On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings

Mathieu Nierenberger, Yves Rémond, Said Ahzi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Medical surgery is currently rapidly improving and requires modeling faithfully the mechanical behavior of soft tissues. Various models exist in literature; some of them created for the study of biological materials, and others coming from the field of rubber mechanics. Indeed biological tissues show a mechanical behavior close to the one of rubbers. But while building a model, one has to keep in mind that its parameters should be loading independent and that the model should be able to predict the behavior under complex loading conditions. In addition, keeping physical parameters seems interesting since it allows a bottom up approach taking into account the microstructure of the material. In this study, the authors consider different existing hyperelastic models based on strain energy functions and identify their coefficients successively on single loading stress-stretch curves. The experimental data used, come from a paper by Zemanek dated 2009 and concerning uniaxial, equibiaxial and plane tension tests on porcine arterial walls taken in identical experimental conditions. To achieve identification, the strain energy function of each model is derived differently to provide an expression of the Cauchy stress associated to each loading case. Firstly the parameters of each model are identified on the uniaxial tension curve using a least squares method. Then, keeping the obtained parameters, predictions are made for the two other loading cases (equibiaxial and plane tension) using the associated expressions of stresses. A comparison of these predictions with experimental data is done and allows evaluating the predictive capabilities of each model for the different loading cases. A similar approach is used after swapping the loading types. Since the predictive capabilities of the models are really dependent on the loading chosen to determine their parameters, another type of identification procedure is set up. It consists in adding the residues over the three loading cases during identification. This alternative identification method allows a better agreement between each model and the various types of experiments. This study evaluated the ability of some classical hyperelastic models to be used for a predictive scope after being identified on a specific loading type. Besides it brought to light some existing models which can describe at best the mechanical behavior of biological tissues submitted to various loadings.

Original languageEnglish
Title of host publicationASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012
Pages267-270
Number of pages4
Volume4
DOIs
Publication statusPublished - 2012
Externally publishedYes
EventASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012 - Nantes
Duration: 2 Jul 20124 Jul 2012

Other

OtherASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012
CityNantes
Period2/7/124/7/12

Fingerprint

Tissue
Strain energy
Identification (control systems)
Rubber
Biological materials
Surgery
Mechanics
Microstructure

Keywords

  • Hyperelastic modeling
  • Mechanical properties
  • Multiaxial
  • Porcine arterial wall
  • Soft tissue

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering

Cite this

Nierenberger, M., Rémond, Y., & Ahzi, S. (2012). On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings. In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012 (Vol. 4, pp. 267-270) https://doi.org/10.1115/ESDA2012-82458

On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings. / Nierenberger, Mathieu; Rémond, Yves; Ahzi, Said.

ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012. Vol. 4 2012. p. 267-270.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nierenberger, M, Rémond, Y & Ahzi, S 2012, On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings. in ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012. vol. 4, pp. 267-270, ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012, Nantes, 2/7/12. https://doi.org/10.1115/ESDA2012-82458
Nierenberger M, Rémond Y, Ahzi S. On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings. In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012. Vol. 4. 2012. p. 267-270 https://doi.org/10.1115/ESDA2012-82458
Nierenberger, Mathieu ; Rémond, Yves ; Ahzi, Said. / On the ability of structural and phenomenological hyperelastic models to predict the mechanical behavior of biological tissues submitted to multiaxial loadings. ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012. Vol. 4 2012. pp. 267-270
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