Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State

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UREVC, Janez ;BRUMEN, Milan ;FLIS, Vojko ;ŠTOK, Boris .
Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 61, n.1, p. 5-23, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/>. Date accessed: 06 jul. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2014.2061.
Urevc, J., Brumen, M., Flis, V., & Štok, B.
(2015).
Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State.
Strojniški vestnik - Journal of Mechanical Engineering, 61(1), 5-23.
doi:http://dx.doi.org/10.5545/sv-jme.2014.2061
@article{sv-jmesv-jme.2014.2061,
	author = {Janez  Urevc and Milan  Brumen and Vojko  Flis and Boris  Štok},
	title = {Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {61},
	number = {1},
	year = {2015},
	keywords = {residual stresses; zero-stress state of arteries; finite element method; thermomechanics},
	abstract = {The prediction of the arterial zero-stress state is as of yet an unresolved problem in the field of modelling the mechanical response of patientspecific arteries. This is because the configuration associated with arterial zero-stress state is impossible to obtain experimentally. However, the zero-stress configuration (or, equivalently, the residual stresses related to this configuration) represents the crucial data of any numerical analysis. In this study, the mechanical response of a pre-stressed, pressurised, hyperelastic tube (representing the artery) is determined without knowing the initial zero-stress configuration of the artery. Instead, to predict the arterial residual (bending and stretching) stresses, a corresponding thermomechanical analogy is used. As shown in the paper, the arterial residual stress state can equally be obtained by thermally loading a properly defined closed tube. Thus, based on the loaded state of the corresponding thermomechanical model, the arterial residual stress sate is constructed, from where the arterial loaded state can be obtained. The initial configuration of the thermomechanical model is defined on the basis of the arterial loaded configuration. The methodology is validated by predicting the zero-stress state of the artery. The predicted equilibrium state of the artery, when cut longitudinally and transversally, has the form of an opened-up tube with a relatively low stress state in comparison to the arterial residual stresses. The results thus demonstrate that arterial residual stresses that are predicted with the corresponding thermomechanical model exhibited the bending distribution, which proves the methodology to be adequate.},
	issn = {0039-2480},	pages = {5-23},	doi = {10.5545/sv-jme.2014.2061},
	url = {https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/}
}
Urevc, J.,Brumen, M.,Flis, V.,Štok, B.
2015 June 61. Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 61:1
%A Urevc, Janez 
%A Brumen, Milan 
%A Flis, Vojko 
%A Štok, Boris 
%D 2015
%T Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State
%B 2015
%9 residual stresses; zero-stress state of arteries; finite element method; thermomechanics
%! Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State
%K residual stresses; zero-stress state of arteries; finite element method; thermomechanics
%X The prediction of the arterial zero-stress state is as of yet an unresolved problem in the field of modelling the mechanical response of patientspecific arteries. This is because the configuration associated with arterial zero-stress state is impossible to obtain experimentally. However, the zero-stress configuration (or, equivalently, the residual stresses related to this configuration) represents the crucial data of any numerical analysis. In this study, the mechanical response of a pre-stressed, pressurised, hyperelastic tube (representing the artery) is determined without knowing the initial zero-stress configuration of the artery. Instead, to predict the arterial residual (bending and stretching) stresses, a corresponding thermomechanical analogy is used. As shown in the paper, the arterial residual stress state can equally be obtained by thermally loading a properly defined closed tube. Thus, based on the loaded state of the corresponding thermomechanical model, the arterial residual stress sate is constructed, from where the arterial loaded state can be obtained. The initial configuration of the thermomechanical model is defined on the basis of the arterial loaded configuration. The methodology is validated by predicting the zero-stress state of the artery. The predicted equilibrium state of the artery, when cut longitudinally and transversally, has the form of an opened-up tube with a relatively low stress state in comparison to the arterial residual stresses. The results thus demonstrate that arterial residual stresses that are predicted with the corresponding thermomechanical model exhibited the bending distribution, which proves the methodology to be adequate.
%U https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/
%0 Journal Article
%R 10.5545/sv-jme.2014.2061
%& 5
%P 19
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 61
%N 1
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Urevc, Janez, Milan  Brumen, Vojko  Flis, & Boris  Štok.
"Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State." Strojniški vestnik - Journal of Mechanical Engineering [Online], 61.1 (2015): 5-23. Web.  06 Jul. 2020
TY  - JOUR
AU  - Urevc, Janez 
AU  - Brumen, Milan 
AU  - Flis, Vojko 
AU  - Štok, Boris 
PY  - 2015
TI  - Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.2061
KW  - residual stresses; zero-stress state of arteries; finite element method; thermomechanics
N2  - The prediction of the arterial zero-stress state is as of yet an unresolved problem in the field of modelling the mechanical response of patientspecific arteries. This is because the configuration associated with arterial zero-stress state is impossible to obtain experimentally. However, the zero-stress configuration (or, equivalently, the residual stresses related to this configuration) represents the crucial data of any numerical analysis. In this study, the mechanical response of a pre-stressed, pressurised, hyperelastic tube (representing the artery) is determined without knowing the initial zero-stress configuration of the artery. Instead, to predict the arterial residual (bending and stretching) stresses, a corresponding thermomechanical analogy is used. As shown in the paper, the arterial residual stress state can equally be obtained by thermally loading a properly defined closed tube. Thus, based on the loaded state of the corresponding thermomechanical model, the arterial residual stress sate is constructed, from where the arterial loaded state can be obtained. The initial configuration of the thermomechanical model is defined on the basis of the arterial loaded configuration. The methodology is validated by predicting the zero-stress state of the artery. The predicted equilibrium state of the artery, when cut longitudinally and transversally, has the form of an opened-up tube with a relatively low stress state in comparison to the arterial residual stresses. The results thus demonstrate that arterial residual stresses that are predicted with the corresponding thermomechanical model exhibited the bending distribution, which proves the methodology to be adequate.
UR  - https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/
@article{{sv-jme}{sv-jme.2014.2061},
	author = {Urevc, J., Brumen, M., Flis, V., Štok, B.},
	title = {Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {61},
	number = {1},
	year = {2015},
	doi = {10.5545/sv-jme.2014.2061},
	url = {https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/}
}
TY  - JOUR
AU  - Urevc, Janez 
AU  - Brumen, Milan 
AU  - Flis, Vojko 
AU  - Štok, Boris 
PY  - 2018/06/27
TI  - Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 61, No 1 (2015): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.2061
KW  - residual stresses, zero-stress state of arteries, finite element method, thermomechanics
N2  - The prediction of the arterial zero-stress state is as of yet an unresolved problem in the field of modelling the mechanical response of patientspecific arteries. This is because the configuration associated with arterial zero-stress state is impossible to obtain experimentally. However, the zero-stress configuration (or, equivalently, the residual stresses related to this configuration) represents the crucial data of any numerical analysis. In this study, the mechanical response of a pre-stressed, pressurised, hyperelastic tube (representing the artery) is determined without knowing the initial zero-stress configuration of the artery. Instead, to predict the arterial residual (bending and stretching) stresses, a corresponding thermomechanical analogy is used. As shown in the paper, the arterial residual stress state can equally be obtained by thermally loading a properly defined closed tube. Thus, based on the loaded state of the corresponding thermomechanical model, the arterial residual stress sate is constructed, from where the arterial loaded state can be obtained. The initial configuration of the thermomechanical model is defined on the basis of the arterial loaded configuration. The methodology is validated by predicting the zero-stress state of the artery. The predicted equilibrium state of the artery, when cut longitudinally and transversally, has the form of an opened-up tube with a relatively low stress state in comparison to the arterial residual stresses. The results thus demonstrate that arterial residual stresses that are predicted with the corresponding thermomechanical model exhibited the bending distribution, which proves the methodology to be adequate.
UR  - https://www.sv-jme.eu/sl/article/applying-thermomechanical-analogy-to-predict-the-arterial-residual-stress-state/
Urevc, Janez, Brumen, Milan, Flis, Vojko, AND Štok, Boris.
"Applying Thermomechanical Analogy to Predict the Arterial Residual Stress State" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 61 Number 1 (27 June 2018)

Avtorji

Inštitucije

  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia 1
  • University of Maribor, Faculty of Medicine, Slovenia 2
  • University Medical Centre Maribor, Department of Vascular Surgery, Slovenia 3

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 61(2015)1, 5-23

https://doi.org/10.5545/sv-jme.2014.2061

The prediction of the arterial zero-stress state is as of yet an unresolved problem in the field of modelling the mechanical response of patientspecific arteries. This is because the configuration associated with arterial zero-stress state is impossible to obtain experimentally. However, the zero-stress configuration (or, equivalently, the residual stresses related to this configuration) represents the crucial data of any numerical analysis. In this study, the mechanical response of a pre-stressed, pressurised, hyperelastic tube (representing the artery) is determined without knowing the initial zero-stress configuration of the artery. Instead, to predict the arterial residual (bending and stretching) stresses, a corresponding thermomechanical analogy is used. As shown in the paper, the arterial residual stress state can equally be obtained by thermally loading a properly defined closed tube. Thus, based on the loaded state of the corresponding thermomechanical model, the arterial residual stress sate is constructed, from where the arterial loaded state can be obtained. The initial configuration of the thermomechanical model is defined on the basis of the arterial loaded configuration. The methodology is validated by predicting the zero-stress state of the artery. The predicted equilibrium state of the artery, when cut longitudinally and transversally, has the form of an opened-up tube with a relatively low stress state in comparison to the arterial residual stresses. The results thus demonstrate that arterial residual stresses that are predicted with the corresponding thermomechanical model exhibited the bending distribution, which proves the methodology to be adequate.

residual stresses; zero-stress state of arteries; finite element method; thermomechanics