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The paper is devoted to the study of a mathematical model for the thermomechanical evolution of metallic shape memory alloys. The main novelty of our approach consists in the fact that we include the possibility for these materials to…

Analysis of PDEs · Mathematics 2014-01-10 Michel Fremond , Elisabetta Rocca

We propose a simple yet effective method which allows one to attain large reversible shape changes in shape memory bimetallic composites without training procedure. It is based on the conservation of strongly anisotropic martensite…

Materials Science · Physics 2008-06-10 V. Khovaylo , V. Koledov , E. Perov , V. Shavrov , G. Lebedev , D. Zakharov , M. Ohtsuka , V. Pushin , H. Miki , T. Takagi

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

Present work reports on the observation of multiple magnetic transitions in a Ni-excess ferromagnetic shape memory alloy with nominal composition Ni$_{2.048}$Mn$_{1.312}$In$_{0.64}$. The magnetization data reveal two distinct thermal…

Materials Science · Physics 2016-02-17 S. Pramanick , P. Dutta , S. Chatterjee , S. Giri , S. Majumdar

The martensitic start temperature ($M_{\text{s}}$) is a technologically fundamental characteristic of high-temperature shape memory alloys. We have recently shown [Phys. Rev. B 94, 224104 (2016)] that the two key features in describing the…

Materials Science · Physics 2020-12-30 Tanmoy Chakraborty , Jutta Rogal

We use the phase-field method to study the martensitic transformation at the nanoscale. For nanosystems such as nanowires and nanograins embedded in a stiff matrix, the geometric constraints and boundary conditions have an impact on…

Materials Science · Physics 2008-07-23 Mathieu Bouville , Rajeev Ahluwalia

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

By means of molecular-dynamics simulations, temperature driven diffusionless structural phase transitions in equi- and nearly equiatomic ordered nickel-titanium alloys were investigated. For this purpose, a model potential from the…

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

Titanium-based shape memory alloys, such as Ti2448, have attracted enormous attention owing to their unique thermomechanical properties and potential biomedical applications. In this study, we develop a polycrystalline phase field to…

Materials Science · Physics 2021-03-02 Jiawei Mai , Yuquan Zhu , Tao Xu , Tong-Yi Zhang

Tailoring the thermal expansion of martensitic materials by crystallographic texture and anisotropic variation of lattice parameters is a promising route to a flexible design of thermally stable systems. NiTi alloys are prototype materials…

The fascinating multiple magnetic states observed in the Ni-Mn-Sn based metamagnetic shape memory alloy are addressed through a combined muon spin relaxation (muSR) and neutron powder diffraction studies. The material used in the present…

Strongly Correlated Electrons · Physics 2019-06-12 J. Sannigrahi , S. Pramanick , S. Chatterjee , J. S. Lord , D. Khalyavin , A. D. Hillier , D. T. Adroja , S. Majumdar

Stress-induced martensitic transformations enable metastable alloys to exhibit enhanced strain hardening capacity, leading to improved formability and toughness. As is well-known from transformation-induced plasticity (TRIP) steels,…

Neutron diffraction measurements, performed in presence of an external magnetic field, have been used to show structural evidence for the kinetic arrest of the first-order phase transition from the high temperature austenite phase to the…

Stimulus-responsive shape memory materials have attracted tremendous research interests recently, with much effort focused on improving their mechanical actuation. Driven by the needs of nanoelectromechnical devices, materials with large…

In this paper, we present temperature and field dependent neutron diffraction (ND) study to unravel the structural and the magnetic properties in Ni50Mn38Sb12 Heusler system. This alloy shows martensitic transition from high temperature…

Materials Science · Physics 2017-02-06 Roshnee Sahoo , Amitabh Das , Norbert Stuesser , K. G. Suresh

The residual stress greatly affects the mechanical behavior of a material. In this work, the effect of residual stress on the isothermal tensile behavior of a NiTi shape memory alloy is studied. The focused ion beam and digital image…

Materials Science · Physics 2024-09-23 Kai Yan , Pengbo Wei , Weifeng He , Qingping Sun

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

Nickel-titanium that has an austenite to martensite phase transition has been studied extensively in the past as a shape memory alloy, but a lot remains to be learned from such phase transitions. However, single crystals are needed for a…

Superelastic NiTi 1 shape memory alloy (SMA) wire was subjected to thermomechanical loading tests in tension to evaluate stress and temperature conditions under which the wire deforms plastically. Although the alloy demonstrated a very high…

Materials Science · Physics 2024-06-24 P. Šittner , E. Iaparova , O. Molnárová , O. Tyc , X. Bian , L. Kadeřávek , L. Heller

We analyze generic sequences for which the geometrically linear energy \[E_\eta(u,\chi):= \eta^{-\frac{2}{3}}\int_{B_{0}(1)} \left| e(u)- \sum_{i=1}^3 \chi_ie_i\right|^2 d x+\eta^\frac{1}{3} \sum_{i=1}^3 |D\chi_i|(B_{0}(1))\] remains…

Analysis of PDEs · Mathematics 2017-10-24 Thilo Simon
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