper reports on a series of investigations that examine the reasons in the crystallography that make (i) shape-memory alloys special amongst martensites and (ii) Nickel-Titanium special among shape-memory alloys.

1.
Ball
J. M.
, and
James
R. D.
,
1987
, “
Fine Phase Mixtures as Minimizers of Energy
,”
Archive for Rational Mechanics and Analysis
, Vol.
100
, pp.
13
52
.
2.
Ball
J. M.
, and
James
R. D.
,
1992
, “
Proposed Experimental Tests of a Theory of Fine Microstructure
,”
Philosophical Transactions of the Royal Society of London
, Vol.
338A
, pp.
389
450
.
3.
Ball, J. M., and James, R. D., 1996, Fine Microstructures, in preparation.
4.
Bhattacharya
K.
,
1991
, “
Wedge-Like Microstructure in Martensite
,”
Acta Metallurgica et Materialia
, Vol.
39
, pp.
2431
2444
.
5.
Bhattacharya
K.
,
1992
, “
Self-Accommodation in Martensites
,”
Archive for Rational Mechanics and Analysis
, Vol.
120
, pp.
201
244
.
6.
Bhattacharya
K.
,
1993
, “
Comparison of the Geometrically Nonlinear and Linear Theories of Martensitic Transformation
,”
Continuum Mechanics and Thermodynamics
, Vol.
5
, pp.
205
242
.
7.
Bhattacharya, K., 1998, “A Theory of Martensitic Microstructure and its Implications for the Shape-Memory Effect,” to appear in Shape-Memory Effect, ed. Airoldi, G., Miyazaki, S. and Muller, I, eds., Trans. Tech. Pub.
8.
Bhattacharya
K.
, and
Kohn
R. V.
,
1996
, “
Symmetry, Texture, and the Recoverable Strain of Shape-Memory Polycrystals
,”
Acta Materialia
, Vol.
44
, pp.
529
542
.
9.
Bhattacharya
K.
, and
Kohn
R. V.
,
1997
, “
Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape-Memory Materials
,”
Archive for Rational Mechanics and Analysis
, Vol.
139
, pp.
99
180
.
10.
Bhattacharya, K., Kohn, R. V., and Shu, Y. C., 1997, “The Taylor Estimate of Recoverable Strain in Shape-Memory Polycrystals,” The Proceedings of the IUTAM Symposium on Transformation Problems in Composite and Active Materials, Bahei-el-Din, Y. A. and Dvorak, G. J., eds., Kluwer, in press.
11.
Chipot
M.
, and
Kinderlehrer
D.
,
1988
, “
Equilibrium Configurations of Crystals
,”
Archive for Rational Mechanics and Analysis
, Vol.
103
,
237
277
.
12.
Ericksen
J. L.
,
1980
, “
Some Phase Transitions in Crystals
,”
Archive for Rational Mechanics and Analysis
, Vol.
73
, pp.
99
124
.
13.
Ericksen, J. L., 1984, “The Cauchy and Born hypothesis for crystals,” Phase Transformations and Material Instabilities in Solids, Gurtin, M. E., ed., Academic Press, pp. 61–78.
14.
Ericksen
J. L.
,
1986
, “
Stable Equilibrium Configurations of Elastic Crystals
,”
Archive for Rational Mechanics and Analysis
, Vol.
94
, pp.
1
14
.
15.
James
R. D.
,
1986
, “
Displacive Phase Transformations in Solids
,”
Journal of Mechanics and Physics of Solids
, Vol.
34
, pp.
359
394
.
16.
Khachaturyan, A. G., 1983, Theory of Structural Transformations in Solids, Wiley, New York.
17.
Otsuka
K.
, and
Shimizu
K.
,
1969
, “
Morphology and Crystallography of Thermoelastic γ Cu-Al-Ni Martensite
,”
Japanese Journal of Applied Physics
, Vol.
8
, pp.
1196
1204
.
18.
Roitburd
A.
,
1978
, “
Martensitic Transformation as a Typical Phase Transformation in Solids
,”
Solid State Physics
, Vol.
33
, pp.
317
390
.
19.
Saburi, T., and Nenno, S., 1981, “The Shape Memory Effect and Related Phenomena,” Proc. International Conference on Solid-Solid Phase Transformations, H. I. Aaronson et al., eds., The Metallurgical Society AIME, New York, pp. 1455–1479.
20.
Shu, Y. C., and Bhattacharya, K., 1998, “The Influence of Texture on the Shape-Memory Effect in Polycrystals,” Acta Materialia, in press.
21.
Wayman
C.
,
1992
, “
Shape Memory and Related Phenomena
,”
Progress in Materials Science
, Vol.
36
, pp.
203
224
.
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