A comparative study of the opening and closing process of two types of mechanical heart valves using ale finite element method

Applied Mathematics and Mechanics (English Edition)

Volumn 17, Issue 4, 1996, Pages 299-308

  Dapeng, Chen ^a   Jianhai, Zhang ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

ALE finite element method; Artificial mechanical valve; Fluid solid interaction

Indexed keywords

EID: 0012853853     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00193793     Document Type: Article

References (26)

1. B. J. Bellhouse, Velocity and pressure distributions in the aortic valve, J. Fluid Mech., 37 (1969), 587.
2. B. J. Bellhouse and L. Talbot, The fluid mechanics of the aortic valve, J. Fluid. Mech., 35 (1969), 721.
3. N. V. Gillani and W. M. Swanson, Time-dependent laminar incompressible flow through a spherical cavity, J. Fluid Mech., 78 (1976), 99.
4. J. L. Mercer, The movements of the dog's aortic valve studied by high-speed cineangiography, Brit. J. Radiol., 46 (1973), 344.
5. A. A. Van Steenhoven and M. E. H. Van Dongen, Model studies of the closing behaviour of the aortic valve, J. Fluid Mech., 90, 1 (1979), 21-32.
6. C. S. F. Lee and L. Talbot, A fluid-mechanical study of the closure of heart valves, J. Fluid Mech., 91, 1 (1979), 41-63.
7. T. K. Hung, Hydrodynamic analysis of the aortic valve mechanics, Adv. Cardiovasc Phys., 5, 1 (1983), 106-118.
8. W. M. Swanson and R. E. Clark, Aortic valve leaflet motion during systole, Circulation Res., 32 (1973), 42-48.
9. M. Lei and Z. H. Kang, Study of the closing mechanism of-natural heart valves, Appl. and Math. Mech. (English Ed.), 7, 10 (1986), 955-963.
10. S. X. Zhao and Z. X. Luo, The status of artificial heart valve, J. Biomed. Eng., 8, 3 (1991), 259-262. (in Chinese)
11. W. M. Swanson, et al., Flow and pressure measurement in accelerated fatigue testing of prosthetic heart valves, Proc. of Symp. at 14th Annul. Meeting of AAMT (1979).
12. T. Belytschko and D. P. Flanagan, Finite element methods with user-controlled meshes for fluid-structure interaction, Comput. Meths. Appl. Mech. Engrg., 33 (1982), 669-688.
13. W. K. Liu, T. Belytschko and H. Chang, An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials, Comput. Meths. Appl. Mech. Engrg., 58 (1986), 227-245.
14. J. Donea, S. Giuliani and J. P. Halleux, An arbitrary Lagrarigian-Eulerian finite element method for transient dynamic fluid-structure interactions, Comput. Meths. Appl. Mech. Engrg., 33 (1982), 689-723.
15. T. J. R. Hughes, W. K. Liu and T. K. Zimmermann, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Comput. Meths. Appl. Mech. Engrg., 29 (1981), 329-349.
16. B. Ramaswamy, Numerical simulation of unsteady viscous free surface flow, J. Comput. Physics, 90 (1990), 396-430.
17. D. K. Gartling and E. B. Becker, Finite element analysis of viscous, incompressible fluid flow, Part 1, Comput. Meths. Appl. Mech. Engrg., 8 (1976), 51-60.
18. D. K. Gartling and E. B. Becker, Finite element analysis of viscous, incompressible fluid flow, Part 2, Comput. Meths. Appl. Mech. Engrg., 8 (1976), 127-138.
19. W. K. Liu, H. Chang, J. S. Chen and T. Belytschko, Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Comput. Meths. Appl. Mech. Engrg., 68 (1988), 259-310.
20. S. Q. Zou, Hemodynamics and Cardiovascular Artificial Organs, Publishing House of Chengdu University of Science and Technology, Chengdu, Sichuan, China (1991). (in Chinese)
21. C. Cuvelier, A. Segal and A. A. Van Steenhoven, Finite Element Methods and Navier-Stokes Equation, Reidel, Dordrecht (1986).
22. F. N. Van Vosse and A. Segal, A finite element approximation of the unsteady two-dimensional Navier-Stokes equations, Int. J. Num. Meths. Fluids, 6 (1986), 427-443.
23. T. K. Hung and G. B. Schuessler, An analysis of the hemodynamics of the opening of the aortic valves, J. Biomechs., 10 (1977), 597-606.
24. S. R. Idelsohn, L. E. Costa and R. Ponso, A comparative computational study of blood flow through prosthetic heart valves using the finite element method, J. Biomechs., 18, 2 (1985), 97-115.
25. A. A. Van Steenhoven, T. J. A. G. Duppen and J. W. G. Cauwenberg, In vitro closing behaviour of Bjork-Shiley, St. Jude and Hancock heart valve prostheses in relation to the in vivo recorded aortic valve closure, J. Biomechs., 15, 11 (1982), 841-848.
26. K. B. Chandran, et al., Effect of prosthetic mitral valve geometry and orientation on flow dynamics in a model human left ventricle, J. Biomechs., 22, 1 (1989), 51-65.