메뉴 건너뛰기




Volumn 4, Issue 6, 2009, Pages 1005-1025

Anisotropy in hypoelastic soft-tissue mechanics II: Simple extensional experiments

Author keywords

Anisotropy; Calcaneal fat pad; Elastin; Fascia lata; Finite deformation; Hypoelasticity; Log likelihood; Parameter estimation; Runge kutta integrator

Indexed keywords


EID: 75949119026     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2009.4.1005     Document Type: Article
Times cited : (7)

References (30)
  • 1
    • 0019490755 scopus 로고
    • Elastin as a random-network elastomer: a mechanical and optical analysis of single elastin fibers
    • B. B. Aaron and J. M. Gosline, "Elastin as a random-network elastomer: a mechanical and optical analysis of single elastin fibers", Biopolymers 20:6 (1981), 1247-1260.
    • (1981) Biopolymers , vol.20 , Issue.6 , pp. 1247-1260
    • Aaron, B.B.1    Gosline, J.M.2
  • 4
    • 0000633523 scopus 로고
    • Goodness of fit in generalized least squares estimation
    • A. Buse, "Goodness of fit in generalized least squares estimation", Am. Stat. 27:3 (1973), 106-108.
    • (1973) Am. Stat. , vol.27 , Issue.3 , pp. 106-108
    • Buse, A.1
  • 6
    • 0037292056 scopus 로고    scopus 로고
    • Experimentally tractable, pseudo-elastic constitutive law for biomembranes, II: Application
    • J. C. Criscione, M. S. Sacks, and W. C. Hunter, "Experimentally tractable, pseudo-elastic constitutive law for biomembranes, II: Application", J. Biomech. Eng. (ASME) 125:1 (2003), 100-105.
    • (2003) J. Biomech. Eng. (ASME) , vol.125 , Issue.1 , pp. 100-105
    • Criscione, J.C.1    Sacks, M.S.2    Hunter, W.C.3
  • 7
    • 0018694759 scopus 로고
    • On the analysis of rotation and stress rate in deforming bodies
    • J. K. Dienes, "On the analysis of rotation and stress rate in deforming bodies", Acta Mech. 32:4 (1979), 217-232.
    • (1979) Acta Mech , vol.32 , Issue.4 , pp. 217-232
    • Dienes, J.K.1
  • 8
    • 75949124270 scopus 로고
    • Technical Report LA-11063-MS, Los Alamos National Laboratory, December
    • J. K. Dienes, "Theory of deformation, 1: Kinematics", Technical Report LA-11063-MS, Vol. 1, Los Alamos National Laboratory, December 1987.
    • (1987) Theory of deformation 1: Kinematics , vol.1
    • Dienes, J.K.1
  • 9
    • 70350364925 scopus 로고    scopus 로고
    • Anisotropy in hypoelastic soft-tissue mechanics, I: Theory
    • A. D. Freed, "Anisotropy in hypoelastic soft-tissue mechanics, I: Theory", J. Mech. Mater. Struct. 3:5 (2008), 911-928.
    • (2008) J. Mech. Mater. Struct. , vol.3 , Issue.5 , pp. 911-928
    • Freed, A.D.1
  • 10
    • 33750340240 scopus 로고    scopus 로고
    • Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad
    • A. D. Freed and K. Diethelm, "Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad", Biomech. Model. Mechanobiol. 5:4 (2006), 203-215.
    • (2006) Biomech. Model. Mechanobiol. , vol.5 , Issue.4 , pp. 203-215
    • Freed, A.D.1    Diethelm, K.2
  • 11
    • 23644434798 scopus 로고    scopus 로고
    • Elastic model for crimped collagen fibrils
    • A. D. Freed and T. C. Doehring, "Elastic model for crimped collagen fibrils", J. Biomech. Eng. (ASME) 127:4 (2005), 587-593.
    • (2005) J. Biomech. Eng. (ASME) , vol.127 , Issue.4 , pp. 587-593
    • Freed, A.D.1    Doehring, T.C.2
  • 12
    • 30344440843 scopus 로고    scopus 로고
    • Invariant formulation for dispersed transverse isotropy in aortic heart valves: an efficient means for modeling fiber splay
    • A. D. Freed, D. R. Einstein, and I. Vesely, "Invariant formulation for dispersed transverse isotropy in aortic heart valves: an efficient means for modeling fiber splay", Biomech. Model. Mechanobiol. 4:2-3 (2005), 100-117.
    • (2005) Biomech. Model. Mechanobiol. , vol.4 , Issue.2-3 , pp. 100-117
    • Freed, A.D.1    Einstein, D.R.2    Vesely, I.3
  • 13
    • 0014179220 scopus 로고
    • Elasticity of soft tissues in simple elongation
    • Y. C. Fung, "Elasticity of soft tissues in simple elongation", Am. J. Physiol. 213:6 (1967), 1532-1544.
    • (1967) Am. J. Physiol. , vol.213 , Issue.6 , pp. 1532-1544
    • Fung, Y.C.1
  • 14
    • 33745171176 scopus 로고    scopus 로고
    • Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
    • T. C. Gasser, R. W. Ogden, and G. A. Holzapfel, "Hyperelastic modelling of arterial layers with distributed collagen fibre orientations", J. R. Soc. Interface 3:6 (2006), 15-35.
    • (2006) J. R. Soc. Interface , vol.3 , Issue.6 , pp. 15-35
    • Gasser, T.C.1    Ogden, R.W.2    Holzapfel, G.A.3
  • 15
    • 34250970465 scopus 로고
    • A general theory of an elastic-plastic continuum
    • A. E. Green and P. M. Naghdi, "A general theory of an elastic-plastic continuum", Arch. Ration. Mech. An. 18:4 (1965), 251-281.
    • (1965) Arch. Ration. Mech. An. , vol.18 , Issue.4 , pp. 251-281
    • Green, A.E.1    Naghdi, P.M.2
  • 16
    • 0000687568 scopus 로고
    • A PI stepsize control for the numerical solution of ordinary differential equations
    • K. Gustafsson, M. Lundh, and G. Söderlind, "A PI stepsize control for the numerical solution of ordinary differential equations", BIT 28:2 (1988), 270-287.
    • (1988) BIT , vol.28 , Issue.2 , pp. 270-287
    • Gustafsson, K.1    Lundh, M.2    Söderlind, G.3
  • 19
    • 0142223926 scopus 로고    scopus 로고
    • A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis
    • G. A. Holzapfel, T. C. Gasser, and M. Stadler, "A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis", Eur. J. Mech. A Solids 21:3 (2002), 441-463.
    • (2002) Eur. J. Mech. A Solids , vol.21 , Issue.3 , pp. 441-463
    • Holzapfel, G.A.1    Gasser, T.C.2    Stadler, M.3
  • 20
    • 0006451452 scopus 로고
    • Beitrag zur näherungsweisen Integration totaler Differentialgleichungen
    • W. Kutta, "Beitrag zur näherungsweisen Integration totaler Differentialgleichungen", Z. Math. Phys. 46 (1901), 435-453.
    • (1901) Z. Math. Phys. , vol.46 , pp. 435-453
    • Kutta, W.1
  • 21
    • 0036889224 scopus 로고    scopus 로고
    • Material properties of the human calcaneal fat pad in compression: experiment and theory
    • J. E. Miller-Young, N. A. Duncan, and G. Baroud, "Material properties of the human calcaneal fat pad in compression: experiment and theory", J. Biomech. 35:12 (2002), 1523-1531.
    • (2002) J. Biomech. , vol.35 , Issue.12 , pp. 1523-1531
    • Miller-Young, J.E.1    Duncan, N.A.2    Baroud, G.3
  • 23
    • 75949110471 scopus 로고    scopus 로고
    • online biography in the MacTutor History of Mathematics, Available at
    • J. J. O'Connor and E. F. Robertson, "Thomas Simpson", online biography in the MacTutor History of Mathematics, 2005, Available at http://www-history.mcs.st-and.ac.uk/Biographies/Simpson.html.
    • (2005) Thomas Simpson
    • O'Connor, J.J.1    Robertson, E.F.2
  • 24
    • 0003791412 scopus 로고    scopus 로고
    • Wiley, New York, 1984. Republished by Dover, Mineola, NY
    • R. W. Ogden, Non-linear elastic deformations, Wiley, New York, 1984. Republished by Dover, Mineola, NY, 1997.
    • (1997) Non-linear elastic deformations
    • Ogden, R.W.1
  • 25
    • 0001086663 scopus 로고
    • On the formulation of rheological equations of state
    • J. G. Oldroyd, "On the formulation of rheological equations of state", Proc. R. Soc. Lond. A 200:1063 (1950), 523-541.
    • (1950) Proc. R. Soc. Lond. A , vol.200 , Issue.1063 , pp. 523-541
    • Oldroyd, J.G.1
  • 26
    • 26644439132 scopus 로고
    • Orthogonal integrity basis for N symmetric matrices
    • edited by D. Abir, Pergamon, New York
    • R. S. Rivlin and G. F. Smith, "Orthogonal integrity basis for N symmetric matrices", pp. 121-141 in Contributions to mechanics, edited by D. Abir, Pergamon, New York, 1969.
    • (1969) Contributions to mechanics , pp. 121-141
    • Rivlin, R.S.1    Smith, G.F.2
  • 30
    • 0022699297 scopus 로고
    • A Fortran package for generalized, cross-validatory spline smoothing and differentiation
    • H. J. Woltring, "A Fortran package for generalized, cross-validatory spline smoothing and differentiation", Adv. Eng. Software 8:2 (1986), 104-113.
    • (1986) Adv. Eng. Software , vol.8 , Issue.2 , pp. 104-113
    • Woltring, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.