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Estimating material parameters of a structurally based constitutive relation for skin mechanics

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Abstract

This paper presents a structurally based modeling framework to characterize the structure–function relation in skin tissues, based upon biaxial tensile experiments performed in vitro on porcine skin. Equi-axial deformations were imposed by stretching circular skin specimens uniformly along twelve directions, and the resultant loads at the membrane attachment points were measured. Displacement fields at each deformation step were tracked using an image 2D cross-correlation technique. A modeling framework was developed to simulate the experiments, whereby measured forces were applied to finite element models that were created to represent the geometry and structure of the tissue samples. Parameters of a structurally based constitutive relation were then identified using nonlinear optimization. Results showed that the ground matrix stiffness ranged from 5 to 32 kPa, fiber orientation mean from 2 to 13◦ from the torso midline, fiber undulation mean from 1.04 to 1.34 and collagen fiber stiffness from 48 to 366 MPa. It was concluded that the objective function was highly sensitive to the mean orientation and that a priori information about fiber orientation mean was important for the reliable identification of constitutive parameters.

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References

  • Barel AO, Courage W, Clarys P (1995) Suction method for measurement of skin mechanical properties: the cutometer. In: Handbook of noninvasive methods and the skin. CRC Press, London

  • Billiar K, Sacks M (2000) Biaxial mechanical properties of the native and glutarldehyde-treated aortic valve cusp: part II-A structural constitutive model. J Biomech Eng 122: 327–335

    Article  Google Scholar 

  • Bradley CP, Pullan AJ, Hunter PJ (1997) Geometric modeling of the human torso using cubic Hermite elements. Ann Biomed Eng 25(1): 96–111

    Article  Google Scholar 

  • Brown IA (1973) A scanning electron microscope study of the effects of uniaxial tension on human skin. Br J Dermatol 89(4): 383–393

    Article  Google Scholar 

  • Craik JE, McNeil IRR (1965) Histological studies of stressed skin. In: Biomechanics and related bioengineering topics. Pergamon Press, Oxford, pp 159–164

  • Daly C (1966) The biomechanical characteristics of human skin. PhD thesis, University of Strathclyde, Scotland

  • Daly CH (1969) The role of elastin in the mechanical behavior of human skin. In: 8th Int. Conf. Med. Biol. Eng

  • Diridollou S, Patat F, Gens F, Vaillant L, Black D, Lagarde JM, Gall Y, Berson M (2000) In vivo model of the mechanical properties of the human skin under suction. Skin Res Technol 6(4): 214–221

    Article  Google Scholar 

  • Finlay B (1969) Scanning electron microscopy of the human dermis under uni-axial strain. Biomed Eng 4(7): 322–327

    Google Scholar 

  • Flynn C, Taberner A, Nielsen PMF (2010) Mechanical characterisation of in vivo human skin using a 3D force-sensitive micro-robot and finite element analysis. Biomech Model Mechanobiol published online

  • Fung YC (1967) Elasticity of soft tissues in simple elongation. Am J Physiol 213(6): 1532–1544

    Google Scholar 

  • Harkness ML, Harkness RD (1959) Effect of enzymes on mechanical properties of tissues. Nature 183: 1821–1822

    Article  Google Scholar 

  • Holzapfel G, Ogden R (2009) On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework. Math Mech Solids 14: 474–489

    Article  Google Scholar 

  • Holzapfel G, Gasser T, Stadler M (2002) A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Eur J Mech A Solids 21: 441–463

    Article  MATH  Google Scholar 

  • Horowitz A, Lanir Y, Yin FCP, Perl M, Sheinman I, Strumpf RK (1988) Structural three dimensional constitutive law for the passive myocardium. J Biomech Eng 110: 200–207

    Article  Google Scholar 

  • Hurschler C, Loitz-Ramage B, Vanderby R (1997) A structurally based stress-stretch relationship for tendon and ligament. J Biomech Eng 119(4): 392–399

    Article  Google Scholar 

  • Jor JWY, Nielsen PMF, Nash MP, Hunter PJ (2010) Modelling collagen fibre orientation in porcine skin based upon confocal laser scanning microscopy. Skin Res Technol (accepted)

  • Kvistedal YA, Nielsen PMF (2009) Estimating material parameters of human skin in vivo. Biomech Model Mechanobiol 8(1): 1–8

    Article  Google Scholar 

  • Lanir Y (1979) A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. J Biomech 12(6): 423–436

    Article  Google Scholar 

  • Lanir Y (1983) Constitutive equations for fibrous connective tissues. J Biomech 16(1): 1–12

    Article  Google Scholar 

  • Lanir Y, Fung YC (1974) Two-dimensional mechanical properties of rabbit skin. I. Experimental system. J Biomech 7(1): 29–34

    Article  Google Scholar 

  • Lokshin O, Lanir Y (2009) Micro and macro rheology of planar tissues. Biomaterials 30: 3118–3127

    Article  Google Scholar 

  • Malcolm D (2000) Estimating the material properties of inhomogeneous elastic membranes. PhD thesis, University of Auckland

  • Manschot JFM (1985) The mechanical properties of human skin in vivo. PhD thesis, Nijmegen University, The Netherlands

  • Meijer R, Douven LFA, Oomens CWJ (1999) Characterisation of anisotropic and non-linear behaviour of human skin in vivo. Comput Methods Biomech Biomed Eng 2(1): 13–27

    Article  Google Scholar 

  • Nathanson MH, Saidel GM (1985) Multiple-objective criteria for optimal experimental design: application to ferrokinetics. Am J Physiol 248: 378–386

    Google Scholar 

  • Nielsen PMF, Malcolm DTK, Hunter PJ, Charette PG (2002) Instrumentation and procedures for estimating the constitutive parameters of inhomogeneous elastic membranes. Biomech Model Mechanobiol 1(3): 211–218

    Article  Google Scholar 

  • Pope FM, Martin GR, Lichtenstein JR, Penttinen R, Gerson B, Rowe DW, McKusick VA (1975) Patients with Ehlers-Danlos syndrome type IV lack type III collagen. Proc Natl Acad Sci USA 72(4): 1314–1316

    Article  Google Scholar 

  • Reihsner R, Balogh B, Menzel EJ (1995) Two-dimensional elastic properties of human skin in terms of an incremental model at the in vivo configuration. Med Eng Phys 17(4): 304–313

    Article  Google Scholar 

  • Rodrigues L (2001) EEMCO guidance to the in vivo assessment of tensile functional properties of the skin. Skin Pharmacol Appl Skin Physiol 14: 52–67

    Google Scholar 

  • Rose EH, Ksander GA, Vistnes LM (1976) Skin tension lines in the domestic pig. Plast Reconstr Surg 57(6): 729–732

    Article  Google Scholar 

  • Sacks MS (2003) Incorporation of experimental derived fiber orientation into a structural constitutive model for planar collagenous tissues. J Biomech Eng 125(2): 280–287

    Article  Google Scholar 

  • Tong P, Fung YC (1976) The stress-strain relationship for the skin. J Biomech 9(10): 649–657

    Article  Google Scholar 

  • van Brocklin D, Ellis DG (1965) A study of the mechanical behavior of toe extensor tendons under applied stress. Arch Phys Med Rehabil 46: 369–373

    Google Scholar 

  • Viidik A (1980) In: Viidik A, Vuust J (eds) Biology of collagen, chap 17, pp 239–355

  • Wilkes GL, Brown IA, Wildnauer RH (1973) The biomechanical properties of skin. CRC Crit Rev Bioeng 1(4): 453–495

    Google Scholar 

  • Wright DG, Rennels DC (1964) A study of the elastic properties of planar fascia. J Bone Joint Surg 46: 482–492

    Google Scholar 

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Authors and Affiliations

  1. Auckland Bioengineering Institute, University of Auckland, 70 Symonds Street, Auckland, New Zealand

    Jessica W. Y. Jor, Martyn P. Nash, Poul M. F. Nielsen & Peter J. Hunter

  2. Department of Engineering Science, University of Auckland, 70 Symonds Street, Auckland, New Zealand

    Martyn P. Nash & Poul M. F. Nielsen

Authors
  1. Jessica W. Y. Jor
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  2. Martyn P. Nash
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  3. Poul M. F. Nielsen
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  4. Peter J. Hunter
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Correspondence to Jessica W. Y. Jor.

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Jor, J.W.Y., Nash, M.P., Nielsen, P.M.F. et al. Estimating material parameters of a structurally based constitutive relation for skin mechanics. Biomech Model Mechanobiol 10, 767–778 (2011). https://doi.org/10.1007/s10237-010-0272-0

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  • DOI: https://doi.org/10.1007/s10237-010-0272-0

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