Theoretical and numerical modeling of shape memory alloys accounting for multiple phase transformations and martensite reorientation

F Auricchio, E Bonetti, G Scalet, F Ubertini - International Journal of …, 2014 - Elsevier
The present paper develops a refined and general three-dimensional phenomenological
constitutive model for shape memory alloys (SMAs), along the lines of what recently …

A robust and efficient radial return algorithm based on incremental energy minimization for the 3D Souza-Auricchio model for shape memory alloys

G Scalet, M Peigney - European Journal of Mechanics-A/Solids, 2017 - Elsevier
The present paper focuses on the numerical simulation of quasi-static problems involving
shape memory alloy (SMA) structures or components. Phenomenological constitutive …

On shakedown of shape memory alloys structures

M Peigney - Annals of Solid and Structural Mechanics, 2014 - Springer
This paper is concerned with the large-time behaviour of shape-memory alloys structures
when they are submitted to a given loading history. Extending the approach introduced by …

A micromechanically consistent energy estimate for polycrystalline shape-memory alloys. I-General formulation

M Peigney - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
We present an estimate for the effective energy of polycrystalline shape memory alloys that
takes both intra-grain compatibility conditions and inter-grain constraints into account. That …

Shakedown theorems for shape memory alloys structures with functional fatigue—Application to nitinol stents

M Peigney - International Journal of Solids and Structures, 2023 - Elsevier
Shape memory alloys (SMAs) offer interesting perspectives in various fields such as
aeronautics, robotics, biomedical sciences, or structural engineering. The distinctive …

Shakedown theorems and asymptotic behaviour of solids in non-smooth mechanics

M Peigney - European Journal of Mechanics-A/Solids, 2010 - Elsevier
Non-smooth mechanics is concerned with systems for which constraints are imposed on the
physical quantities or their time derivatives. This article addresses the asymptotic behaviour …

[HTML][HTML] An incremental variational approach to coupled thermo-mechanical problems in anelastic solids. Application to shape-memory alloys

M Peigney, JP Seguin - International Journal of Solids and Structures, 2013 - Elsevier
We study the coupled thermo-mechanical problem that is obtained by combining
generalized standard materials with Fourier's law for heat conduction. The analysis is …

A time integration algorithm for a 3D constitutive model for SMAs including permanent inelasticity and degradation effects

M Peigney, G Scalet, F Auricchio - International Journal for …, 2018 - Wiley Online Library
Components based on shape‐memory alloys are often subjected to several loading cycles
that result in substantial alteration of material behavior. In such a framework, accurate …

Micromechanical modeling of NiTi shape memory alloys including austenite, R-phase, and martensite

R Heinen, S Miro - Computer methods in applied mechanics and …, 2012 - Elsevier
The special features in the material behavior of shape memory alloys (SMAs) are due to
their ability to spontaneously transform between different crystallographic phases. In order to …

A direct method for cyclic crystal plasticity with application to high-cycle fatigue

I Echerradi, D Weisz-Patrault, M Peigney - Direct Methods for Limit State of …, 2023 - Springer
The prediction of fatigue in materials and structures is usually based on experimental
Wohler curves, relating the number of cycles to failure to the amplitude of the applied cyclic …