Abstract
Recent experimental results related to the cubic-to-orthorhombic phase transformation in the family of Ti50Ni50 − x Pd x shape memory alloys show that the remarkable reduction of the hysteresis when the Pd content approaches 11% is accompanied by a noticeable change in the microstructure present in the martensitic phase; in particular, of the types of twins and of their arrangement. As a preliminary step towards modelling such a behavior, I consider the simplest model of Landau-type for this transformation and in a specific but not too special case compare the theoretical results with the experimental findings.
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References
Mathematica, 6.0 edn. Wolfram Research, Inc., Champaign, Illinois (2007)
Ball, J.M., James, R.D.: Fine phase mixtures as minimizers of energy. Arch. Rational Mech. Anal. 100, 13–52 (1987)
Bhattacharya, K.: Microstructure of Martensite: Why It Forms and How It Gives Rise to the Shape-Memory Effect. Oxford Univ. Press, Oxford (2003)
Delville, R.: TEM investigation of microstructures in Ti50Ni50 − x Pd x alloys with special lattice parameters. In: Multi-scale modelling and characterization of materials, periodic meeting of the network, MULTIMAT European Network, Aula Convegni, CNR Building, Piazzale Aldo Moro 7, Roma, April 2-4 (2008)
Delville, R., Schryvers, D., Zhang, Z., James, R.D.: Transmission electron microscopy investigation of microstructures in low-hysteresis alloys with special lattice parameters. Scripta Materialia 60, 293–296 (2009)
Ericksen, J.L.: Local bifurcation theory for thermoelastic Bravais lattices. In: Ericksen, J.L., James, R.D., Kinderlehrer, D., Luskin, M. (eds.) Microstructure and phase transition. The IMA Volumes in Mathematics and its Applications, vol. 54. Springer, New York (1993)
Hane, K.F., Shield, T.W.: Microstructure in a cubic to orthorhombic transition. J. of Elasticity 59, 267–318 (2000)
James, R.D., Hane, K.T.: Martensitic transformations and shape-memory materials. Acta Mater. 48, 197–222 (2000)
Klassen-Nekliudova, M.V.: Mechanical twinning of crystals. Consultant Bureau, New York (1964)
Pitteri, M.: Some remarks on the fcc-fct phase transformation in InTl alloys. Mathematics and Mechanics of Solids, Online First (to appear, 2009)
Pitteri, M., Zanzotto, G.: Continuum models for phase transitions and twinning in crystals. CRC/Chapman & Hall, Boca Raton (2002)
Salje, E.K.H.: Phase transitions in ferroelastic and co-elastic crystals. Cambridge University Press, Cambridge (1990)
Schwarz, G.W.: Smooth functions invariant under the action of a compact Lie group. Topology 14, 63–68 (1975)
Truesdell, C.A.: A first course in rational continuum mechanics, vol. 1. Academic Press, New York (1977)
Zhang, Z., James, R.D., Müller, S.: Energy barriers and hysteresis in martensitic phase transformations. Preprint series, n. 87, Max Planck Institut für Mathematik in den Naturwissenschaften Leipzig (2008)
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Pitteri, M. (2010). Microstructures in the Ti50Ni50 − x Pd x Alloys’ Cubic-to-Orthorhombic Phase Transformation: A Proposed Energy Landscape. In: Albers, B. (eds) Continuous Media with Microstructure. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11445-8_24
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DOI: https://doi.org/10.1007/978-3-642-11445-8_24
Publisher Name: Springer, Berlin, Heidelberg
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