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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

This work presents a three-dimensional constitutive model for shape memory alloys considering the TRansformation-Induced Plasticity (TRIP) as well as the Two-Way Shape Memory Effect (TWSME) through a large deformation framework. The…

Materials Science · Physics 2020-01-15 Lei Xu , Alexandros Solomou , Theocharis Baxevanis , Dimitris Lagoudas

Shape Memory Alloys (SMAs) has been widely aware of working as actuators for active/smart morphing structures in the engineering industry. Because of the high actuation energy density of SMAs, compared to other active materials, structures…

Materials Science · Physics 2020-01-16 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

This work presents a three-dimensional constitutive model for the martensitic transformation in polycrystalline Shape Memory Alloys (SMAs) under large deformation. By utilizing the logarithmic strain and rate, the model is able to account…

Materials Science · Physics 2019-09-04 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

Many engineering applications of Shape Memory Alloys (SMAs) involve passing back and forth through phase transformation many times. Repeated phase transformation develops permanent deformations originating from the significant distortion…

Materials Science · Physics 2018-12-20 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

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

A finite-strain formulation is developed, implemented and tested for a constitutive model capable of describing the transition from granular to fully dense state during cold forming of ceramic powder. This constitutive model (as well as…

Materials Science · Physics 2015-06-19 S. Stupkiewicz , A. Piccolroaz , D. Bigoni

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

Analysis of PDEs · Mathematics 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

We present a novel finite element analysis of inelastic structures containing Shape Memory Alloys (SMAs). Phenomenological constitutive models for SMAs lead to material nonlinearities, that require substantial computational effort to…

Computational Engineering, Finance, and Science · Computer Science 2022-01-05 Ziliang Kang , Daniel A. Tortorelli , Kai A. James

The behavior of shape memory alloy (SMA) nanostructures is influenced by strain rate and temperature evolution during dynamic loading. The coupling between temperature, strain and strain rate effects is essential to capture inherent…

Materials Science · Physics 2014-07-01 R. Dhote , H. Gomez , R. Melnik , J. Zu

Shape adaptive shape memory alloy hybrid composites (SMAHCs) are composites that incorporate shape memory alloys (SMAs) to realize shape transformation. Despite the availability of numerous analytical and finite element models for…

Applied Physics · Physics 2026-04-17 Lukas Handl , Max Kaiser , Miro Duhovic , Martin Gurka

This paper presents a comparative study between two micro-macro modeling approaches to simulate stress-induced martensitic transformation in shape memory alloys (SMA). One model is a crystal plasticity based model and the other describes…

Classical Physics · Physics 2019-06-20 Mame Fall , Etienne Patoor , Olivier Hubert , K Lavernhe -Taillard

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

Employing the Ginzburg-Landau phase-field theory, a new coupled dynamic thermo-mechanical 3D model has been proposed for modeling the cubic-to-tetragonal martensitic transformations in shape memory alloy (SMA) nanostructures. The…

Materials Science · Physics 2015-05-20 R. Dhote , H. Gomez , R. Melnik , J. Zu

Thermally-driven semi-crystalline polymer networks are capable to achieve both the one-way shape-memory effect and two-way shape-memory effect under stress and stress-free conditions, therefore representing an appealing class of polymers…

In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic phase transformations essential in the modelling of shape…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Linxiang X. Wang , Roderick V. N. Melnik

Amorphous elastomers exhibit significant rate-stiffening and unique viscous flow characteristics across a wide range of strain rates, often undergoing glass transition above a strain rate threshold. We have developed a…

Soft Condensed Matter · Physics 2026-05-26 Bibekananda Datta , Sushan Nakarmi , Nitin P. Daphalapurkar

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

We present a phase field-based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalised phase field description of fracture, incorporating multiple phase field…

Computational Engineering, Finance, and Science · Computer Science 2021-12-16 M. Simoes , C. Braithwaite , A. Makaya , E. Martínez-Pañeda

We give a method for modeling solid objects undergoing large spatially varying and/or anisotropic strains, and use it to reconstruct human anatomy from medical images. Our novel shape deformation method uses plastic strains and the Finite…

Graphics · Computer Science 2020-08-04 Bohan Wang , George Matcuk , Jernej Barbic
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