scholarly journals Existence of Solutions for a Mathematical Model Related to Solid–Solid Phase Transitions in Shape Memory Alloys

2015 ◽  
Vol 219 (1) ◽  
pp. 203-254 ◽  
Author(s):  
Elena Bonetti ◽  
Pierluigi Colli ◽  
Mauro Fabrizio ◽  
Gianni Gilardi
Keyword(s):  
Mathematical Model ◽  
Phase Transitions ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Existence Of Solutions ◽  
Solid Phase

scholarly journals Phase-transforming metamaterial with magnetic interactions

2022 ◽  
Vol 119 (1) ◽  
pp. e2118161119
Author(s):  
Xudong Liang ◽  
Hongbo Fu ◽  
Alfred J. Crosby
Keyword(s):  
Phase Transformation ◽  
Phase Transitions ◽  
Liquid Crystal ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Material Properties ◽  
Solid Phase ◽  
Energy Transduction ◽  
Magnetic Interactions ◽  
Liquid Crystal Elastomers

Solid–solid phase transformations can affect energy transduction and change material properties (e.g., superelasticity in shape memory alloys and soft elasticity in liquid crystal elastomers). Traditionally, phase-transforming materials are based on atomic- or molecular-level thermodynamic and kinetic mechanisms. Here, we develop elasto-magnetic metamaterials that display phase transformation behaviors due to nonlinear interactions between internal elastic structures and embedded, macroscale magnetic domains. These phase transitions, similar to those in shape memory alloys and liquid crystal elastomers, have beneficial changes in strain state and mechanical properties that can drive actuations and manage overall energy transduction. The constitutive response of the elasto-magnetic metamaterial changes as the phase transitions occur, resulting in a nonmonotonic stress–strain relation that can be harnessed to enhance or mitigate energy storage and release under high–strain-rate events, such as impulsive recoil and impact. Using a Landau free energy–based predictive model, we develop a quantitative phase map that relates the geometry and magnetic interactions to the phase transformation. Our work demonstrates how controllable phase transitions in metamaterials offer performance capabilities in energy management and programmable material properties for high-rate applications.

Systems Actuated by Shape Memory Alloys: Identification and Modeling

2021 ◽  
Vol 1 (2) ◽  
pp. 12-20
Author(s):  
Najmeh Keshtkar ◽  
Johannes Mersch ◽  
Konrad Katzer ◽  
Felix Lohse ◽  
Lars Natkowski ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Numerical Simulations ◽  
Shape Memory ◽  
Transfer Equation ◽  
Mechanical Parameters ◽  
Heat Transfer Equation ◽  
The Mathematical Model

This paper presents the identification of thermal and mechanical parameters of shape memory alloys by using the heat transfer equation and a constitutive model. The identified parameters are then used to describe the mathematical model of a fiber-elastomer composite embedded with shape memory alloys. To verify the validity of the obtained equations, numerical simulations of the SMA temperature and composite bending are carried out and compared with the experimental results.

Structural and magnetic phase transitions in shape memory alloys Ni2 + XMn1 −XGa

1999 ◽  
Vol 196-197 ◽  
pp. 837-839 ◽  
Author(s):  
A. Vasil'ev ◽  
A. Bozhko ◽  
V. Khovailo ◽  
I. Dikshtein ◽  
V. Shavrov ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Magnetic Phase ◽  
Magnetic Phase Transitions
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