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TECHNICAL PAPERS: Fluids/Heat/Transport

Effect of Surrounding Tissue on Vessel Fluid and Solid Mechanics

[+] Author and Article Information
Wei Zhang, Carly Herrera, Satya N. Atluri, Ghassan S. Kassab

Department of Mechanical and Aerospace Engineering andDepartment of Biomedical Engineering, University of California, 204 Rockwell Engineering Center, Irvine, CA, 92657, USA

J Biomech Eng 126(6), 760-769 (Feb 04, 2005) (10 pages) doi:10.1115/1.1824128 History: Received January 07, 2004; Revised June 15, 2004; Online February 04, 2005
Copyright © 2004 by ASME
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Figures

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(a) Schematic of the axisymmetric model (not to scale). (b) Finite element mesh near the inlet.
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(a) The pulsatile inlet and outlet pressures. (b) The difference between inlet and outlet pressures. (c) External compression of outer surface (10% change of outer radius) due to muscle contraction. (d) Inlet velocity boundary condition.
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(a) Typical velocity profile half way along the length of the vessel (z=L/2) for Case III (periodic displacement boundary) with pressure boundary condition. (b) Axial flow velocity versus time at the midpoint of the centerline (r=0,z=L/2). (c) Typical velocity profiles (at z=4L/5) for Case III with velocity boundary condition. (d) Axial flow velocity versus time (at r=0,z=4L/5) when velocity boundary is applied.
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(a) The temporal variation of wall shear stress at r=ri and z=L/2 (midpoint of the inner surface). (b) The temporal variation of wall shear stress (at z=4L/5) when velocity boundary is used.
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Stress distribution in vessel wall for Case III (periodic displacement boundary): (a) radial stress; (b) axial stress; and (c) circumferential stress
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Average stresses as a function of time in the vessel wall: (a) radial stress; (b) axial stress; and (c) circumferential stress.
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Average logarithmic strains versus time in the vessel wall: (a) radial logarithmic strain; (b) axial logarithmic strain; and (c) circumferential logarithmic strain.
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Radial flow velocity profiles (at z=L/2) for Case III (periodic-displacement on the outer surface).
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The temporal variation of circumferential stress gradients (at z=L/2) during the loading pressure boundary conditions. The various curves correspond to different amplitudes of displacement with 0% as no displacement corresponding to Case III followed by 5%, 10%, 15% and 20% maximum change of outer radius.
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A flow chart of the sequential coupling of fluid-solid interaction adapted from ANSYS Inc, 2003

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