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Volumn 68, Issue 8, 2006, Pages 836-860

On the numerical treatment of initial strains in biological soft tissues

Author keywords

Fibred materials; Finite element method; Human ligaments; Initial Strains; Orthotropic hyperelastic material

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; RESIDUAL STRESSES; STRAIN; TISSUE;

EID: 33751049777     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1726     Document Type: Article
Times cited : (44)

References (57)
  • 1
    • 0027699601 scopus 로고
    • The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress
    • Hoger A. The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress. Journal of Elasticity 1993; 33:107-118.
    • (1993) Journal of Elasticity , vol.33 , pp. 107-118
    • Hoger, A.1
  • 3
    • 0031031079 scopus 로고    scopus 로고
    • Residual stress in oscillating thoracic arteries reduce circumferential stresses and stress gradient
    • Chaudhry HR, Bukiet B, Davis A, Ritter AB, Findley T. Residual stress in oscillating thoracic arteries reduce circumferential stresses and stress gradient. Journal of Biomechanics 1997; 30:57-62.
    • (1997) Journal of Biomechanics , vol.30 , pp. 57-62
    • Chaudhry, H.R.1    Bukiet, B.2    Davis, A.3    Ritter, A.B.4    Findley, T.5
  • 4
    • 0033159466 scopus 로고    scopus 로고
    • Theoretical study of the effects of vascular smooth muscle contraction on strain and stress distributions in arteries
    • Rachev A, Hayashi K. Theoretical study of the effects of vascular smooth muscle contraction on strain and stress distributions in arteries. Annals of Biomedical Engineering 1999; 27(4):459-468.
    • (1999) Annals of Biomedical Engineering , vol.27 , Issue.4 , pp. 459-468
    • Rachev, A.1    Hayashi, K.2
  • 6
    • 0031106717 scopus 로고    scopus 로고
    • Direct measurement of strain in the posterolateral bundle of the anterior cruciate ligament
    • Bach JM, Hull ML, Patterson HA. Direct measurement of strain in the posterolateral bundle of the anterior cruciate ligament. Journal of Biomechanics 1997; 30:281-283.
    • (1997) Journal of Biomechanics , vol.30 , pp. 281-283
    • Bach, J.M.1    Hull, M.L.2    Patterson, H.A.3
  • 9
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory PJ. Thermodynamic relations for high elastic materials. Transaction of the Faraday Society 1961; 57:829-838.
    • (1961) Transaction of the Faraday Society , vol.57 , pp. 829-838
    • Flory, P.J.1
  • 12
    • 0001416793 scopus 로고
    • Theory of invariants
    • In Academic Press: New York
    • Spencer AJM. Theory of invariants. In Continuum Physiscs. Academic Press: New York, 1954; 239-253.
    • (1954) Continuum Physiscs , pp. 239-253
    • Spencer, A.J.M.1
  • 13
    • 0015799968 scopus 로고
    • Bioreheology of soft tissues
    • Fung YC. Bioreheology of soft tissues. Bioreheology 1973; 10:139-155.
    • (1973) Bioreheology , vol.10 , pp. 139-155
    • Fung, Y.C.1
  • 14
    • 0034286941 scopus 로고    scopus 로고
    • Three-dimensional deformation and stress distribution in an analytical/computational model of the anterior cruciate ligament
    • Hirokawa S, Tsuruno R. Three-dimensional deformation and stress distribution in an analytical/computational model of the anterior cruciate ligament. Journal of Biomechanics 2000; 33:1069-1077.
    • (2000) Journal of Biomechanics , vol.33 , pp. 1069-1077
    • Hirokawa, S.1    Tsuruno, R.2
  • 15
    • 33751027808 scopus 로고
    • Papadrakakis M, Topping BHV (eds). Civil-Comp Ltd: U.K
    • Papadrakakis M, Topping BHV (eds). Advances in Non-Linear Finite Element Methods. Civil-Comp Ltd: U.K., 1994.
    • (1994) Advances in Non-Linear Finite Element Methods
  • 17
    • 0020952471 scopus 로고
    • On the foundations of biomechanics
    • (ASME)
    • Fung YC. On the foundations of biomechanics. Journal of Applied Mechanics (ASME) 1983; 50:1003-1009.
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 1003-1009
    • Fung, Y.C.1
  • 20
    • 0024471660 scopus 로고
    • A theoretically-based experimental approach for identifying vascular constitutive relations
    • Humphrey JD, Yin FCP, Strumpf RK. A theoretically-based experimental approach for identifying vascular constitutive relations. Biorheology 1989; 26:687-702.
    • (1989) Biorheology , vol.26 , pp. 687-702
    • Humphrey, J.D.1    Yin, F.C.P.2    Strumpf, R.K.3
  • 24
    • 0032096453 scopus 로고    scopus 로고
    • Anterior cruciate ligament strain in vivo: A review of previous work
    • Beynnon BD, Fleming BC. Anterior cruciate ligament strain in vivo: a review of previous work. Journal of Biomechanics 1998; 31:519-525.
    • (1998) Journal of Biomechanics , vol.31 , pp. 519-525
    • Beynnon, B.D.1    Fleming, B.C.2
  • 25
    • 33744522546 scopus 로고
    • Strain in the medial collateral ligament of the human knee: An autpsy study
    • Arms S, Boyle J, Johnson R, Pope M. Strain in the medial collateral ligament of the human knee: an autpsy study. Journal of Biomechanics 1995; 29:199-206.
    • (1995) Journal of Biomechanics , vol.29 , pp. 199-206
    • Arms, S.1    Boyle, J.2    Johnson, R.3    Pope, M.4
  • 26
    • 0142241264 scopus 로고    scopus 로고
    • Subject-specific finite element analysis of the human medial collateral ligament during valgus knee loading
    • Gardiner JC, Weiss JA. Subject-specific finite element analysis of the human medial collateral ligament during valgus knee loading. Journal of Orthopeadic Research 2003; 21:1098-1106.
    • (2003) Journal of Orthopeadic Research , vol.21 , pp. 1098-1106
    • Gardiner, J.C.1    Weiss, J.A.2
  • 27
    • 0035668366 scopus 로고    scopus 로고
    • Stress-modulated growth, residual stress, and vascular heterogeneity
    • (ASME)
    • Taber LA, Humphrey JD. Stress-modulated growth, residual stress, and vascular heterogeneity. Journal of Biomechanical Engineering (ASME) 2001; 123:528-535.
    • (2001) Journal of Biomechanical Engineering , vol.123 , pp. 528-535
    • Taber, L.A.1    Humphrey, J.D.2
  • 28
    • 0024764082 scopus 로고
    • Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction
    • (ASME)
    • Liu SQ, Fung YC. Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. Journal of Biomechanical Engineering (ASME) 1989; 111:325-335.
    • (1989) Journal of Biomechanical Engineering , vol.111 , pp. 325-335
    • Liu, S.Q.1    Fung, Y.C.2
  • 29
    • 0025865427 scopus 로고
    • Changes of zero-stress state of rat pulmonary arteries in hypoxic hypertension
    • Fung YC, Liu SQ. Changes of zero-stress state of rat pulmonary arteries in hypoxic hypertension. Journal of Applied Physiology 1991; 70:2455-2470.
    • (1991) Journal of Applied Physiology , vol.70 , pp. 2455-2470
    • Fung, Y.C.1    Liu, S.Q.2
  • 30
    • 0031214342 scopus 로고    scopus 로고
    • Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions
    • Rachev A. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. Journal of Biomechanics 1997; 30:819-827.
    • (1997) Journal of Biomechanics , vol.30 , pp. 819-827
    • Rachev, A.1
  • 32
    • 0031213686 scopus 로고    scopus 로고
    • Residual stress effects of the stress field in a thick wall finite element model of the human carotid bifurcation
    • Delfino A, Stergiopolus N, Moore JE, Meister J-J. Residual stress effects of the stress field in a thick wall finite element model of the human carotid bifurcation. Journal of Biomechanics 1997; 30:777-786.
    • (1997) Journal of Biomechanics , vol.30 , pp. 777-786
    • Delfino, A.1    Stergiopolus, N.2    Moore, J.E.3    Meister, J.-J.4
  • 33
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Gasser TC, Holzapfel GA, Ogden RW. 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
    • Gasser, T.C.1    Holzapfel, G.A.2    Ogden, R.W.3
  • 34
    • 33751059832 scopus 로고
    • Un nuevo planteamiento conceptual del MEC para su acoplamiento con el MER Aplicación a Mecánica de Sólidos en una filosofía de Mallado Adaptativo
    • Ph.D. Thesis, Centro Politécnico Superior, Universidad de Zaragoza
    • Calvo B. Un nuevo planteamiento conceptual del MEC para su acoplamiento con el MER Aplicación a Mecánica de Sólidos en una filosofía de Mallado Adaptativo. Ph.D. Thesis, Centro Politécnico Superior, Universidad de Zaragoza, 1994.
    • (1994)
    • Calvo, B.1
  • 35
    • 0003045174 scopus 로고
    • Structure and function of normal and healing tendons and ligaments
    • In Mow VC, Ratchiffe A, Woo SL-Y (eds). Springer: New York
    • Viidik A. Structure and function of normal and healing tendons and ligaments. In Biomechanics of Diarthorial Joints. Mow VC, Ratchiffe A, Woo SL-Y (eds). Springer: New York, 1990.
    • (1990) Biomechanics of Diarthorial Joints
    • Viidik, A.1
  • 39
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10:307-318.
    • (1992) Computational Mechanics , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 40
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin and local boundary integral equation methods
    • Atluri SN, Kim HG, Cho JY. A critical assessment of the truly meshless local Petrov-Galerkin and local boundary integral equation methods. Computational Mechanics 1999; 24:348-372.
    • (1999) Computational Mechanics , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 42
    • 0001484871 scopus 로고
    • A numerical method for solving partial differential equations on highly irregular evolving grids
    • Braun J, Sambridge M. A numerical method for solving partial differential equations on highly irregular evolving grids. Nature 1995; 376:655-660.
    • (1995) Nature , vol.376 , pp. 655-660
    • Braun, J.1    Sambridge, M.2
  • 43
    • 0037199030 scopus 로고    scopus 로고
    • Modeling three-dimensional piece-wise homogeneous domains using the α-shape based natural element method
    • Cueto E, Calvo B, Doblaré M. Modeling three-dimensional piece-wise homogeneous domains using the α-shape based natural element method. International Journal for Numerical Methods in Engimneering 2002; 54:871-897.
    • (2002) International Journal for Numerical Methods in Engimneering , vol.54 , pp. 871-897
    • Cueto, E.1    Calvo, B.2    Doblaré, M.3
  • 47
    • 0033877907 scopus 로고    scopus 로고
    • Dispersive properties of the natural element method
    • Bueche D, Sukumar N, Moran B. Dispersive properties of the natural element method. Computational Mechanics 2000; 25(2/3):207-219.
    • (2000) Computational Mechanics , vol.25 , Issue.2-3 , pp. 207-219
    • Bueche, D.1    Sukumar, N.2    Moran, B.3
  • 48
    • 0034301796 scopus 로고    scopus 로고
    • Imposing essential boundary conditions in the natural element method by means of density-scaled α-shapes
    • Cueto E, Doblaré M, Gracia L. Imposing essential boundary conditions in the natural element method by means of density-scaled α-shapes. International Journal for Numerical Methods in Engineering 2000; 49(4):519-546.
    • (2000) International Journal for Numerical Methods in Engineering , vol.49 , Issue.4 , pp. 519-546
    • Cueto, E.1    Doblaré, M.2    Gracia, L.3
  • 51
    • 0142135979 scopus 로고    scopus 로고
    • Fixed mesh and meshfree techniques in the numerical simulation of injection processes involving short fiber suspensions
    • Martinez MA, Cueto E, Doblare M, Chinesta F. Fixed mesh and meshfree techniques in the numerical simulation of injection processes involving short fiber suspensions. Journal of Non-Newtonian Fluid Mechanics 2003; 115:51-78.
    • (2003) Journal of Non-Newtonian Fluid Mechanics , vol.115 , pp. 51-78
    • Martinez, M.A.1    Cueto, E.2    Doblare, M.3    Chinesta, F.4
  • 52
    • 11044229631 scopus 로고    scopus 로고
    • Structural Dynamics Research Corporation. EDS
    • Structural Dynamics Research Corporation. I-Deas Tutorials. EDS, 2001.
    • (2001) I-Deas Tutorials
  • 53
  • 54
    • 0742304326 scopus 로고    scopus 로고
    • A three-dimensional finite element model of the human anterior cruciate ligament: A computational analysis with experimental validation
    • Song Y, Debski RE, Musahl V, Thomas M, Woo SL-Y. A three-dimensional finite element model of the human anterior cruciate ligament: a computational analysis with experimental validation. Journal of Biomechanics 2004; 37:383-390.
    • (2004) Journal of Biomechanics , vol.37 , pp. 383-390
    • Song, Y.1    Debski, R.E.2    Musahl, V.3    Thomas, M.4    Woo, S.L.-Y.5
  • 55
    • 0034880517 scopus 로고    scopus 로고
    • Circumferential measurement and analysis of strain distribution in the human acl using a photoelastic coating method
    • Hirokawa S, Yamamoto K, Kawada T. Circumferential measurement and analysis of strain distribution in the human acl using a photoelastic coating method. Journal of Biomechanics 2001; 34:1135-1143.
    • (2001) Journal of Biomechanics , vol.34 , pp. 1135-1143
    • Hirokawa, S.1    Yamamoto, K.2    Kawada, T.3
  • 56
    • 4444256453 scopus 로고    scopus 로고
    • Modelos numéricos para. mecénica cardiovascular de las paredes arteriales y sus procesos de adaptación
    • Ph.D. Thesis, Escuela Técnica Superior de Ingemeros de Caminos, Canales y Puertos, Universidad Politécnica de Madrid
    • Rodríguez J. Modelos numéricos para. mecénica cardiovascular de las paredes arteriales y sus procesos de adaptación. Ph.D. Thesis, Escuela Técnica Superior de Ingemeros de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, 2003.
    • (2003)
    • Rodríguez, J.1
  • 57
    • 0033795037 scopus 로고    scopus 로고
    • Effect of residual stress and heterogeneity on circumferential stress in the arterial wall
    • (ASME)
    • Peterson SJ, Okamoto RJ. Effect of residual stress and heterogeneity on circumferential stress in the arterial wall. Journal of Biomechanical Engineering (ASME) 2000; 122:454-456.
    • (2000) Journal of Biomechanical Engineering , vol.122 , pp. 454-456
    • Peterson, S.J.1    Okamoto, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.