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Volumn 4, Issue 8, 2011, Pages 1637-1657

A mesostructurally-based anisotropic continuum model for biological soft tissues-Decoupled invariant formulation

Author keywords

Anisotropic hyperelasticity; Collagen; Constitutive model; Entropic elasticity; Multi scale modelling; Skin; Soft tissue; Tropocollagen

Indexed keywords

ENTROPIC ELASTICITY; HYPER-ELASTICITY; MULTI-SCALE MODELLING; SOFT TISSUE; TROPOCOLLAGEN;

EID: 81255160642     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2011.07.016     Document Type: Article
Times cited : (38)

References (82)
  • 1
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic-materials
    • Arruda E.M., Boyce M.C. A three-dimensional constitutive model for the large stretch behavior of rubber elastic-materials. Journal of the Mechanics and Physics of Solids 1993, 41:389-412.
    • (1993) Journal of the Mechanics and Physics of Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 2
    • 5444258585 scopus 로고    scopus 로고
    • Biaxial testing of human annulus fibrosus and its implications for a constitutive formulation
    • Bass E.C., Ashford F.A., Segal M.R., Lotz J.C. Biaxial testing of human annulus fibrosus and its implications for a constitutive formulation. Annals of Biomedical Engineering 2004, 32:1231-1242.
    • (2004) Annals of Biomedical Engineering , vol.32 , pp. 1231-1242
    • Bass, E.C.1    Ashford, F.A.2    Segal, M.R.3    Lotz, J.C.4
  • 3
    • 0034106681 scopus 로고    scopus 로고
    • Finite element modeling of human skin using an isotropic, nonlinear elastic constitutive model
    • Bischoff J.E., Arruda E.M., Grosh K. Finite element modeling of human skin using an isotropic, nonlinear elastic constitutive model. Journal of Biomechanics 2000, 33:645-652.
    • (2000) Journal of Biomechanics , vol.33 , pp. 645-652
    • Bischoff, J.E.1    Arruda, E.M.2    Grosh, K.3
  • 6
    • 13844294050 scopus 로고    scopus 로고
    • A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii
    • Blemker S.S., Pinsky P.M., Delp S.L. A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii. Journal of Biomechanics 2005, 38:657-665.
    • (2005) Journal of Biomechanics , vol.38 , pp. 657-665
    • Blemker, S.S.1    Pinsky, P.M.2    Delp, S.L.3
  • 7
    • 0018155845 scopus 로고
    • Lois de comportement anisotrope des milieux continus
    • Boehler Lois de comportement anisotrope des milieux continus. Journal de Mécanique 1978, 17:153-190.
    • (1978) Journal de Mécanique , vol.17 , pp. 153-190
    • Boehler1
  • 8
    • 33747630320 scopus 로고    scopus 로고
    • Atomistic and continuum modeling of mechanical properties of collagen: elasticity, fracture, and self-assembly
    • Buehler M.J. Atomistic and continuum modeling of mechanical properties of collagen: elasticity, fracture, and self-assembly. Journal of Materials Research 2006, 21:1947-1961.
    • (2006) Journal of Materials Research , vol.21 , pp. 1947-1961
    • Buehler, M.J.1
  • 10
    • 84886200574 scopus 로고    scopus 로고
    • Hierarchical nanomechanics of collagen fibrils: atomistic and molecular modeling
    • Springer Science, New York, P. Fratzl (Ed.)
    • Buehler M. Hierarchical nanomechanics of collagen fibrils: atomistic and molecular modeling. Collagen: Structure and Mechanics 2008, 175-247. Springer Science, New York. P. Fratzl (Ed.).
    • (2008) Collagen: Structure and Mechanics , pp. 175-247
    • Buehler, M.1
  • 11
    • 81255182444 scopus 로고    scopus 로고
    • 4 atomistic elasticity: linking atoms and continuum
    • Springer, New York
    • Buehler M.J. 4 atomistic elasticity: linking atoms and continuum. Atomistic Modeling of Materials Failure 2008, 151. Springer, New York.
    • (2008) Atomistic Modeling of Materials Failure , pp. 151
    • Buehler, M.J.1
  • 12
    • 38649124900 scopus 로고    scopus 로고
    • Molecular architecture of collagen fibrils: a critical length scale for tough fibrils
    • Buehler M.J. Molecular architecture of collagen fibrils: a critical length scale for tough fibrils. Current Applied Physics 2008, 8:440-442.
    • (2008) Current Applied Physics , vol.8 , pp. 440-442
    • Buehler, M.J.1
  • 13
    • 35048874768 scopus 로고    scopus 로고
    • Nanomechanics of collagen fibrils under varying cross-link densities: atomistic and continuum studies
    • Buehler M.J. Nanomechanics of collagen fibrils under varying cross-link densities: atomistic and continuum studies. Journal of the Mechanical Behavior of Biomedical Materials 2008, 1:59-67.
    • (2008) Journal of the Mechanical Behavior of Biomedical Materials , vol.1 , pp. 59-67
    • Buehler, M.J.1
  • 14
    • 34347403503 scopus 로고    scopus 로고
    • Entropic elasticity controls nanomechanics of single tropocollagen molecules
    • Buehler M.J., Wong S.Y. Entropic elasticity controls nanomechanics of single tropocollagen molecules. Biophysical Journal 2007, 93:37-43.
    • (2007) Biophysical Journal , vol.93 , pp. 37-43
    • Buehler, M.J.1    Wong, S.Y.2
  • 16
    • 0344982875 scopus 로고    scopus 로고
    • Kinematics and elasticity framework for materials with two fiber families
    • Criscione J.C., Hunter W.C. Kinematics and elasticity framework for materials with two fiber families. Continuum Mechanics and Thermodynamics 2003, 15:613-628.
    • (2003) Continuum Mechanics and Thermodynamics , vol.15 , pp. 613-628
    • Criscione, J.C.1    Hunter, W.C.2
  • 17
    • 0036681261 scopus 로고    scopus 로고
    • Constitutive framework optimized for myocardium and other high-strain, laminar materials with one fiber family
    • Criscione J.C., McCulloch A.D., Hunter W.C. Constitutive framework optimized for myocardium and other high-strain, laminar materials with one fiber family. Journal of the Mechanics and Physics of Solids 2002, 50:1681-1702.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 1681-1702
    • Criscione, J.C.1    McCulloch, A.D.2    Hunter, W.C.3
  • 18
    • 0018566616 scopus 로고
    • Determination of the elastic constants of collagen by Brillouin light scattering
    • Cusack S., Miller A. Determination of the elastic constants of collagen by Brillouin light scattering. Journal of Molecular Biology 1979, 135:39-51.
    • (1979) Journal of Molecular Biology , vol.135 , pp. 39-51
    • Cusack, S.1    Miller, A.2
  • 19
    • 33744787367 scopus 로고    scopus 로고
    • Characterization of the mechanical properties of skin by inverse analysis combined with the indentation test
    • Delalleau A., Josse G., Lagarde J.M., Zahouani H., Bergheau J.M. Characterization of the mechanical properties of skin by inverse analysis combined with the indentation test. Journal of Biomechanics 2006, 39:1603-1610.
    • (2006) Journal of Biomechanics , vol.39 , pp. 1603-1610
    • Delalleau, A.1    Josse, G.2    Lagarde, J.M.3    Zahouani, H.4    Bergheau, J.M.5
  • 21
    • 48249132522 scopus 로고    scopus 로고
    • Finite element modelling of forearm skin wrinkling
    • Flynn C., McCormack B.A.O. Finite element modelling of forearm skin wrinkling. Skin Research and Technology 2008, 14:261-269.
    • (2008) Skin Research and Technology , vol.14 , pp. 261-269
    • Flynn, C.1    McCormack, B.A.O.2
  • 25
    • 0034208513 scopus 로고    scopus 로고
    • Anisotropic shear behavior of the annulus fibrosus: effect of harvest site and tissue prestrain
    • Fujita Y., Wagner D.R., Biviji A.A., Duncan N.A., Lotz J.C. Anisotropic shear behavior of the annulus fibrosus: effect of harvest site and tissue prestrain. Medical Engineering & Physics 2000, 22:349-357.
    • (2000) Medical Engineering & Physics , vol.22 , pp. 349-357
    • Fujita, Y.1    Wagner, D.R.2    Biviji, A.A.3    Duncan, N.A.4    Lotz, J.C.5
  • 31
    • 79851488199 scopus 로고    scopus 로고
    • Hierarchical structure and nanomechanics of collagen microfibrils from the atomic scale up
    • Gautieri A., Vesentini S., Redaelli A., Buehler M.J. Hierarchical structure and nanomechanics of collagen microfibrils from the atomic scale up. Nano Letters 2011, 11:757-766.
    • (2011) Nano Letters , vol.11 , pp. 757-766
    • Gautieri, A.1    Vesentini, S.2    Redaelli, A.3    Buehler, M.J.4
  • 32
    • 33745180485 scopus 로고    scopus 로고
    • A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus
    • Guo Z.Y., Peng X.Q., Moran B. A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus. Journal of the Mechanics and Physics of Solids 2006, 54:1952-1971.
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , pp. 1952-1971
    • Guo, Z.Y.1    Peng, X.Q.2    Moran, B.3
  • 33
    • 0017390580 scopus 로고
    • Phonons and the elasticn moduli of collagen and muscle
    • Harley R., James D., Miller A., White J. Phonons and the elasticn moduli of collagen and muscle. Nature 1977, 267:285-287.
    • (1977) Nature , vol.267 , pp. 285-287
    • Harley, R.1    James, D.2    Miller, A.3    White, J.4
  • 34
    • 0021770213 scopus 로고
    • Localization of flexible sites in thread-like molecules from electron-micrographs-comparison of interstitial, basement-membrane and intima collagens
    • Hofmann H., Voss T., Kuhn K., Engel J. Localization of flexible sites in thread-like molecules from electron-micrographs-comparison of interstitial, basement-membrane and intima collagens. Journal of Molecular Biology 1984, 172:325-343.
    • (1984) Journal of Molecular Biology , vol.172 , pp. 325-343
    • Hofmann, H.1    Voss, T.2    Kuhn, K.3    Engel, J.4
  • 36
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Holzapfel G.A., Gasser T.C., Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity 2000, 61:1-48.
    • (2000) Journal of Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 37
    • 84886130799 scopus 로고    scopus 로고
    • Collagen diversity, synthesis and assembly
    • Springer Science, New York, P. Fratzl (Ed.)
    • Hulmes D.J.S. Collagen diversity, synthesis and assembly. Collagen: Structure and Mechanics 2008, 15-47. Springer Science, New York. P. Fratzl (Ed.).
    • (2008) Collagen: Structure and Mechanics , pp. 15-47
    • Hulmes, D.J.S.1
  • 39
    • 0023457260 scopus 로고
    • On constitutive relations and finite deformations of passive cardiac tissue. 1. A pseudostrain-energy function
    • Humphrey J.D., Yin F.C.P. On constitutive relations and finite deformations of passive cardiac tissue. 1. A pseudostrain-energy function. Journal of Biomechanical Engineering, Transactions of the ASME 1987, 109:298-304.
    • (1987) Journal of Biomechanical Engineering, Transactions of the ASME , vol.109 , pp. 298-304
    • Humphrey, J.D.1    Yin, F.C.P.2
  • 43
    • 77954956403 scopus 로고    scopus 로고
    • An improved eas brick element for finite deformation
    • Korelc J., šolinc U., Wriggers P. An improved eas brick element for finite deformation. Computational Mechanics 2010, 46:641-659.
    • (2010) Computational Mechanics , vol.46 , pp. 641-659
    • Korelc, J.1    šolinc, U.2    Wriggers, P.3
  • 46
    • 18444404646 scopus 로고    scopus 로고
    • Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network
    • Kuhl E., Garikipati K., Arruda E.M., Grosh K. Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network. Journal of the Mechanics and Physics of Solids 2005, 53:1552-1573.
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , pp. 1552-1573
    • Kuhl, E.1    Garikipati, K.2    Arruda, E.M.3    Grosh, K.4
  • 47
    • 34548389361 scopus 로고    scopus 로고
    • A continuum model for remodeling in living structures
    • Kuhl E., Holzapfel G.A. A continuum model for remodeling in living structures. Journal of Materials Science 2007, 42:8811-8823.
    • (2007) Journal of Materials Science , vol.42 , pp. 8811-8823
    • Kuhl, E.1    Holzapfel, G.A.2
  • 50
    • 0020586767 scopus 로고
    • Constitutive equations for fibrous connective tissues
    • Lanir Y. Constitutive equations for fibrous connective tissues. Journal of Biomechanics 1983, 16:1-22.
    • (1983) Journal of Biomechanics , vol.16 , pp. 1-22
    • Lanir, Y.1
  • 51
    • 0016033755 scopus 로고
    • Two-dimensional mechanical properties of rabbit skin-II: experimental results
    • Lanir Y., Fung Y.C. Two-dimensional mechanical properties of rabbit skin-II: experimental results. Journal of Biomechanics 1972, 7:171-182.
    • (1972) Journal of Biomechanics , vol.7 , pp. 171-182
    • Lanir, Y.1    Fung, Y.C.2
  • 52
    • 81255182443 scopus 로고    scopus 로고
    • A stochastic finite element study of the wrinkling behaviour of skin. In: Third International Conference on Mechanics of Biomaterials and Tissues, Clearwater, FL, USA.
    • Limbert, G., 2009. A stochastic finite element study of the wrinkling behaviour of skin. In: Third International Conference on Mechanics of Biomaterials and Tissues, Clearwater, FL, USA.
    • (2009)
    • Limbert, G.1
  • 54
    • 0037066648 scopus 로고    scopus 로고
    • On the constitutive modeling of biological soft connective tissues. A general theoretical framework and tensors of elasticity for strongly anisotropic fiber-reinforced composites at finite strain
    • Limbert G., Taylor M. On the constitutive modeling of biological soft connective tissues. A general theoretical framework and tensors of elasticity for strongly anisotropic fiber-reinforced composites at finite strain. International Journal of Solids and Structures 2002, 39:2343-2358.
    • (2002) International Journal of Solids and Structures , vol.39 , pp. 2343-2358
    • Limbert, G.1    Taylor, M.2
  • 55
    • 4544358745 scopus 로고    scopus 로고
    • Three-dimensional finite element modelling of the human ACL. Simulation of passive knee flexion with a stressed and stress-free ACL
    • Limbert G., Taylor M., Middleton J. Three-dimensional finite element modelling of the human ACL. Simulation of passive knee flexion with a stressed and stress-free ACL. Journal of Biomechanics 2004, 37:1723-1731.
    • (2004) Journal of Biomechanics , vol.37 , pp. 1723-1731
    • Limbert, G.1    Taylor, M.2    Middleton, J.3
  • 56
    • 19744370421 scopus 로고    scopus 로고
    • Elastic properties, Young's modulus determination and structural stability of the tropocollagen molecule: a computational study by steered molecular dynamics
    • Lorenzo A.C., Caffarena E.R. Elastic properties, Young's modulus determination and structural stability of the tropocollagen molecule: a computational study by steered molecular dynamics. Journal of Biomechanics 2005, 38:1527-1533.
    • (2005) Journal of Biomechanics , vol.38 , pp. 1527-1533
    • Lorenzo, A.C.1    Caffarena, E.R.2
  • 57
    • 23944499193 scopus 로고    scopus 로고
    • Physically motivated invariant formulation for transversely isotropic hyperelasticity
    • Lu J., Zhang L. Physically motivated invariant formulation for transversely isotropic hyperelasticity. International Journal of Solids and Structures 2005, 42:6015-6031.
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 6015-6031
    • Lu, J.1    Zhang, L.2
  • 65
    • 33748429059 scopus 로고    scopus 로고
    • An anisotropic hyperelastic constitutive model with fiber-matrix shear interaction for the human annulus fibrosus
    • Peng X.Q., Guo Z.Y., Moran B. An anisotropic hyperelastic constitutive model with fiber-matrix shear interaction for the human annulus fibrosus. Journal of Applied Mechanics, Transactions of the ASME 2006, 73:815-824.
    • (2006) Journal of Applied Mechanics, Transactions of the ASME , vol.73 , pp. 815-824
    • Peng, X.Q.1    Guo, Z.Y.2    Moran, B.3
  • 66
    • 0031712479 scopus 로고    scopus 로고
    • Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons
    • Pioletti D.P., Rakotomanana L.R., Benvenuti J.F., Leyvraz P.F. Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. Journal of Biomechanics 1998, 31:753-757.
    • (1998) Journal of Biomechanics , vol.31 , pp. 753-757
    • Pioletti, D.P.1    Rakotomanana, L.R.2    Benvenuti, J.F.3    Leyvraz, P.F.4
  • 67
    • 0030152813 scopus 로고    scopus 로고
    • Stress-strain curve and Young's modulus of a collagen molecule as determined by the X-ray diffraction technique
    • Sasaki N., Odajima S. Stress-strain curve and Young's modulus of a collagen molecule as determined by the X-ray diffraction technique. Journal of Biomechanics 1996, 29:655-658.
    • (1996) Journal of Biomechanics , vol.29 , pp. 655-658
    • Sasaki, N.1    Odajima, S.2
  • 69
    • 0037245463 scopus 로고    scopus 로고
    • Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions
    • Schröder J., Neff P. Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. International Journal of Solids and Structures 2003, 40:401-445.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 401-445
    • Schröder, J.1    Neff, P.2
  • 70
  • 71
    • 0026898028 scopus 로고
    • Associative coupled thermoplasticity at finite strains-formulation, numerical-analysis and implementation
    • Simo J.C., Miehe C. Associative coupled thermoplasticity at finite strains-formulation, numerical-analysis and implementation. Computer Methods in Applied Mechanics and Engineering 1992, 98:41-104.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.98 , pp. 41-104
    • Simo, J.C.1    Miehe, C.2
  • 73
    • 0001350465 scopus 로고
    • Plasticity theory for fibre-reinforced composites
    • Spencer A.J.M. Plasticity theory for fibre-reinforced composites. Journal of Engineering Mathematics 1992, 26:107-118.
    • (1992) Journal of Engineering Mathematics , vol.26 , pp. 107-118
    • Spencer, A.J.M.1
  • 78
    • 67349234865 scopus 로고    scopus 로고
    • A constitutive model of soft tissue: from nanoscale collagen to tissue continuum
    • Tang H., Buehler M.J., Moran B. A constitutive model of soft tissue: from nanoscale collagen to tissue continuum. Annals of Biomedical Engineering 2009, 37:1117-1130.
    • (2009) Annals of Biomedical Engineering , vol.37 , pp. 1117-1130
    • Tang, H.1    Buehler, M.J.2    Moran, B.3
  • 81
    • 2942594377 scopus 로고    scopus 로고
    • Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus
    • Wagner D.R., Lotz J.C. Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus. Journal of Orthopaedic Research 2004, 22:901-909.
    • (2004) Journal of Orthopaedic Research , vol.22 , pp. 901-909
    • Wagner, D.R.1    Lotz, J.C.2


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