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An isotropic interaction potential for classical particles is devised in such a way that the crystalline ground state of the system changes discontinuously when some parameter of the potential is varied. Using this potential we model…

Statistical Mechanics · Physics 2015-05-13 M. F. Laguna , E. A. Jagla

We study a model of interacting particles in two dimensions to address the relation between crystal-crystal transformations and pressure-induced amorphization. On increasing pressure at very low temperature, our model undergoes a…

Materials Science · Physics 2009-11-11 S. Bustingorry , E. A. Jagla

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

Acoustic emission signals are known to exhibit a high degree of reproducibility in time and show correlations with the growth and shrinkage of martensite domains when athermal martensites are subjected to repeated thermal cycling in a…

Materials Science · Physics 2009-11-10 S. Sreekala , G. Ananthakrishna

We briefly introduce tweed, which is found above the martensitic transition in a variety of shape-memory, high-T_c, and other materials. Based on our previous mapping of the problem onto a spin-glass model, we conjecture that the two-way…

Disordered Systems and Neural Networks · Physics 2008-02-03 James P. Sethna , Christopher R. Myers

In a magnetic shape memory alloy system, we vary composition following phenomenological arguments to tune macroscopic properties. We achieve significantly higher shift in austenite to martensitic phase transition temperature with magnetic…

Strongly Correlated Electrons · Physics 2011-06-09 A. Banerjee , S. Dash , Archana Lakhani , P. Chaddah , X. Chen , R. V. Ramanujan

We report a detailed numerical investigation of a recently introduced two dimensional model for square-to-rectangle martensitic transformation that explains several unusual features of the martensitic transformation. This model includes…

Materials Science · Physics 2007-05-23 S. Sreekala , Rajeev Ahluwalia , G. Ananthakrishna

Using a modified Lennard-Jones model for elliptic particles and spherical impurities, we present results of molecular dynamics simulation in two dimensions. In one-component systems of elliptic particles, we find an orientation phase…

Soft Condensed Matter · Physics 2012-03-13 Kyohei Takae , Akira Onuki

Using a modified Lennard-Jones model for anisotropic particles, we present results of molecular dynamics simulation in two dimensions. In one-component systems, we find crystallization, a Berezinskii-Kosterlitz-Thouless phase, and a…

Soft Condensed Matter · Physics 2011-12-23 Kyohei Takae , Akira Onuki

Shape memory alloys inherit their macroscopic properties from their mesoscale microstructure originated from the martensitic phase transformation. In a cubic to orthorhombic transition, a single variant of marten- site can have a compatible…

Materials Science · Physics 2020-09-23 Oguz Umut Salman , Alphonse Finel , Remi Delville , Dominique Schryvers

We consider a recently introduced 2-D square-to-rectangle martensite model that explains several unusual features of martensites to study ferromagnetic martensites. The strain order parameter is coupled to the magnetic order parameter…

Materials Science · Physics 2016-08-31 S. Sreekala , G. Ananthakrishna

The shape memory behavior of a NiTi nanoparticle is analyzed by molecular dynamics simulations. After a detailed description of the equilibrium structures of the used model potential, the multi variant martensitic ground state, which…

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

Phase-field simulations of the martensitic transformation (MT) in the austenitic matrix, which has already undergone the plastic deformation, are carried out. For this purpose the elasto-plastic phase-field approach of incoherent MT…

Materials Science · Physics 2014-03-12 Julia Kundin , Evgeny Pogorelov , Heike Emmerich

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 the branching of twins appearing in shape memory alloys at the interface between austenite and martensite. In the framework of three-dimensional non-linear elasticity theory, we propose an explicit, low-energy construction of the…

Materials Science · Physics 2020-05-20 Hanus Seiner , Paul Plucinsky , Vivekanand Dabade , Barbora Benesova , Richard D. James

We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

The phenomenological theory of martensite crystallography (PTMC) developed in the 1950s explains the main crystallographic and microstructural features of martensite in shape memory alloys, such as the habit planes of bi-variant laminate…

Materials Science · Physics 2026-01-27 Cyril Cayron

Diffusionless phase transitions are at the core of the multifunctionality of (magnetic) shape memory alloys, ferroelectrics and multiferroics. Giant strain effects under external fields are obtained in low symmetric modulated martensitic…

A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along…

Materials Science · Physics 2011-08-01 D. Grandi , M. Maraldi , L. Molari

Shape memory alloys are a class of ferroic materials which undergo a structural (martensitic) transition where the associated ferroic property is a lattice distortion (strain). The sensitiveness of the transition to the conjugated external…

Materials Science · Physics 2016-09-28 Lluis Manosa , Antoni Planes
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