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ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352
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Interfacial Microstructures in Martensitic Transitions: From Optical Observations to Mathematical Modeling
ABSTRAKT
We present a construction of a mathematical model of an interfacial microstructure (i.e., microstructure forming at the phase interface between austenite and martensite) in a single crystal of Cu-Al-Ni shape memory alloy. In the first part of the article, the experiment is briefly outlined and the compatibility of the experimentally observed microstructures is analyzed, showing that the observed X-interfaces cannot be compatible without the presence of elastic strains. Then, the elastic strains in the microstructure are evaluated by finite element method, whereby the elastic coefficients of finely microstructured regions are obtained by homogenization. The significant influence of the choice of the geometry on the numerical results is shown and discussed.
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Otsuka, K., and Wayman, C., Shape Memory Materials.
-
Bhattacharya, K., Microstructure of Martensite.
-
Ball, J. M., and James, R. D., Fine phase mixtures as minimizers of energy. DOI: 10.1007/BF00281246
-
Ball, J. M., and James, R. D., Proposed experimental tests of theory of fine microstructure and the two-well problem. DOI: 10.1098/rsta.1992.0013
-
Dolzmann, G., Variational Methods for Crystalline Microstructure – Analysis and Computation.
-
Bhattacharya, K., Li, B., and Luskin, M., The simply laminated microstructure in martensitic crystals that undergo a cubic to orthorhombic phase trans formation. DOI: 10.1007/s002050050170
-
Novák, V., Š ittner, P., Ignacová , S., and Č ernoch, T., Transformation behavior of prism shaped shape memory alloy single crystals. DOI: 10.1016/j.msea.2006.02.192
-
Seiner, H., Sedlák, P., and Landa, M., Shape recovery mechanism observed in single crystals of Cu-Al-Ni shape memory alloy. DOI: 10.1080/01411590801891616
-
Basinski, Z. S., and Christian, J. W., Experiments on the martensitic trasformation in single crystals of indium-thallium alloys. DOI: 10.1016/0001-6160(54)90104-2
-
Ruddock, G., A Microstructure of martensite which is not a minimiser of energy: The Xinterface. DOI: 10.1007/BF01845216
-
Balandraud, X., and Zanzotto, G., Stressed microstructures in thermally induced M9R-M18R martensites. DOI: 10.1016/j.jmps.2006.03.009
-
Turteltaub, S., and Suiker, A. S. J., A multiscale thermomechanical model for cubic to tetragonal martensitic phase transformations. DOI: 10.1016/j.ijsolstr.2005.06.065
-
Gao, X., Huang, H., and Brinson, L. C., A multivariant micromechanical model for SMAs, part 1. Crystallographic issues for single crystal model. DOI: 10.1016/S0749-6419(00)00013-9
-
Patoor, E., Lagoudas, D. C., Entchev, P. B., Brinson, L. C., and Gao, X., Shape memory alloys, part I: General properties and modeling of single crystals. DOI: 10.1016/j.mechmat.2005.05.027
-
Lagoudas, D. C., Entchev, P. B., Popov, P., Patoor, E., Brinson, L. C., and Gao, X., Shape memory alloys, part II: Modeling of polycrystals. DOI: 10.1016/j.mechmat.2005.08.003
-
Popov, P., and Lagoudas, D. C., A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite. DOI: 10.1016/j.ijplas.2007.03.011
-
Hane, K. F., Microstructures in Thermoelastic Martensites.
-
Chu, C-H., and James, R. D., Analysis of microstructures in Cu-14.0%Al-3.9%Ni by energy minimization. DOI: 10.1051/jp4:1995817
-
Sedl ák, P., Seiner, H., Landa, M., Nov ák, V., áittner, P., and Manosa, L., Elastic constants of BCC austenite and 2H orthorombic martensite in CuAlNi shape memory alloy. DOI: 10.1016/j.actamat.2005.04.013
-
Brinson, L. C., and Lammering, R., Finite element analysis of the behavior of shape memory alloys and their applications.
-
Auricchio, F., and Petrini, L., A threedimensional model describing stresstemperature induced solid phase transformations: Solution algorithm and boundary value problem. DOI: 10.1002/nme.1086
-
Stupkiewicz, S., Maciewski, G., and Petryk, H., Low-energy morphology of the interface layer between austenite and twinned martensite. DOI: 10.1016/j.actamat.2007.07.034
-
Musgrave, M. J. P., Crystal Acoustics.
-
Nayfeh, A. H., Wave Propagation in Layered Anisotropic Media.
-
Seiner, H., Dynamic and transient phenomena in single crystals of shape memory alloys.
-
Landa, M., Sedlák, P., Seiner, H., Heller, L., Bicanov á, L., Šittner, P., and Novák, V., Modal resonant ultrasound spectroscopy for ferroelastics. DOI: 10.1007/s00339-008-5047-4
-
Seiner H., Landa M., Non-classical austenite-martensite interfaces observed in single crystals of Cu–Al–Ni, Phase Transitions, 82, 11, 2009. Crossref
-
Delpueyo D., Balandraud X., Grédiac M., Applying infrared thermography to analyse martensitic microstructures in a Cu–Al–Be shape-memory alloy subjected to a cyclic loading, Materials Science and Engineering: A, 528, 28, 2011. Crossref
-
Stupkiewicz Stanisław, Górzyńska-Lengiewicz Anna, Almost compatible X-microstructures in CuAlNi shape memory alloy, Continuum Mechanics and Thermodynamics, 24, 2, 2012. Crossref
-
Seiner Hanuš, Straka Ladislav, Heczko Oleg, A microstructural model of motion of macro-twin interfaces in Ni–Mn–Ga 10M martensite, Journal of the Mechanics and Physics of Solids, 64, 2014. Crossref
-
Seiner Hanuš, Mobile Interfacial Microstructures in Single Crystals of Cu–Al–Ni Shape Memory Alloy, Shape Memory and Superelasticity, 1, 2, 2015. Crossref
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Faran Eilon, Seiner Hanus, Landa Michal, Shilo Doron, The effects of microstructure on crackling noise during martensitic transformation in Cu-Al-Ni, Applied Physics Letters, 107, 17, 2015. Crossref
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Faran Eilon, Shilo Doron, Microstructural Effects During Crackling Noise Phenomena, in Avalanches in Functional Materials and Geophysics, 2017. Crossref
-
Heczko O., Vronka M., Veřtát P., Rameš M., Onderková K., Kopecký V., Krátká P., Ge Y., Mechanical Stabilization of Martensite in Cu–Ni–Al Single Crystal and Unconventional Way to Detect It, Shape Memory and Superelasticity, 4, 1, 2018. Crossref
-
Cissé Cheikh, Asle Zaeem Mohsen, An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys, Acta Materialia, 201, 2020. Crossref
-
Tsou Nien-Ti, Chen Chih-Hsuan, Chen Chuin-Shan, Wu Shyi-Kaan, Classification and analysis of trigonal martensite laminate twins in shape memory alloys, Acta Materialia, 89, 2015. Crossref
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Seiner Hanuš, Glatz Ondřej, Landa Michal, A finite element analysis of the morphology of the twinned-to-detwinned interface observed in microstructure of the Cu–Al–Ni shape memory alloy, International Journal of Solids and Structures, 48, 13, 2011. Crossref