Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops

The article presents a constitutive model for Shape Memory Alloys (SMA) along with result of dynamic simulations of SMA model. The applications of devices incorporating SMA in civil engineering focus mostly on mitigation of the seismic hazard effects in new-build and historical buildings or improvem...

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Main Authors: Zbiciak A., Wasilewski K.
Format: Article
Language:English
Published: Polish Academy of Sciences 2018-12-01
Series:Archives of Civil Engineering
Subjects:
Online Access:http://www.degruyter.com/view/j/ace.2018.64.issue-4/ace-2018-0053/ace-2018-0053.xml?format=INT
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author Zbiciak A.
Wasilewski K.
author_facet Zbiciak A.
Wasilewski K.
author_sort Zbiciak A.
collection DOAJ
description The article presents a constitutive model for Shape Memory Alloys (SMA) along with result of dynamic simulations of SMA model. The applications of devices incorporating SMA in civil engineering focus mostly on mitigation of the seismic hazard effects in new-build and historical buildings or improvement of fatigue resilience. The unique properties of SMA, such as shape memory effect and superelasticity give promising results for such applications. The presented model includes additional phenomenon of SMA – internal loops. The paper shows the method of formulation of physical relations of SMA based on special rheological structure, which includes modified Kepes’s model. This rheological element, introduced as dual-phase plasticity body, is given in the context of martensite phase transformation. One of the advantages of such an approach is a possibility of formulation of constitutive relationships as a set of explicit differential equations. The application of the model is demonstrated on example of dynamic simulations of three dimensional finite element subjected to dynamic excitation.
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spelling doaj.art-645eb95bb8e0436d922101bef88c54322022-12-22T02:30:37ZengPolish Academy of SciencesArchives of Civil Engineering1230-29452018-12-0164421123210.2478/ace-2018-0053ace-2018-0053Constitutive Modelling and Numerical Implementation of SMA Material with Internal LoopsZbiciak A.0Wasilewski K.1PhD., DSc., Warsaw University of Technology, Faculty of Civil Engineering, ul. Lecha Kaczyńskiego 16, 00-637 Warsaw, PolandMSc., Warsaw University of Technology, Faculty of Civil Engineering, ul. Lecha Kaczyńskiego 16, 00-637 Warsaw, PolandThe article presents a constitutive model for Shape Memory Alloys (SMA) along with result of dynamic simulations of SMA model. The applications of devices incorporating SMA in civil engineering focus mostly on mitigation of the seismic hazard effects in new-build and historical buildings or improvement of fatigue resilience. The unique properties of SMA, such as shape memory effect and superelasticity give promising results for such applications. The presented model includes additional phenomenon of SMA – internal loops. The paper shows the method of formulation of physical relations of SMA based on special rheological structure, which includes modified Kepes’s model. This rheological element, introduced as dual-phase plasticity body, is given in the context of martensite phase transformation. One of the advantages of such an approach is a possibility of formulation of constitutive relationships as a set of explicit differential equations. The application of the model is demonstrated on example of dynamic simulations of three dimensional finite element subjected to dynamic excitation.http://www.degruyter.com/view/j/ace.2018.64.issue-4/ace-2018-0053/ace-2018-0053.xml?format=INTShape Memory AlloysRheological modelDynamic simulation
spellingShingle Zbiciak A.
Wasilewski K.
Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
Archives of Civil Engineering
Shape Memory Alloys
Rheological model
Dynamic simulation
title Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
title_full Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
title_fullStr Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
title_full_unstemmed Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
title_short Constitutive Modelling and Numerical Implementation of SMA Material with Internal Loops
title_sort constitutive modelling and numerical implementation of sma material with internal loops
topic Shape Memory Alloys
Rheological model
Dynamic simulation
url http://www.degruyter.com/view/j/ace.2018.64.issue-4/ace-2018-0053/ace-2018-0053.xml?format=INT
work_keys_str_mv AT zbiciaka constitutivemodellingandnumericalimplementationofsmamaterialwithinternalloops
AT wasilewskik constitutivemodellingandnumericalimplementationofsmamaterialwithinternalloops