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The near equiatomic NiTi alloy is the most successful shape memory alloy by a large margin. It is widely and increasingly used in biomedical devices. Yet, despite having a repeatable superelastic effect and excellent shape-memory, NiTi is…

The pseudoelastic and pseudoplastic properties of NiTi alloys result from the closeness of the structures between the B2 cubic austenite and the B19' monoclinic martensite, and the facility to transform one into each other. Until now, the…

Materials Science · Physics 2024-01-08 Cyril Cayron

Nickel titanium (NiTi) is a protypical shape-memory alloy used in a range of biomedical and engineering devices, but direct molecular dynamics simulations of the martensitic B19' -> B2 phase transition driving its shape-memory behavior are…

Materials Science · Physics 2024-01-12 Jonathan Vandermause , Anders Johansson , Yucong Miao , Joost J. Vlassak , Boris Kozinsky

The evolution of multivariant patterns in thin plates of magnetic shape memory materials with an applied magnetic field was studied theoretically. A geometrical domain-model is considered composed of straight stripe-like martensite variants…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. S. Kiselev , I. E. Dragunov , A. T. Onisan , U. K. Roessler , A. N. Bogdanov

Lattice dynamical methods used to predict phase-transformations in crystals typically evaluate the harmonic phonon spectra and therefore do not work in frequent and important situations where the crystal structure is unstable in the…

Materials Science · Physics 2015-05-18 Petros Souvatzis , Dominik Legut , Olle Eriksson , Mikhail I. Katsnelson

Characterizing quantum many-body phase structure is a major goal for quantum simulation. Here, we employ an unsupervised learning approach based on diffusion maps to learn phase transitions in bosonic lattice systems described by…

Computational Physics · Physics 2026-05-04 Bihui Zhu

The topological properties of a material depend on its symmetries, parameters, and spatial dimension. Changes in these properties due to parameter and symmetry variations can be understood by computing the corresponding topological…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Martin Rodriguez-Vega , Terry A. Loring , Alexander Cerjan

In this paper we introduce a 3D phenomenological model for shape memory behavior, accounting for: martensite reorientation, asymmetric response of the material to tension/compression, different kinetics between forward and reverse phase…

Analysis of PDEs · Mathematics 2012-10-05 Ferdinando Auricchio , Elena Bonetti

Ordering processes in fcc-alloys with composition A_3B (like Cu_3Au, Cu_3Pd, CoPt_3 etc.) are investigated by Monte Carlo simulation within a class of lattice models based on nearest-neighbor (NN) and second-neighbor (NNN) interactions.…

Statistical Mechanics · Physics 2015-06-24 Michael Kessler , Wolfgang Dieterich , Andrzej Majhofer

Nb-Ru is a high temperature shape memory alloy that undergoes a Martensitic transformation from a parent cubic b-phase into a tetragonal b' phase at TM 900 C. Measurements of the phonon dispersion curves show that the [110]-TA2 phonon…

Materials Science · Physics 2009-11-11 S. M. Shapiro , G. Xu , G. Gu , J. Gardner , R. W. Fonda

Evolution of the vortex lattice, the rhombus-square transition included, for LuNi_2B_2C in the field along the c crystal axis, is tracked by the decoration technique pushed up to the record high (for this method) field of 1480 Oe.…

Superconductivity · Physics 2009-11-07 L. Ya. Vinnikov , T. L. Barkov , P. C. Canfield , S. L. Bud'ko , V. G. Kogan

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

Direct experimental characterization of indentation-induced martensitic microstructures in pseudoelastic shape memory alloys (SMAs) is not possible, and thus there is a lack of evidence and understanding regarding the microstructure pattern…

Computational Physics · Physics 2023-04-26 Mohsen Rezaee-Hajidehi , Karel Tůma , Stanisław Stupkiewicz

We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary,…

Analysis of PDEs · Mathematics 2015-08-13 Hans Knüpfer , Martin Kružík

Shape memory alloys (SMAs) exhibit hysteresis behaviors upon stress and temperature induced loadings. In this contribution, we focus on numerical simulations of microstructure evolution of cubic-to-tetragonal martensitic phase…

Materials Science · Physics 2014-03-25 R. Dhote , H. Gomez , R. Melnik , J. Zu

The reverse martensitic ("austenitic") transformation upon heating of equiatomic nickel-titanium nanoparticles with diameters between 4 and 17 nm is analyzed by means of molecular-dynamics simulations with a semi-empirical model potential.…

Materials Science · Physics 2022-01-04 Daniel Mutter , Peter Nielaba

NiTi is the most used shape-memory alloy, nonetheless, a lack of understanding remains regarding the associated structures and transitions, including their barriers. Using a generalized solid-state nudge elastic band (GSSNEB) method…

Materials Science · Physics 2017-11-28 N. A. Zarkevich , D. D. Johnson

Three-dimensional lattices are fundamental to solid-state physics. The description of a lattice with an atomic basis constitutes the necessary information to predict solid phase properties and evolution. Here, we present a new algorithm for…

Materials Science · Physics 2022-08-17 David Mrdjenovich , Kristin Persson

Needle-like twins are observed experimentally within the transition layer at the martensite-twinned martensite interface. We utilize a phase-field approach to investigate this microstructure. Our goal is to simulate the morphology of the…

Materials Science · Physics 2023-09-06 Seyedshoja Amini , Mohsen Rezaee-Hajidehi , Stanislaw Stupkiewicz

We study ground-state correlation functions in one- and two-dimensional lattice models of interacting spinful fermions - BCS-like models, which exhibit continuous quantum phase transitions. The considered models originate from a…

Statistical Mechanics · Physics 2015-02-23 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii
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