Three dimensional modeling and a simulation of the shape memory effect

The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be...

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Main Authors: Meddour Belkacem, Hamma Zedira, Hamid Djebaili
Format: Article
Language:English
Published: Military Technical Institute, Belgrade 2014-01-01
Series:Scientific Technical Review
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1820-0206/2014/1820-02061403010M.pdf
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spelling doaj-d039b3196f3d421bb55e9960d0f7fcac2021-03-23T12:06:25ZengMilitary Technical Institute, BelgradeScientific Technical Review1820-02062683-57702014-01-0164310161820-02061403010MThree dimensional modeling and a simulation of the shape memory effectMeddour Belkacem0Hamma Zedira1Hamid Djebaili2University of Batna, Department of Mechanical Engineering, AlgeriaUniversity Abbas Laghrour, Labo LaSPIA Department of Mechanical Engineering, Khenchela, AlgeriaUniversity Abbas Laghrour, Labo LaSPIA Department of Mechanical Engineering, Khenchela, AlgeriaThe paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The main finding of this paper is that the proposed constitutive model can be used to simulate the shape memory effect.https://scindeks-clanci.ceon.rs/data/pdf/1820-0206/2014/1820-02061403010M.pdfmartensitethermomechanical loadmodellingfractionshape memory effectprocess simulationexperimental results
collection DOAJ
language English
format Article
sources DOAJ
author Meddour Belkacem
Hamma Zedira
Hamid Djebaili
spellingShingle Meddour Belkacem
Hamma Zedira
Hamid Djebaili
Three dimensional modeling and a simulation of the shape memory effect
Scientific Technical Review
martensite
thermomechanical load
modelling
fraction
shape memory effect
process simulation
experimental results
author_facet Meddour Belkacem
Hamma Zedira
Hamid Djebaili
author_sort Meddour Belkacem
title Three dimensional modeling and a simulation of the shape memory effect
title_short Three dimensional modeling and a simulation of the shape memory effect
title_full Three dimensional modeling and a simulation of the shape memory effect
title_fullStr Three dimensional modeling and a simulation of the shape memory effect
title_full_unstemmed Three dimensional modeling and a simulation of the shape memory effect
title_sort three dimensional modeling and a simulation of the shape memory effect
publisher Military Technical Institute, Belgrade
series Scientific Technical Review
issn 1820-0206
2683-5770
publishDate 2014-01-01
description The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The main finding of this paper is that the proposed constitutive model can be used to simulate the shape memory effect.
topic martensite
thermomechanical load
modelling
fraction
shape memory effect
process simulation
experimental results
url https://scindeks-clanci.ceon.rs/data/pdf/1820-0206/2014/1820-02061403010M.pdf
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