Skip to main content
Top

2023 | OriginalPaper | Chapter

An Anisotropic Hyperelastic Model for Human Skin: Finite Element Modeling, Identification of Parameters, Mechanical Tests

Authors : Wael Alliliche, Christine Renaud, Jean-Michel Cros, Zhi-Qiang Feng

Published in: Computer Methods, Imaging and Visualization in Biomechanics and Biomedical Engineering II

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The skin is a living tissue that behaves in a hyperelastic anisotropic way. To model the skin, we propose an accurate, constitutive law called HGO-Yeoh. This model is implemented in a finite element code FER “Finite Element Research” [4] in order to benefit from its tools, including the bi-potential contact method: a method coupling contact and friction which is more efficient than traditional ones. Identification of parameters of the skin-related material is made with an optimization procedure. A tensile test is simulated using the numerical code FER and ANSYS. The results are compared with the experimental data. A simulation of an indentation test using a bipotential contact law is also performed.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Arruda, E.M., Boyce, M.C.: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41(2), 389–412 (1993)CrossRef Arruda, E.M., Boyce, M.C.: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41(2), 389–412 (1993)CrossRef
2.
go back to reference Crisfield, M.A.: Nonlinear Finite Element Analysis of Solids and Structures. Volume 1: Essentials. Wiley Professional Software (1991) Crisfield, M.A.: Nonlinear Finite Element Analysis of Solids and Structures. Volume 1: Essentials. Wiley Professional Software (1991)
3.
go back to reference De Saxcé, G., Feng, Z.Q.: The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms. Math. Comput. Model. 28(4), 225–245 (1998)MathSciNetCrossRef De Saxcé, G., Feng, Z.Q.: The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms. Math. Comput. Model. 28(4), 225–245 (1998)MathSciNetCrossRef
4.
go back to reference Feng, Z.Q.: FER/View - an interactive finite element post-processor. In: Computational Mechanics WCCM VI in Conjunction with APCOM 2004, Beijing, 5–10 September (2004) Feng, Z.Q.: FER/View - an interactive finite element post-processor. In: Computational Mechanics WCCM VI in Conjunction with APCOM 2004, Beijing, 5–10 September (2004)
5.
go back to reference Gent, A.N.: A new constitutive relation for rubber. Rubber Chem. Technol. 69(1), 59–61 (1996) Gent, A.N.: A new constitutive relation for rubber. Rubber Chem. Technol. 69(1), 59–61 (1996)
6.
go back to reference Holzapfel, G.A., Gasser, T.C., Ogden, R.W.: A new constitutive framework for arterial wall mechanics and a comparative study of material models 61, 1–48 (2001) Holzapfel, G.A., Gasser, T.C., Ogden, R.W.: A new constitutive framework for arterial wall mechanics and a comparative study of material models 61, 1–48 (2001)
7.
go back to reference Lin, J., Shi, Y., Men, Y., Wang, X., Ye, J., Zhang, C.: Mechanical roles in formation of oriented collagen fibers. Tissue Eng. Part B Rev. 26(2), 116–128 (2020)CrossRef Lin, J., Shi, Y., Men, Y., Wang, X., Ye, J., Zhang, C.: Mechanical roles in formation of oriented collagen fibers. Tissue Eng. Part B Rev. 26(2), 116–128 (2020)CrossRef
8.
go back to reference Marquardt, D.W.: An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11(2), 431–441 (1963)MathSciNetCrossRef Marquardt, D.W.: An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11(2), 431–441 (1963)MathSciNetCrossRef
9.
go back to reference Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11(9), 582–592 (1940)CrossRef Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11(9), 582–592 (1940)CrossRef
10.
go back to reference Ogden, R.W.: Non-linear elastic deformations. ZAMM - J. Appl. Math. Mech. 65(9), 404–404 (1984) Ogden, R.W.: Non-linear elastic deformations. ZAMM - J. Appl. Math. Mech. 65(9), 404–404 (1984)
11.
go back to reference Peyraut, F., Renaud, C., Labed, N., Feng, Z.Q.: Modélisation de tissus biologiques en hyperélasticité anisotrope - Étude théorique et approche éléments finis. Comptes Rendus Mécanique 337(2), 101–106 (2009)CrossRef Peyraut, F., Renaud, C., Labed, N., Feng, Z.Q.: Modélisation de tissus biologiques en hyperélasticité anisotrope - Étude théorique et approche éléments finis. Comptes Rendus Mécanique 337(2), 101–106 (2009)CrossRef
12.
go back to reference Remache, D.: Contribution à l’étude expérimentale et numérique du comportement hyperélastique et anisotrope de la peau humaine. Institut FEMTO-ST - Université Franche-Comté, Thèse (2013) Remache, D.: Contribution à l’étude expérimentale et numérique du comportement hyperélastique et anisotrope de la peau humaine. Institut FEMTO-ST - Université Franche-Comté, Thèse (2013)
13.
go back to reference Renaud, C., Cros, J.M., Feng, Z.Q., Yang, B.: The Yeoh model applied to the modeling of large deformation contact/impact problems. Int. J. Impact Eng 36(5), 659–666 (2009)CrossRef Renaud, C., Cros, J.M., Feng, Z.Q., Yang, B.: The Yeoh model applied to the modeling of large deformation contact/impact problems. Int. J. Impact Eng 36(5), 659–666 (2009)CrossRef
14.
go back to reference Rivlin, R.S.: Large elastic deformations of isotropic materials iv. further developments of the general theory. Philos. Trans. Roy. Soc. London Ser. A Math. Phys. Sci. 241(835), 379–397 (1948) Rivlin, R.S.: Large elastic deformations of isotropic materials iv. further developments of the general theory. Philos. Trans. Roy. Soc. London Ser. A Math. Phys. Sci. 241(835), 379–397 (1948)
15.
go back to reference Schröder, J., Neff, P., Balzani, D.: A variational approach for materially stable anisotropic hyperelasticity. Int. J. Solids Struct. 42(15), 4352–4371 (2005)MathSciNetCrossRef Schröder, J., Neff, P., Balzani, D.: A variational approach for materially stable anisotropic hyperelasticity. Int. J. Solids Struct. 42(15), 4352–4371 (2005)MathSciNetCrossRef
17.
go back to reference Socci, L., Pennati, G., Gervaso, F., Vena, P.: An axisymmetric computational model of skin expansion and growth. Biomech. Modeling Mechanobiol. 6, 177–88 (2007) Socci, L., Pennati, G., Gervaso, F., Vena, P.: An axisymmetric computational model of skin expansion and growth. Biomech. Modeling Mechanobiol. 6, 177–88 (2007)
19.
go back to reference Yeoh, O.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754–771 (1993)CrossRef Yeoh, O.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754–771 (1993)CrossRef
20.
go back to reference Zhang, M., Mak, A.F.T.: In vivo friction properties of human skin. Prosthet. Orthot. Int. 23(2), 135–141 (1999)CrossRef Zhang, M., Mak, A.F.T.: In vivo friction properties of human skin. Prosthet. Orthot. Int. 23(2), 135–141 (1999)CrossRef
Metadata
Title
An Anisotropic Hyperelastic Model for Human Skin: Finite Element Modeling, Identification of Parameters, Mechanical Tests
Authors
Wael Alliliche
Christine Renaud
Jean-Michel Cros
Zhi-Qiang Feng
Copyright Year
2023
DOI
https://doi.org/10.1007/978-3-031-10015-4_23

Premium Partner