메뉴 건너뛰기




Volumn 195, Issue 41-43, 2006, Pages 5685-5706

A coupled momentum method for modeling blood flow in three-dimensional deformable arteries

Author keywords

Blood flow; Finite element; Fluid solid interaction; Three dimensional; Wave propagation

Indexed keywords

BLOOD VESSELS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW INTERACTIONS; MATHEMATICAL MODELS; PHYSIOLOGY;

EID: 33746830062     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.11.011     Document Type: Article
Times cited : (459)

References (60)
  • 1
    • 0025891767 scopus 로고
    • Three-dimensional numerical analysis of pulsatile flow and wall shear stress in the carotid artery bifurcation
    • Perktold K., Resch M., and Peter R.O. Three-dimensional numerical analysis of pulsatile flow and wall shear stress in the carotid artery bifurcation. J. Biomech. 24 6 (1991) 409-420
    • (1991) J. Biomech. , vol.24 , Issue.6 , pp. 409-420
    • Perktold, K.1    Resch, M.2    Peter, R.O.3
  • 2
    • 0035988854 scopus 로고    scopus 로고
    • Image-based computational fluid dynamics modeling in realistic arterial geometries
    • Steinman D.A. Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann. Biomed. Engrg. 30 4 (2002) 483-497
    • (2002) Ann. Biomed. Engrg. , vol.30 , Issue.4 , pp. 483-497
    • Steinman, D.A.1
  • 3
    • 0032199174 scopus 로고    scopus 로고
    • Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis
    • Taylor C.A., Hughes T.J.R., and Zarins C.K. Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis. Ann. Biomed. Engrg. 26 6 (1998) 1-14
    • (1998) Ann. Biomed. Engrg. , vol.26 , Issue.6 , pp. 1-14
    • Taylor, C.A.1    Hughes, T.J.R.2    Zarins, C.K.3
  • 4
    • 0041381421 scopus 로고    scopus 로고
    • Three-dimensional computational fluid dynamics modeling of alterations in coronary wall shear stress produced by stent implantation
    • LaDisa Jr. J.F., Guler I., Olson L.E., Hettrick D.A., Kersten J.R., Warltier D.C., and Pagel P.S. Three-dimensional computational fluid dynamics modeling of alterations in coronary wall shear stress produced by stent implantation. Ann. Biomed. Engrg. 31 8 (2003) 972-980
    • (2003) Ann. Biomed. Engrg. , vol.31 , Issue.8 , pp. 972-980
    • LaDisa Jr., J.F.1    Guler, I.2    Olson, L.E.3    Hettrick, D.A.4    Kersten, J.R.5    Warltier, D.C.6    Pagel, P.S.7
  • 5
    • 4544362831 scopus 로고    scopus 로고
    • Transient and quasi-steady computational fluid dynamics study of a left ventricular assist device
    • Song X., Throckmorton A.L., Wood H.G., Allaire P.E., and Olsen D.B. Transient and quasi-steady computational fluid dynamics study of a left ventricular assist device. Asaio J. 50 5 (2004) 410-417
    • (2004) Asaio J. , vol.50 , Issue.5 , pp. 410-417
    • Song, X.1    Throckmorton, A.L.2    Wood, H.G.3    Allaire, P.E.4    Olsen, D.B.5
  • 6
    • 3242713162 scopus 로고    scopus 로고
    • Finite-element modeling of the hemodynamics of stented aneurysms
    • Stuhne G.R., and Steinman D.A. Finite-element modeling of the hemodynamics of stented aneurysms. Trans. ASME J. Biomech. Engrg. 126 3 (2004) 382-387
    • (2004) Trans. ASME J. Biomech. Engrg. , vol.126 , Issue.3 , pp. 382-387
    • Stuhne, G.R.1    Steinman, D.A.2
  • 7
    • 0029932469 scopus 로고    scopus 로고
    • Use of computational fluid dynamics in the design of surgical procedures: application to the study of competitive flows in cavo-pulmonary connections
    • de Leval M.R., Dubini G., Migliavacca F., Jalali H., Camporini G., Redington A., and Pietrabissa R. Use of computational fluid dynamics in the design of surgical procedures: application to the study of competitive flows in cavo-pulmonary connections. J. Thorac. Cardiovasc. Surg. 111 3 (1996) 502-513
    • (1996) J. Thorac. Cardiovasc. Surg. , vol.111 , Issue.3 , pp. 502-513
    • de Leval, M.R.1    Dubini, G.2    Migliavacca, F.3    Jalali, H.4    Camporini, G.5    Redington, A.6    Pietrabissa, R.7
  • 8
    • 0036375364 scopus 로고    scopus 로고
    • Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures
    • Lagana K., Dubini G., Migliavacca F., Pietrabissa R., Pennati G., Veneziani A., and Quarteroni A. Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology 39 3-4 (2002) 359-364
    • (2002) Biorheology , vol.39 , Issue.3-4 , pp. 359-364
    • Lagana, K.1    Dubini, G.2    Migliavacca, F.3    Pietrabissa, R.4    Pennati, G.5    Veneziani, A.6    Quarteroni, A.7
  • 9
    • 0032935875 scopus 로고    scopus 로고
    • Computational fluid dynamic and magnetic resonance analyses of flow distribution between the lungs after total cavopulmonary connection
    • Migliavacca F., Kilner P.J., Pennati G., Dubini G., Pietrabissa R., Fumero R., and de Leval M.R. Computational fluid dynamic and magnetic resonance analyses of flow distribution between the lungs after total cavopulmonary connection. IEEE Trans. Biomed. Engrg. 46 4 (1999) 393-399
    • (1999) IEEE Trans. Biomed. Engrg. , vol.46 , Issue.4 , pp. 393-399
    • Migliavacca, F.1    Kilner, P.J.2    Pennati, G.3    Dubini, G.4    Pietrabissa, R.5    Fumero, R.6    de Leval, M.R.7
  • 13
    • 0942269388 scopus 로고    scopus 로고
    • Blood-flow models of the circle of Willis from magnetic resonance data
    • Cebral J.R., Castro M.A., Soto O., Lohner R., and Alperin N. Blood-flow models of the circle of Willis from magnetic resonance data. J. Engrg. Math. 47 3-4 (2003) 369-386
    • (2003) J. Engrg. Math. , vol.47 , Issue.3-4 , pp. 369-386
    • Cebral, J.R.1    Castro, M.A.2    Soto, O.3    Lohner, R.4    Alperin, N.5
  • 14
    • 7644241840 scopus 로고    scopus 로고
    • Magnitude and role of wall shear stress on cerebral aneurysm - computational fluid dynamic study of 20 middle cerebral artery aneurysms
    • Shojima M., Oshima M., Takagi K., Torii R., Hayakawa M., Katada K., Morita A., and Kirino T. Magnitude and role of wall shear stress on cerebral aneurysm - computational fluid dynamic study of 20 middle cerebral artery aneurysms. Stroke 35 11 (2004) 2500-2505
    • (2004) Stroke , vol.35 , Issue.11 , pp. 2500-2505
    • Shojima, M.1    Oshima, M.2    Takagi, K.3    Torii, R.4    Hayakawa, M.5    Katada, K.6    Morita, A.7    Kirino, T.8
  • 15
    • 0344629878 scopus 로고    scopus 로고
    • Medical image-based computational model of pulsatile flow in saccular aneurisms
    • Salmon S., Thiriet M., and Gerbeau J.F. Medical image-based computational model of pulsatile flow in saccular aneurisms. Math. Modell. Numer. Anal. 37 4 (2003) 663-679
    • (2003) Math. Modell. Numer. Anal. , vol.37 , Issue.4 , pp. 663-679
    • Salmon, S.1    Thiriet, M.2    Gerbeau, J.F.3
  • 16
    • 0029329172 scopus 로고
    • Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model
    • Perktold K., and Rappitsch G. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J. Biomech. 28 7 (1995) 845-856
    • (1995) J. Biomech. , vol.28 , Issue.7 , pp. 845-856
    • Perktold, K.1    Rappitsch, G.2
  • 18
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
    • Formaggia L., Gerbeau J.F., Nobile F., and Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput. Methods Appl. Mech. Engrg. 191 6/7 (2001) 561-582
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.6-7 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.F.2    Nobile, F.3    Quarteroni, A.4
  • 19
    • 33645906891 scopus 로고    scopus 로고
    • I.E. Vignon-Clementel, C.A. Figueroa, K.E. Jansen, C.A. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Comput. Methods Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2005.04.014.
  • 20
    • 0019718251 scopus 로고
    • Lagrangian-Eulerian finite element formulation for incompressible viscous flows
    • Hughes T.J.R., Liu W.K., and Zimmermann T.K. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Methods Appl. Mech. Engrg. 29 (1981) 329-349
    • (1981) Comput. Methods Appl. Mech. Engrg. , vol.29 , pp. 329-349
    • Hughes, T.J.R.1    Liu, W.K.2    Zimmermann, T.K.3
  • 21
    • 0019609566 scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
    • Donea J., Giuliani S., and Halleux J.P. An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput. Methods Appl. Mech. Engrg. 33 1-3 (1982) 689-723
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.33 , Issue.1-3 , pp. 689-723
    • Donea, J.1    Giuliani, S.2    Halleux, J.P.3
  • 22
    • 0026820445 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests
    • Tezduyar T.E., Behr M., and Liou J. A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput. Methods Appl. Mech. Engrg. 94 3 (1992) 339-351
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.94 , Issue.3 , pp. 339-351
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 23
    • 0028372466 scopus 로고
    • Massively parallel finite element computation of incompressible flows involving fluid-body interactions
    • Mittal S., and Tezduyar T.E. Massively parallel finite element computation of incompressible flows involving fluid-body interactions. Comput. Methods Appl. Mech. Engrg. 112 1-4 (1994) 253-282
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.112 , Issue.1-4 , pp. 253-282
    • Mittal, S.1    Tezduyar, T.E.2
  • 24
    • 0035842860 scopus 로고    scopus 로고
    • The discrete geometric conservation law and the nonlinear stability of ale schemes for the solution of flow problems on moving grids
    • Farhat C., Geuzaine P., and Grandmont C. The discrete geometric conservation law and the nonlinear stability of ale schemes for the solution of flow problems on moving grids. J. Comput. Phys. 174 2 (2001) 669-694
    • (2001) J. Comput. Phys. , vol.174 , Issue.2 , pp. 669-694
    • Farhat, C.1    Geuzaine, P.2    Grandmont, C.3
  • 25
    • 4444311231 scopus 로고    scopus 로고
    • Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids
    • Farhat C., and Geuzaine P. Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids. Comput. Methods Appl. Mech. Engrg. 193 39-41 (2004) 4073-4095
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.39-41 , pp. 4073-4095
    • Farhat, C.1    Geuzaine, P.2
  • 26
    • 0035793736 scopus 로고    scopus 로고
    • Fluid structure interaction with large structural displacements
    • Le Tallec P., and Mouro J. Fluid structure interaction with large structural displacements. Comput. Methods Appl. Mech. Engrg. 190 24-25 (2001) 3039-3067
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.24-25 , pp. 3039-3067
    • Le Tallec, P.1    Mouro, J.2
  • 27
    • 0036138584 scopus 로고    scopus 로고
    • Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts
    • Leuprecht A., Perktold K., Prosi M., Berk T., Trubel W., and Schima H. Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts. J. Biomech. 35 2 (2002) 225-236
    • (2002) J. Biomech. , vol.35 , Issue.2 , pp. 225-236
    • Leuprecht, A.1    Perktold, K.2    Prosi, M.3    Berk, T.4    Trubel, W.5    Schima, H.6
  • 28
    • 0942280197 scopus 로고    scopus 로고
    • Blood flow in the human ascending aorta: a combined MRI and CFD study
    • Leuprecht A., Kozerke S., Boesiger P., and Perktold K. Blood flow in the human ascending aorta: a combined MRI and CFD study. J. Engrg. Math. 47 3/4 (2003) 387-404
    • (2003) J. Engrg. Math. , vol.47 , Issue.3-4 , pp. 387-404
    • Leuprecht, A.1    Kozerke, S.2    Boesiger, P.3    Perktold, K.4
  • 29
    • 0347516603 scopus 로고    scopus 로고
    • An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems
    • Heil M. An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Comput. Methods Appl. Mech. Engrg. 193 1-2 (2004) 1-23
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.1-2 , pp. 1-23
    • Heil, M.1
  • 30
    • 84902343352 scopus 로고    scopus 로고
    • Computational vascular fluid dynamics: problems, models and methods
    • Quarteroni A., Tuveri M., and Veneziani A. Computational vascular fluid dynamics: problems, models and methods. Comput. Visualizat. Sci. 2 4 (2000) 163-197
    • (2000) Comput. Visualizat. Sci. , vol.2 , Issue.4 , pp. 163-197
    • Quarteroni, A.1    Tuveri, M.2    Veneziani, A.3
  • 32
    • 0037402766 scopus 로고    scopus 로고
    • A computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve
    • De Hart J., Baaijens F.P.T., Peters G.W.M., and Schreurs P.J.G. A computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve. J. Biomech. 36 5 (2003) 699-712
    • (2003) J. Biomech. , vol.36 , Issue.5 , pp. 699-712
    • De Hart, J.1    Baaijens, F.P.T.2    Peters, G.W.M.3    Schreurs, P.J.G.4
  • 33
    • 0029437912 scopus 로고
    • A general method for the computer simulation of biological systems interacting with fluids
    • Peskin C.S., and McQueen D.M. A general method for the computer simulation of biological systems interacting with fluids. Symposia Soc. Exp. Biol. 49 (1995) 265-276
    • (1995) Symposia Soc. Exp. Biol. , vol.49 , pp. 265-276
    • Peskin, C.S.1    McQueen, D.M.2
  • 34
    • 0141457822 scopus 로고    scopus 로고
    • Linear stability analysis in fluid-structure interaction with transpiration. Part II: Numerical analysis and applications
    • Fernandez M.A., and Le Tallec P. Linear stability analysis in fluid-structure interaction with transpiration. Part II: Numerical analysis and applications. Comput. Methods Appl. Mech. Engrg. 192 43 (2003) 4837-4873
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , Issue.43 , pp. 4837-4873
    • Fernandez, M.A.1    Le Tallec, P.2
  • 35
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
    • Deparis S., Fernandez M.A., and Formaggia L. Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Math. Modell. Numer. Anal. 37 4 (2003) 601-616
    • (2003) Math. Modell. Numer. Anal. , vol.37 , Issue.4 , pp. 601-616
    • Deparis, S.1    Fernandez, M.A.2    Formaggia, L.3
  • 36
    • 0001767319 scopus 로고
    • Oscillatory motion of a viscous liquid in a thin walled elastic tube - i: the linear approximation for long waves
    • Womersley J.R. Oscillatory motion of a viscous liquid in a thin walled elastic tube - i: the linear approximation for long waves. Philos. Mag. 7 (1955) 199-221
    • (1955) Philos. Mag. , vol.7 , pp. 199-221
    • Womersley, J.R.1
  • 37
    • 0035104205 scopus 로고    scopus 로고
    • A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis
    • Whiting C.H., and Jansen K.E. A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. Int. J. Numer. Methods Fluids 35 (2001) 93-116
    • (2001) Int. J. Numer. Methods Fluids , vol.35 , pp. 93-116
    • Whiting, C.H.1    Jansen, K.E.2
  • 39
    • 0022810283 scopus 로고
    • New finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • Hughes T.J.R., Franca L.P., and Balestra M. New finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comput. Methods Appl. Mech. Engrg. 59 1 (1986) 85-99
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , Issue.1 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 40
    • 0026928030 scopus 로고
    • Stabilized finite element methods. II. The incompressible Navier-Stokes equations
    • Franca L.P., and Frey S.L. Stabilized finite element methods. II. The incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 99 2/3 (1992) 209-233
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , Issue.2-3 , pp. 209-233
    • Franca, L.P.1    Frey, S.L.2
  • 41
    • 0031460986 scopus 로고    scopus 로고
    • The degree of nonlinearity and anisotropy of blood vessel elasticity
    • Fung Y.-C., and Zhou J. The degree of nonlinearity and anisotropy of blood vessel elasticity. Proc. Natl. Acad. Sci. 94 (1997) 14255-14260
    • (1997) Proc. Natl. Acad. Sci. , vol.94 , pp. 14255-14260
    • Fung, Y.-C.1    Zhou, J.2
  • 42
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • Causin P., Gerbeau J.F., and Nobile F. Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Comput. Methods Appl. Mech. Engrg. 194 42-44 (2005) 4506-4527
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , Issue.42-44 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.F.2    Nobile, F.3
  • 45
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-alpha method
    • Chung J., and Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-alpha method. J. Appl. Mech. 60 (1993) 371-375
    • (1993) J. Appl. Mech. , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 46
    • 0034287408 scopus 로고    scopus 로고
    • Generalized-alpha method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
    • Jansen K.E., Whiting C.H., and Hulbert G.M. Generalized-alpha method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Comput. Methods Appl. Mech. Engrg. 190 3-4 (2000) 305-319
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.3-4 , pp. 305-319
    • Jansen, K.E.1    Whiting, C.H.2    Hulbert, G.M.3
  • 47
    • 33746814580 scopus 로고    scopus 로고
    • C.A. Figueroa, Blood flow and vessel deformation in human arteries: applications in disease research and simulation-based medical planning, Ph.D. Thesis, Stanford University, 2006.
  • 49
    • 33746783493 scopus 로고    scopus 로고
    • J.R. Cebral, R. Lohner, O. Soto, P.J. Yim, On the modelling of carotid blood flow from magnetic resonance images, in: Proceedings of the 2001 Summer Bioengineering Meeting, 2001.
  • 50
    • 0032773052 scopus 로고    scopus 로고
    • Characterization of common carotid artery blood-flow waveforms in normal subjects
    • Holdsworth D.W., Norley C.J.D., Frayne R., Steinman D.A., and Rutt B.K. Characterization of common carotid artery blood-flow waveforms in normal subjects. Physiol. Meas. 20 (1999) 219-240
    • (1999) Physiol. Meas. , vol.20 , pp. 219-240
    • Holdsworth, D.W.1    Norley, C.J.D.2    Frayne, R.3    Steinman, D.A.4    Rutt, B.K.5
  • 51
    • 1642357631 scopus 로고    scopus 로고
    • Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries
    • Vignon I., and Taylor C.A. Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries. Wave Motion 39 4 (2004) 361-374
    • (2004) Wave Motion , vol.39 , Issue.4 , pp. 361-374
    • Vignon, I.1    Taylor, C.A.2
  • 53
    • 33746845388 scopus 로고    scopus 로고
    • B.T. Tang, C.P. Cheng, P.S. Tsao, C.A. Taylor, Subject-specific finite element modeling of three-dimensional pulsatile flow in the human abdominal aorta: comparison of resting and exercise conditions, in: Proceedings of the 2003 Summer Bioengineering Meeting, Key Biscayne, FL, 2003.
  • 56
    • 0014643862 scopus 로고
    • Comparison of abdominal and thoracic aortic medial structure in mammals. Deviation of man from the usual pattern
    • Wolinsky H., and Glagov S. Comparison of abdominal and thoracic aortic medial structure in mammals. Deviation of man from the usual pattern. Circ. Res. 25 6 (1969) 677-686
    • (1969) Circ. Res. , vol.25 , Issue.6 , pp. 677-686
    • Wolinsky, H.1    Glagov, S.2
  • 58
    • 0019089683 scopus 로고
    • A viscoelastic model for use in predicting arterial pulse waves
    • Holenstein R., Niederer P., and Anliker M. A viscoelastic model for use in predicting arterial pulse waves. J. Biomech. Engrg. 102 4 (1980) 318-325
    • (1980) J. Biomech. Engrg. , vol.102 , Issue.4 , pp. 318-325
    • Holenstein, R.1    Niederer, P.2    Anliker, M.3
  • 59
    • 36149066827 scopus 로고
    • Oscillatory flow in arteries: The constrained elastic tube as a model of arterial flow and pulse transmission
    • Womersley J.R. Oscillatory flow in arteries: The constrained elastic tube as a model of arterial flow and pulse transmission. Phys. Med. Biol. 2 (1957) 178-187
    • (1957) Phys. Med. Biol. , vol.2 , pp. 178-187
    • Womersley, J.R.1
  • 60
    • 0033897754 scopus 로고    scopus 로고
    • Rotation-free triangular plate and shell elements
    • Oñate E., and Zarate F. Rotation-free triangular plate and shell elements. Int. J. Numer. Methods Engrg. 47 1 (2000) 557-603
    • (2000) Int. J. Numer. Methods Engrg. , vol.47 , Issue.1 , pp. 557-603
    • Oñate, E.1    Zarate, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.