메뉴 건너뛰기




Volumn 37, Issue 8, 2010, Pages 700-706

On the use of the Bingham statistical distribution in microsphere-based constitutive models for arterial tissue

Author keywords

Bingham distribution; Identification, Blood vessel; Microsphere model; Orientation density function; Parameter

Indexed keywords

BINGHAM DISTRIBUTION; IDENTIFICATION, BLOOD VESSEL; MICROSPHERE MODEL; ORIENTATION DENSITY; PARAMETER;

EID: 78649722213     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2010.10.001     Document Type: Article
Times cited : (45)

References (27)
  • 1
    • 56949103255 scopus 로고    scopus 로고
    • Anisotropic micro-sphere-based finite elasticity applied to blood vessel modelling
    • V. Alastrué, M.A. Martinez, M. Doblare, and A. Menzel Anisotropic micro-sphere-based finite elasticity applied to blood vessel modelling J. Mech. Phys. Solids 57 1 (January) 2009 178 203
    • (2009) J. Mech. Phys. Solids , vol.57 , Issue.JANUARY1 , pp. 178-203
    • Alastrué, V.1    Martinez, M.A.2    Doblare, M.3    Menzel, A.4
  • 2
    • 68649106680 scopus 로고    scopus 로고
    • On the use of non-linear transformations for the evaluation of anisotropic rotationally symmetric directional integrals. Application to the stress analysis in fibred soft tissues
    • V. Alastrué, M.A. Martinez, A. Menzel, and M. Doblare On the use of non-linear transformations for the evaluation of anisotropic rotationally symmetric directional integrals. Application to the stress analysis in fibred soft tissues Int. J. Numer. Meth. Eng. 79 4 (July) 2009 474 504
    • (2009) Int. J. Numer. Meth. Eng. , vol.79 , Issue.JULY4 , pp. 474-504
    • Alastrué, V.1    Martinez, M.A.2    Menzel, A.3    Doblare, M.4
  • 3
    • 34447527686 scopus 로고    scopus 로고
    • Structural damage models for fibrous biological soft tissues
    • V. Alastrué, J. Rodriguez, B. Calvo, and M. Doblare Structural damage models for fibrous biological soft tissues Int. J. Solids Struct. 44 18-19 (September) 2007 5894 5911
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.SEPTEMBER18-19 , pp. 5894-5911
    • Alastrué, V.1    Rodriguez, J.2    Calvo, B.3    Doblare, M.4
  • 4
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
    • E.M. Arruda, and M.C. Boyce A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials J. Mech. Phys. Solids 41 2 (February) 1993 389 412
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.FEBRUARY2 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 5
    • 0001199893 scopus 로고
    • An antipodally symmetric distribution on the sphere
    • C. Bingham An antipodally symmetric distribution on the sphere Ann. Stat. 2 6 1974 1201 1225
    • (1974) Ann. Stat. , vol.2 , Issue.6 , pp. 1201-1225
    • Bingham, C.1
  • 6
    • 0030917648 scopus 로고    scopus 로고
    • Contrasting structure of the saphenous vein and internal mammary artery used as coronary bypass vessels
    • P.B. Canham, H.M. Finlay, and D.R. Boughner Contrasting structure of the saphenous vein and internal mammary artery used as coronary bypass vessels Cardiovasc. Res. 34 3 (June) 1997 557 567
    • (1997) Cardiovasc. Res. , vol.34 , Issue.JUNE3 , pp. 557-567
    • Canham, P.B.1    Finlay, H.M.2    Boughner, D.R.3
  • 7
    • 85047676877 scopus 로고
    • Measurementes from light and polarised light microscopy of human coronary arteries fixed at distending pressure
    • P.B. Canham, H.M. Finlay, J.G. Dixon, D.R. Boughner, and A. Chen Measurementes from light and polarised light microscopy of human coronary arteries fixed at distending pressure Cardiovasc. Res. 23 1989 973 982
    • (1989) Cardiovasc. Res. , vol.23 , pp. 973-982
    • Canham, P.B.1    Finlay, H.M.2    Dixon, J.G.3    Boughner, D.R.4    Chen, A.5
  • 8
    • 0025986339 scopus 로고
    • Medial collagen organization in human arteries of the heart and brain by polarized-light microscopy
    • P.B. Canham, E.A. Talman, H.M. Finlay, and J.G. Dixon Medial collagen organization in human arteries of the heart and brain by polarized-light microscopy Connect. Tissue Res. 26 1-2 1991 121 134
    • (1991) Connect. Tissue Res. , vol.26 , Issue.12 , pp. 121-134
    • Canham, P.B.1    Talman, E.A.2    Finlay, H.M.3    Dixon, J.G.4
  • 10
  • 11
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • P.J. Flory Thermodynamic relations for high elastic materials Trans. Faraday Soc. 57 1961 829 838
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.J.1
  • 12
    • 0004376035 scopus 로고
    • Pseudoelasticity of arteries and the choice of its mathematical expression
    • Y.C. Fung, K. Fronek, and P. Patitucci Pseudoelasticity of arteries and the choice of its mathematical expression Am. J. Physiol. Heart Circ. Physiol. 237 5 1979 H620 H631
    • (1979) Am. J. Physiol. Heart Circ. Physiol. , vol.237 , Issue.5
    • Fung, Y.C.1    Fronek, K.2    Patitucci, P.3
  • 13
    • 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 2006 15 35
    • (2006) J. R. Soc. Interface , vol.3 , pp. 15-35
    • Gasser, T.C.1    Ogden, R.W.2    Holzapfel, G.A.3
  • 14
    • 23844500813 scopus 로고    scopus 로고
    • A micro-macro approach to rubber-like materials. Part III: The micro-sphere model of anisotropic Mullins-type damage
    • DOI 10.1016/j.jmps.2005.04.010, PII S002250960500092X
    • S. Göktepe, and C. Miehe A micro-macro approach to rubber-like materials. Part III: the micro-sphere model of anisotropic mullins-type damage J. Mech. Phys. Solids 53 10 (October) 2005 2259 2283 (Pubitemid 41165641)
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , Issue.10 , pp. 2259-2283
    • Goktepe, S.1    Miehe, C.2
  • 15
    • 0041027160 scopus 로고    scopus 로고
    • Constructing fully symmetric cubature formulae for the sphere
    • S. Heo, and Y. Xu Constructing fully symmetric cubature formulae for the sphere Math. Comput. 70 2001 269 279 (Pubitemid 33574345)
    • (2001) Mathematics of Computation , vol.70 , Issue.233 , pp. 269-279
    • Heo, S.1    Xu, Y.2
  • 16
    • 0000202526 scopus 로고
    • Bessel functions of matrix argument
    • C.S. Herz Bessel functions of matrix argument Ann. Math. 61 3 1955 474 523
    • (1955) Ann. Math. , vol.61 , Issue.3 , pp. 474-523
    • Herz, C.S.1
  • 17
    • 29244438477 scopus 로고    scopus 로고
    • Determination of material models for arterial walls from uniaxial extension tests and histological structure
    • G.A. Holzapfel Determination of material models for arterial walls from uniaxial extension tests and histological structure J. Theor. Biol. 238 2 (January) 2006 290 302
    • (2006) J. Theor. Biol. , vol.238 , Issue.JANUARY2 , pp. 290-302
    • Holzapfel, G.A.1
  • 18
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • G.A. Holzapfel, T.C. Gasser, and R.W. Ogden A new constitutive framework for arterial wall mechanics and a comparative study of material models J. Elasticity V61 1 (July) 2000 1 48
    • (2000) J. Elasticity , vol.61 , Issue.JULY1 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 19
    • 27144475777 scopus 로고    scopus 로고
    • Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling
    • G.A. Holzapfel, G. Sommer, C.T. Gasser, and P. Regitnig Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling Am. J. Physiol. Heart Circ. Physiol. 289 5 (November) 2005 H2048 H2058
    • (2005) Am. J. Physiol. Heart Circ. Physiol. , vol.289 , Issue.NOVEMBER5
    • Holzapfel, G.A.1    Sommer, G.2    Gasser, C.T.3    Regitnig, P.4
  • 20
    • 33744976084 scopus 로고    scopus 로고
    • On the convexity of transversely isotropic chain network models
    • E. Kuhl, A. Menzel, and K. Garikipati On the convexity of transversely isotropic chain network models Philos. Magn. 86 2006 3241 3258
    • (2006) Philos. Magn. , vol.86 , pp. 3241-3258
    • Kuhl, E.1    Menzel, A.2    Garikipati, K.3
  • 21
    • 68749093661 scopus 로고    scopus 로고
    • Master's thesis, Royal Institute of Technology in Stockholm, Department of Solid Mechanics and Ghent University, Department of Civil Engineering
    • Landuyt, M., 2006. Structural quantification of collagen fibers in abdominal aortic aneurysms. Master's thesis, Royal Institute of Technology in Stockholm, Department of Solid Mechanics and Ghent University, Department of Civil Engineering.
    • (2006) Structural Quantification of Collagen Fibers in Abdominal Aortic Aneurysms
    • Landuyt, M.1
  • 22
    • 0020586767 scopus 로고
    • Constitutive equations for fibrous connective tissues
    • Y. Lanir Constitutive equations for fibrous connective tissues J. Biomech. 16 1 1983 1 12
    • (1983) J. Biomech. , vol.16 , Issue.1 , pp. 1-12
    • Lanir, Y.1
  • 23
    • 23844545370 scopus 로고    scopus 로고
    • A micro-macro approach to rubber-like materials. Part II: The micro-sphere model of finite rubber viscoelasticity
    • DOI 10.1016/j.jmps.2005.04.006, PII S0022509605000918
    • C. Miehe, and S. Göktepe A micro-macro approach to rubber-like materials. Part II: the micro-sphere model of finite rubber viscoelasticity J. Mech. Phys. Solids 53 10 (October) 2005 2231 2258 (Pubitemid 41165640)
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , Issue.10 , pp. 2231-2258
    • Miehe, C.1    Goktepe, S.2
  • 24
    • 4544245878 scopus 로고    scopus 로고
    • A micro-macro approach to rubber-like materials. Part I: The non-affine micro-sphere model of rubber elasticity
    • C. Miehe, S. Göktepe, and F. Lulei A micro-macro approach to rubber-like materials. Part I: the non-affine micro-sphere model of rubber elasticity J. Mech. Phys. Solids 52 11 (November) 2004 2617 2660
    • (2004) J. Mech. Phys. Solids , vol.52 , Issue.NOVEMBER11 , pp. 2617-2660
    • Miehe, C.1    Göktepe, S.2    Lulei, F.3
  • 26
    • 0030213907 scopus 로고    scopus 로고
    • Finite element implementation of incompressible, transversely isotropic hyperelasticity
    • J.A. Weiss, B.N. Maker, and S. Govindjee Finite element implementation of incompressible, transversely isotropic hyperelasticity Comput. Method Appl. M 135 1-2 (August) 1996 107 128
    • (1996) Comput. Method Appl. M , vol.135 , Issue.AUGUST1-2 , pp. 107-128
    • Weiss, J.A.1    Maker, B.N.2    Govindjee, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.