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Shape memory alloys (SMAs) have been intensively investigated as actuators for the past several decades. Due to their high actuation energy density compared to other active materials, their current and potential applications in engineering…

Materials Science · Physics 2018-12-31 Lei Xu , Alexandros Solomou , Dimitris Lagoudas

Shape memory effect associated with martensitic transformations is of the rapidly developing field in nanotechnologies, where industrial use of systems established on that effect provide greater flexibility on the nano-devices fabrication…

A fundamental question in the study of ferromagnetic shap ememory alloys is the nature of magnetoelastic coupling and the extent it drives the structural transformation. This question also holds the key to developing new and optimized…

Materials Science · Physics 2007-05-23 Matthew R. Suillivan , Ashish A. Shah , Harsh Deep Chopra

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

We present a new phase field framework for modelling fracture and fatigue in Shape Memory Alloys (SMAs). The constitutive model captures the superelastic behaviour of SMAs and damage is driven by the elastic and transformation strain energy…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Marlini Simoes , Emilio Martínez-Pañeda

We have developed a simple model for the study of a cubic to tetragonal martensitic transition, under athermal conditions, in systems with a certain amount of disorder. We have performed numerical simulations that allow for a statistical…

Statistical Mechanics · Physics 2015-05-13 B. Cerruti , E. Vives

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

Shape Memory Alloys (SMAs) are materials with the ability to recover apparently permanent deformation under specific thermomechanical loading. The majority of constitutive models for SMAs are developed based on the infinitesimal strain…

Materials Science · Physics 2018-12-17 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

We propose a novel variational phase-field model for fracture and fatigue in pseudoelastic shape memory alloys (SMAs). The model, developed in a one-dimensional setting, builds upon the Auricchio-Petrini constitutive formulation for SMAs…

Applied Physics · Physics 2026-05-28 Alma Brambilla , Laura De Lorenzis , Lorenza Petrini

In this work, a thermo-mechanical model that predicts the actuation response of shape memory alloys is probabilistically calibrated against three experimental data sets simultaneously. Before calibration, a design of experiments (DOE) has…

Applications · Statistics 2019-05-22 Pejman Honarmandi , Alex Solomou , Raymundo Arroyave , Dimitris Lagoudas

We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within the framework of nonlinear elasticity theory. We focus on the prototypical case of the square-hexagonal transition in…

Materials Science · Physics 2025-05-23 Edoardo Arbib , Noemi Barrera , Paolo Biscari , Giovanni Zanzotto

Scale-free phase-field approach (PFA) at large strains and corresponding finite element method (FEM) simulations for multivariant martensitic phase transformation (PT) from cubic Si I to tetragonal Si II in a polycrystalline aggregate are…

Materials Science · Physics 2023-02-14 Hamed Babaei , Raghunandan Pratoori , Valery I. Levitas

A thermodynamically consistent multiphase phase-field approach for stress and temperature-induced martensitic phase transformation at the nanoscale and under large strains is developed. A total of N independent order parameters are…

Materials Science · Physics 2023-01-25 Anup Basak , Valery I. Levitas

The partially overlapped ferroelastic/martensitic and para-ferromagnetic phase transitions of a Ni$_{50.53}$Mn${33.65}$In$_{15.82}$ metamagnetic shape memory alloy have been studied from calorimetric, magnetic and acoustic emission…

The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic…

Materials Science · Physics 2025-04-24 M. Frost , B. Benešová , H. Seiner , M. Kružík , P. Šittner , P. Sedlák

Polycrystalline Ni-Co-Mn-Sn based ferromagnetic shape memory alloys (FSMAs) show promise as actuator materials, but their practical application involving magnetic field induced strain (MFIS) is often limited by three factors: the…

Materials Science · Physics 2024-06-25 Sudip Kumar Sarkar , P. D. Babu , V. K. Sharma , S. D. Kaushik , Srikanta Goswami , M. A. Manekar

We study experimentally the intermittent progress of the mechanically induced martensitic transformation in a Cu-Al-Be single crystal through a full-field measurement technique: the grid method. We utilize an in- house, specially designed…

Materials Science · Physics 2015-08-04 Xavier Balandraud , Noemi Barrera , Paolo Biscari , Michel Grédiac , Giovanni Zanzotto

The large magnetocaloric effect (MCE) observed in Ni-Mn based shape-memory Heusler alloys put them forward to use in magnetic refrigeration technology. It is associated with a first-order magnetostructural (martensitic) phase transition. We…

Materials Science · Physics 2020-04-03 P. Devi , M. Ghorbani Zavareh , C. Salazar Mejia , K. Hofmann , B. Albert , C. Felser , M. Nicklas , Sanjay Singh

This study addresses microstructure selection mechanisms in rapid solidification, specifically targeting the transition from cellular/dendritic to planar interface morphologies under conditions relevant to additive manufacturing. We use a…

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