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Volumn 35, Issue 1, 2007, Pages 30-44

An experimentally derived stress resultant shell model for heart valve dynamic simulations

Author keywords

Bioprosthesis; Dynamic simulation; Finite element analysis; Heart valves; Shell model

Indexed keywords

BIOMEDICAL ENGINEERING; CARDIOVASCULAR SURGERY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PATHOLOGY;

EID: 33845504674     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9203-8     Document Type: Article
Times cited : (49)

References (42)
  • 2
    • 0030297644 scopus 로고    scopus 로고
    • A new approach to mechanical testing and modeling of biological tissues, with application to blood vessels
    • Brossollet, L. J. and R. P. Vito. A new approach to mechanical testing and modeling of biological tissues, with application to blood vessels. J. Biomech. Eng. 118:433-439, 1996.
    • (1996) J. Biomech. Eng. , vol.118 , pp. 433-439
    • Brossollet, L.J.1    Vito, R.P.2
  • 3
    • 0037409594 scopus 로고    scopus 로고
    • A novel bioreactor for the dynamic flexural stimulation of tissue engineered heart valve biomaterials
    • Engelmayr, G. C., D. K. Hildebrand, F. W. Sutherland, J. E. Mayer, and M. S. Sacks. A novel bioreactor for the dynamic flexural stimulation of tissue engineered heart valve biomaterials. Biomaterials 24:2523-2532, 2003.
    • (2003) Biomaterials , vol.24 , pp. 2523-2532
    • Engelmayr, G.C.1    Hildebrand, D.K.2    Sutherland, F.W.3    Mayer, J.E.4    Sacks, M.S.5
  • 4
    • 33751575445 scopus 로고
    • Exact theory of stress and strain in rod and shells
    • Erickssen, J. L. and C. Truesdell. Exact theory of stress and strain in rod and shells. Arch. Ration. Mech. Anal. 1:295-323, 1958.
    • (1958) Arch. Ration. Mech. Anal. , vol.1 , pp. 295-323
    • Erickssen, J.L.1    Truesdell, C.2
  • 5
    • 0025894894 scopus 로고
    • What are the residual stresses doing in our blood vessels?
    • Fung, Y. C. What are the residual stresses doing in our blood vessels? Ann. Biomed. Eng. 19:237-249, 1991.
    • (1991) Ann. Biomed. Eng. , vol.19 , pp. 237-249
    • Fung, Y.C.1
  • 7
    • 0036205994 scopus 로고    scopus 로고
    • Dynamic analysis of the aortic valve using a finite element model
    • Gnyaneshwar, R., R. K. Kumar, and K. R. Balakrishnan. Dynamic analysis of the aortic valve using a finite element model. Ann. Thorac. Surg. 73:1122-1129, 2002.
    • (2002) Ann. Thorac. Surg. , vol.73 , pp. 1122-1129
    • Gnyaneshwar, R.1    Kumar, R.K.2    Balakrishnan, K.R.3
  • 9
    • 0026923353 scopus 로고
    • Theory and finite-element formulation of rubber-like membrane shells using principal stretches
    • Gruttmann, F. and R. L. Taylor. Theory and finite-element formulation of rubber-like membrane shells using principal stretches. Int. J. Numer. Meth. Eng. 35:1111-1126, 1992.
    • (1992) Int. J. Numer. Meth. Eng. , vol.35 , pp. 1111-1126
    • Gruttmann, F.1    Taylor, R.L.2
  • 11
    • 0030148461 scopus 로고    scopus 로고
    • Large strain analysis of soft biological membranes: Formulation and finite element analysis
    • Holzapfel, G. A., R. Eberlein, P. Wriggers, and H. W. Weizsacker. Large strain analysis of soft biological membranes: formulation and finite element analysis. Comp. Meth. Appl. Mech. Eng. 132:45-61, 1996.
    • (1996) Comp. Meth. Appl. Mech. Eng. , vol.132 , pp. 45-61
    • Holzapfel, G.A.1    Eberlein, R.2    Wriggers, P.3    Weizsacker, H.W.4
  • 12
    • 0025113785 scopus 로고
    • A two-dimensional finite element analysis of a bioprosthetic heart valve
    • Huang, X., M. M. Black, I. C. Howard, and E. A. Patterson. A two-dimensional finite element analysis of a bioprosthetic heart valve. J. Biomech. 23:753-762, 1990.
    • (1990) J. Biomech. , vol.23 , pp. 753-762
    • Huang, X.1    Black, M.M.2    Howard, I.C.3    Patterson, E.A.4
  • 13
    • 0035544009 scopus 로고    scopus 로고
    • Dynamic in vitro quantification of bioprosthetic heart valve leaflet motion using structured light projection
    • Iyengar, A. K. S., H. Sugimoto, D. B. Smith, and M. S. Sacks. Dynamic in vitro quantification of bioprosthetic heart valve leaflet motion using structured light projection. Ann. Biomed. Eng. 29:963-973, 2001.
    • (2001) Ann. Biomed. Eng. , vol.29 , pp. 963-973
    • Iyengar, A.K.S.1    Sugimoto, H.2    Smith, D.B.3    Sacks, M.S.4
  • 14
    • 33750304262 scopus 로고    scopus 로고
    • Dynamic simulation of the opening phase of pericardial bioprosthetic heart valve function
    • in-press
    • Kim, H., J. Lu, M. S. Sacks, and K. B. Chandran. Dynamic simulation of the opening phase of pericardial bioprosthetic heart valve function. J. Biomech. Eng. 2006 (in-press).
    • (2006) J. Biomech. Eng.
    • Kim, H.1    Lu, J.2    Sacks, M.S.3    Chandran, K.B.4
  • 15
    • 4444245320 scopus 로고    scopus 로고
    • The effects of collagen fiber orientation on the flexural properties of pericardial heterograft biomaterials
    • Mirnajafi, A., J. Raymer, M. J. Scott, and M. S. Sacks. The effects of collagen fiber orientation on the flexural properties of pericardial heterograft biomaterials. Biomaterials 26:795-804, 2005.
    • (2005) Biomaterials , vol.26 , pp. 795-804
    • Mirnajafi, A.1    Raymer, J.2    Scott, M.J.3    Sacks, M.S.4
  • 16
    • 0000838996 scopus 로고    scopus 로고
    • The theory of plates and shells
    • Springer-Verlag, New York
    • Naghdi, P. M. The Theory of Plates and Shells. In Handbuch der Physik, VIa/2. Springer-Verlag, New York.
    • Handbuch der Physik , vol.6 A , Issue.2
    • Naghdi, P.M.1
  • 18
    • 0033212686 scopus 로고    scopus 로고
    • A method for planar biaxial mechanical testing that includes in-plane shear
    • Sacks, M. S. A method for planar biaxial mechanical testing that includes in-plane shear. J. Biomech. Eng. 121:551-555, 1999.
    • (1999) J. Biomech. Eng. , vol.121 , pp. 551-555
    • Sacks, M.S.1
  • 19
    • 0034434786 scopus 로고    scopus 로고
    • Biaxial mechanical evaluation of planar biological materials
    • Sacks, M. S. Biaxial mechanical evaluation of planar biological materials. J. Elasticity 61:199-246, 2000.
    • (2000) J. Elasticity , vol.61 , pp. 199-246
    • Sacks, M.S.1
  • 20
    • 0037397670 scopus 로고    scopus 로고
    • Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues
    • Sacks, M. S. Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues. J. Biomech. Eng. 125:280-287, 2003.
    • (2003) J. Biomech. Eng. , vol.125 , pp. 280-287
    • Sacks, M.S.1
  • 21
    • 0642274854 scopus 로고    scopus 로고
    • Multiaxial mechanical behavior of biological materials
    • Sacks, M. S., and W. Sun. Multiaxial mechanical behavior of biological materials. Annu. Rev. Biomed. Eng. 5:251-284, 2003.
    • (2003) Annu. Rev. Biomed. Eng. , vol.5 , pp. 251-284
    • Sacks, M.S.1    Sun, W.2
  • 22
    • 0031981492 scopus 로고    scopus 로고
    • Pathologic findings in explanted clinical bioprosthetic valves fabricated from photooxidized bovine pericardium
    • Schoen, F. J. Pathologic findings in explanted clinical bioprosthetic valves fabricated from photooxidized bovine pericardium. J. Heart Valve Dis. 7:174-179, 1998.
    • (1998) J. Heart Valve Dis. , vol.7 , pp. 174-179
    • Schoen, F.J.1
  • 23
    • 0028237010 scopus 로고
    • Pathology of substitute heart valves: New concepts and developments
    • Schoen, F. J., and R. J. Levy. Pathology of substitute heart valves: new concepts and developments. J. Card. Surg. 9:222-227, 1994.
    • (1994) J. Card. Surg. , vol.9 , pp. 222-227
    • Schoen, F.J.1    Levy, R.J.2
  • 24
    • 0033572873 scopus 로고    scopus 로고
    • Tissue heart valves: Current challenges and future research perspectives
    • Schoen, F. J. and R. J. Levy. Tissue heart valves: current challenges and future research perspectives. J. Biomed. Mater. Res. 47:439-465, 1999.
    • (1999) J. Biomed. Mater. Res. , vol.47 , pp. 439-465
    • Schoen, F.J.1    Levy, R.J.2
  • 25
    • 36248938820 scopus 로고
    • Pathological considerations in replacement cardiac valves
    • Schoen, F. J., R. J. Levy, and H. R. Piehler. Pathological considerations in replacement cardiac valves. Cardiovasc. Pathol. 1:29-52, 1992.
    • (1992) Cardiovasc. Pathol. , vol.1 , pp. 29-52
    • Schoen, F.J.1    Levy, R.J.2    Piehler, H.R.3
  • 26
    • 0027659854 scopus 로고
    • On a stress resultant geometrically exact shell-model. 7. Shell intersections with 5/6-Dof finite-element formulations
    • Simo, J. C. On a stress resultant geometrically exact shell-model. 7. Shell intersections with 5/6-Dof finite-element formulations. Comp. Meth. Appl. Mechan. Eng. 108:319-339, 1993.
    • (1993) Comp. Meth. Appl. Mechan. Eng. , vol.108 , pp. 319-339
    • Simo, J.C.1
  • 27
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell-model. 1. Formulation and optimal parametrization
    • Simo, J. C., and D. D. Fox. On a stress resultant geometrically exact shell-model. 1. Formulation and optimal parametrization. Comp. Meth. Appl. Mech. Eng. 72:267-304, 1989.
    • (1989) Comp. Meth. Appl. Mech. Eng. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 28
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell-model. 2. The linear-theory - Computational aspects
    • Simo, J. C., D. D. Fox, and M. S. Rifai. On a stress resultant geometrically exact shell-model. 2. The linear-theory - computational aspects. Comp. Meth. Appl. Mech. Eng. 73:53-92, 1989.
    • (1989) Comp. Meth. Appl. Mech. Eng. , vol.73 , pp. 53-92
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 29
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell-model. 3. Computational aspects of the nonlinear-theory
    • Simo, J. C., D. D. Fox, and M. S. Rifai. On a stress resultant geometrically exact shell-model. 3. Computational aspects of the nonlinear-theory. Comp. Meth. Appl. Mech. Eng. 79:21-70, 1990.
    • (1990) Comp. Meth. Appl. Mech. Eng. , vol.79 , pp. 21-70
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 30
    • 0026852491 scopus 로고
    • On a stress resultant geometrically exact shell-model. 5. Nonlinear plasticity - Formulation and integration algorithms
    • Simo, J. C. and J. G. Kennedy. On a stress resultant geometrically exact shell-model. 5. Nonlinear plasticity - formulation and integration algorithms. Comp. Meth. Appl. Mech. Eng. 96:133-171, 1992.
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.96 , pp. 133-171
    • Simo, J.C.1    Kennedy, J.G.2
  • 31
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell-model. 4. Variable thickness shells with through-the-thickness stretching
    • Simo, J. C., M. S. Rifai, and D. D. Fox. On a stress resultant geometrically exact shell-model. 4. Variable thickness shells with through-the-thickness stretching. Comp. Meth. Appl. Mech. Eng. 81:91-126, 1990.
    • (1990) Comp. Meth. Appl. Mech. Eng. , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 32
    • 0026835633 scopus 로고
    • On a stress resultant geometrically exact shell-model. 6. Conserving algorithms for nonlinear dynamics
    • Simo, J. C., M. S. Rifai, and D. D. Fox. On a stress resultant geometrically exact shell-model. 6. Conserving algorithms for nonlinear dynamics. Int. J. Numer. Meth. Eng. 34:117-164, 1992.
    • (1992) Int. J. Numer. Meth. Eng. , vol.34 , pp. 117-164
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 33
    • 0033023285 scopus 로고    scopus 로고
    • Fatigue-induced changes in bioprosthetic heart valve three-dimensional geometry and the relation to tissue damage
    • Smith, D. B., M. S. Sacks, P. M. Pattany, and R. Schroeder. Fatigue-induced changes in bioprosthetic heart valve three-dimensional geometry and the relation to tissue damage. J. Heart Valve Dis. 8:25-33, 1999.
    • (1999) J. Heart Valve Dis. , vol.8 , pp. 25-33
    • Smith, D.B.1    Sacks, M.S.2    Pattany, P.M.3    Schroeder, R.4
  • 34
    • 33845476671 scopus 로고    scopus 로고
    • On the biaxial mechanical properties of the layers of the valve leaflet
    • in-press
    • Stella, J. A., and M. S. Sacks. On the biaxial mechanical properties of the layers of the valve leaflet. J. Biomech. Eng. 2006 (in-press).
    • (2006) J. Biomech. Eng.
    • Stella, J.A.1    Sacks, M.S.2
  • 35
    • 27444446944 scopus 로고    scopus 로고
    • Simulated bioprosthetic heart valve deformation under quasi-static loading
    • Sun, W., A. Abad, and M. S. Sacks. Simulated bioprosthetic heart valve deformation under quasi-static loading. J. Biomech. Eng.-Trans. Asme. 127:905-914, 2005.
    • (2005) J. Biomech. Eng.-trans. Asme. , vol.127 , pp. 905-914
    • Sun, W.1    Abad, A.2    Sacks, M.S.3
  • 36
    • 0037698105 scopus 로고    scopus 로고
    • Biaxial mechanical response of bioprosthetic heart valve biomaterials to high in-plane shear
    • Sun, W., M. S. Sacks, T. L. Sellaro, W. S. Slaughter, and M. J. Scott. Biaxial mechanical response of bioprosthetic heart valve biomaterials to high in-plane shear. J. Biomech. Eng. 125:372-380, 2003.
    • (2003) J. Biomech. Eng. , vol.125 , pp. 372-380
    • Sun, W.1    Sacks, M.S.2    Sellaro, T.L.3    Slaughter, W.S.4    Scott, M.J.5
  • 37
    • 33750363297 scopus 로고    scopus 로고
    • University of California, Berkeley, Berkeley, CA
    • Taylor, R. L. FEAP User Manual: v7.5. University of California, Berkeley, Berkeley, CA.
    • FEAP User Manual: V7.5
    • Taylor, R.L.1
  • 39
    • 0020622216 scopus 로고
    • Role of mechanical stress in calcification of aortic bio-prosthetic valves
    • Thubrikar, M. J., J. D. Deck, J. Aouad, and S. P. Nolan. Role of mechanical stress in calcification of aortic bio-prosthetic valves. J. Thorac. Cardiovasc. Surg. 86:115-125, 1983.
    • (1983) J. Thorac. Cardiovasc. Surg. , vol.86 , pp. 115-125
    • Thubrikar, M.J.1    Deck, J.D.2    Aouad, J.3    Nolan, S.P.4
  • 40
    • 0032527096 scopus 로고    scopus 로고
    • Prevention of calcification of glutaraldehyde-crosslinked porcine aortic cusps by ethanol preincubation: Mechanistic studies of protein structure and water-biomaterial relationships
    • Vyavahare, N. R., D. Hirsch, E. Lerner, J. Z. Baskin, R. Zand, F. J. Schoen, and R. J. Levy. Prevention of calcification of glutaraldehyde- crosslinked porcine aortic cusps by ethanol preincubation: mechanistic studies of protein structure and water-biomaterial relationships. J. Biomed. Mater. Res. 40:577-585, 1998.
    • (1998) J. Biomed. Mater. Res. , vol.40 , pp. 577-585
    • Vyavahare, N.R.1    Hirsch, D.2    Lerner, E.3    Baskin, J.Z.4    Zand, R.5    Schoen, F.J.6    Levy, R.J.7
  • 41
    • 0030213907 scopus 로고    scopus 로고
    • Finite element implementation of incompressible, transversely isotropic hyperelasticity
    • Weiss, J. A., B. N. Maker, and S. Govindjee. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comp. Meth. Appl. Mech. Eng. 135:107-128, 1996.
    • (1996) Comp. Meth. Appl. Mech. Eng. , vol.135 , pp. 107-128
    • Weiss, J.A.1    Maker, B.N.2    Govindjee, S.3


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