메뉴 건너뛰기




Volumn 40, Issue 3, 2007, Pages 705-711

A finite shell element for heart mitral valve leaflet mechanics, with large deformations and 3D constitutive material model

Author keywords

Incompressible; Large strain; Mitral valve; Shell element; Transversely isotropic

Indexed keywords

ALGORITHMS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; INTEGRATION; INTERPOLATION; MATHEMATICAL MODELS;

EID: 33846210627     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2006.01.003     Document Type: Article
Times cited : (34)

References (20)
  • 2
    • 17644447642 scopus 로고    scopus 로고
    • A general high-order finite element formulation for shells at large strains and finite rotations
    • Basar Y., Hanskotter U., et al. A general high-order finite element formulation for shells at large strains and finite rotations. International Journal for Numerical Methods in Engineering 57 (2003) 2147-2175
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , pp. 2147-2175
    • Basar, Y.1    Hanskotter, U.2
  • 4
    • 0030102317 scopus 로고    scopus 로고
    • A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
    • Betsch P., Gruttmann F., et al. A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains. Computer Methods in Applied Mechanics and Engineering 130 (1996) 57-79
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 57-79
    • Betsch, P.1    Gruttmann, F.2
  • 6
    • 33846243526 scopus 로고    scopus 로고
    • Dvorkin, E.N., 1984. On nonlinear finite element analysis of shell structures. Ph.D. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology.
  • 7
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general non-linear analysis
    • Dvorkin E.N., and Bathe K.J. A continuum mechanics based four-node shell element for general non-linear analysis. Engineering Computations 1 (1984) 77-88
    • (1984) Engineering Computations , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.J.2
  • 9
    • 10244261700 scopus 로고    scopus 로고
    • Haemodynamic determinants of the mitral valve closure sound: a finite element study
    • Einstein D.R., Kunzelman K.S., et al. Haemodynamic determinants of the mitral valve closure sound: a finite element study. Medical and Biological Engineering and Computing 42 (2004) 832-846
    • (2004) Medical and Biological Engineering and Computing , vol.42 , pp. 832-846
    • Einstein, D.R.1    Kunzelman, K.S.2
  • 10
    • 0037212420 scopus 로고    scopus 로고
    • A three-dimensional computational analysis of fluid-structure interaction in the aortic valve
    • Hart J.D., Peters G.W.M., et al. A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. Journal of Biomechanics 36 (2003) 103-112
    • (2003) Journal of Biomechanics , vol.36 , pp. 103-112
    • Hart, J.D.1    Peters, G.W.M.2
  • 11
    • 0036921313 scopus 로고    scopus 로고
    • Using finite strain 3D-material models in beam and shell elements
    • Klinkel S., and Govindjee S. Using finite strain 3D-material models in beam and shell elements. Engineering Computations 19 8 (2002) 902-921
    • (2002) Engineering Computations , vol.19 , Issue.8 , pp. 902-921
    • Klinkel, S.1    Govindjee, S.2
  • 14
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV: variable thickness shells with through-the-thickness stretching
    • Simo J.C., Rifai M.S., et al. On a stress resultant geometrically exact shell model. Part IV: variable thickness shells with through-the-thickness stretching. Computer Methods in Applied Mechanics and Engineering 81 (1990) 91-126
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, M.S.2
  • 16
    • 0023170746 scopus 로고
    • A finite-element formulation for nonlinear incompressible elastic and ineslastic analysis
    • Sussman T., and Bathe K.J. A finite-element formulation for nonlinear incompressible elastic and ineslastic analysis. Computers and Structures 26 1-2 (1987) 357-409
    • (1987) Computers and Structures , vol.26 , Issue.1-2 , pp. 357-409
    • Sussman, T.1    Bathe, K.J.2
  • 17
    • 0242523197 scopus 로고    scopus 로고
    • A stabilized eighteen-node solid element for hyperelastic analysis of shells
    • Sze K.Y., Zheng S.J., et al. A stabilized eighteen-node solid element for hyperelastic analysis of shells. Finite Elements in Analysis and Design 40 (2004) 319-340
    • (2004) Finite Elements in Analysis and Design , vol.40 , pp. 319-340
    • Sze, K.Y.1    Zheng, S.J.2
  • 18
    • 0036854454 scopus 로고    scopus 로고
    • 3-D computational analysis of the stress distribution on the leaflets after edge-to-edge repair of mitral regurgitation
    • Votta E., Maisano F., et al. 3-D computational analysis of the stress distribution on the leaflets after edge-to-edge repair of mitral regurgitation. Journal of Heart Valve Disease 11 6 (2002) 810-822
    • (2002) Journal of Heart Valve Disease , vol.11 , Issue.6 , pp. 810-822
    • Votta, E.1    Maisano, F.2
  • 19
    • 25144524730 scopus 로고    scopus 로고
    • On the constitutive models for heart valve leaflet mechanics
    • Weinberg E.J., and Kaazempur-Mofrad M. On the constitutive models for heart valve leaflet mechanics. Cardiovascular Engineering 5 1 (2005) 37-43
    • (2005) Cardiovascular Engineering , vol.5 , Issue.1 , pp. 37-43
    • Weinberg, E.J.1    Kaazempur-Mofrad, M.2
  • 20
    • 33846184445 scopus 로고    scopus 로고
    • Weinberg, E.J., Kaazempur-Mofrad, M., 2005b. A large-strain finite element formulation for biological tissues with application to mitral valve mechanics. Journal of Biomechanics, in press.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.