ALE Finite Element Analysis of the Opening and Closing Process of the Artificial Mechanical Valve

Zhang Jianhai; Chen Dapeng; Zou Shengquan

Volume 17 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(5): 387-396

Zhang Jianhai, Chen Dapeng, Zou Shengquan. ALE Finite Element Analysis of the Opening and Closing Process of the Artificial Mechanical Valve[J]. Applied Mathematics and Mechanics, 1996, 17(5): 387-396.

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ALE Finite Element Analysis of the Opening and Closing Process of the Artificial Mechanical Valve

1.
Institute of Computational Engineering Science, Southwest Jiaotong University, Chengdu Sichuan 610031, P. R. China;
2.
Department of Engineering Mechanics, Sichuan Union University, Chengdu Sichuan 610065, P. R. China

Received Date: 1995-03-31
Publish Date: 1996-05-15

Abstract

Abstract

Employing arbitrary Lagrangian-Eulerian (ALE) finite element method, this poper studies the opening and closing process of a St. Jude medical valve through a two-dimensional model of the mechanical valve-blood interaction in which the valve is regarded as a rigid body rotating around a fixed point, and the blood is simplified as viscous incompressible Newtonian fluid. The numerical analysis of the opening and closing behaviour of as St. Jude valve suggested that: 1. The whole opening and closing process of an artificial mechanical valve is consisted of four phases: Ⅰ Opening phase; Ⅱ Opening maintenance phase; Ⅲ Closing phase; Ⅳ Closing maintenance phase. 2. The St. Jude medical valve closes with prominent regurgitat which results in waterhammer effect. 3. During the opening and closing process of the St. Jude valve,high shear stresses occur in the middle region of the two leaflets and on the valve ring. The present model has made a breakthrough on the coupling computational analysis considering the interactive movement of the valve and blood.
- artificial mechanical valve,
- ALE finite element method,
- fluidsolid interaction

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References(26)

References

[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 (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 (1983),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.Math.and Mech.(Engfish Ed.),7,10 (1986),955-964.
[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]	Swanson,et al.,Flow and pressure measurement in accelerated fatigue testing of prosthetic heartwalves,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.App!.Mech.Engrg.,58(1986),227-245.
[14]	J.Donea,S.Giuliani and J.P.Halleux,An arbitrary Lagrangian-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.;3.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]	邹盛栓,《血流动力学与心血管人工器官》,成都科技大学出版社,成都(1991).
[21]	C.Cuvelier,A.Segal and A.A.Van Steenhoven,Finite Element Methods and Navier-Stokes Equations,Reidel.Dordrecht,(1985).
[22]	F.N.Van Vosse,A.Segal,A finite element approximation of the unsteady two-dimensional Navier-Stokes equations,Int.J.Num.Meths.Fluid.,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.Biomech.,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 vivo recorded aortic valve closure,J.Biomechs.,15,11 (1982),841-848.
[26]	K.B.Chandran,et al.,Effect of prosthetic mural valve geometry and orientation on flow dynamics in a model human left ventricle,J.Biomechs.,22,1 (1989),51-65.

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