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Ferroelasticity Bratkovsky et al., 1996

Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

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Page 1: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Ferroelasticity

Bratkovsky et al., 1996

Page 2: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Background

Set

As T approaches the transition temperature, the shear modulus goes to zero and the material loses strength.

Page 3: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Salje, 2000

Characteristic hysteresis of ferroelastic materials

Page 4: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Yamada et al., 1992

Spontaneous strain due to phase transitions

Page 5: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Yamada et al., 1992

Two possible phase transitions which leadto the twin patterns of ferroelastic materials

Page 6: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Nakayama et al., 1985

Extinction angles of two domains in a ferroelastic crystal

Page 7: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Bratkovsky et al., 1996

Tweed texture common in ferroelastic phase transitions

Page 8: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Salje, 2000

Evolution of domain structures with time

Page 9: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Salje, 2000

X-ray diffraction pattern for a twin wall

Page 10: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Mathematical Description of the Ferroelastic Material using Landau Theory

Locherer et al., 1996

Page 11: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Chrosch et al., 1999

Chrosch et al., 1999

Chrosch et al., 1999

Bismayer et al., 1997

Experimental results compared with theory

Page 12: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Applications

• Ferroelastic materials could be useful for nanotechnology.

• The behavior of natural minerals could be greatly influenced by their ferroelastic microstructures.

Page 13: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Nanotechnology

Aird et al., 1998

Page 14: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Geologic Impacts

Salje et al., 1998

Salje et al., 1998

Page 15: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Conclusions

• The domain walls formed during ferroelastic phase transitions exhibit much different properties than the domains that they separate.

• The properties of domains and their walls could be very useful in mineral physics and mineralogy research.

Page 16: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

ReferencesAird, A., and Salje, E.K.H., 1998, J. Phys.: condens. matter, 10, L377.

Bismayer, U., Rower, R.W., Morgenroth, W., Guttler, B., 1997, Solid State Ionics, 101-103, 585.

Bratkovsky, A.M., Heine, V., Salje, E.K.H., 1996, Phil. Trans. R. Soc. Lond. A., 354, 2875.

Chrosch, J., and Salje E.K.H., 1999, J. Appl. Phys., 85, 722.

Locherer, K., Hayward, S., Hirst, P., Chrosch, J., Yeadon, M., Abell, J.S., and Salje, E.K.H., 1996, Phil. Trans. R. Soc. Lond. A., 354, 2815.

Nakayama, H., Ishii, K., Chijiwa, E., Wada, M., Sawada, A., 1985, Solid State Commun., 55, 59.

Salje, E.K.H., Gustaaf Van Tendeloo, A.B., Ishibashi, Y., Buckley, A., Nord, G.L., 1998, Am. Min, 83, 811.

Salje, E.K.H., 2000, Contemp. Phys., 41, 79.

Yamada, Y., and Uesu, Y., 1992, Solid State Commun., 81, 777.

Page 17: Ferroelasticity Bratkovsky et al., 1996. Background Set As T approaches the transition temperature, the shear modulus goes to zero and the material loses

Phase Transitions in Ferroelastic and Co-elastic Crystals By E. K. Salje,

Andrew Putnis, Robert C. Liebermann, Michael F. Hochella Jr

Thank You