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TECHNICAL PAPERS

Mechanical Response of a Metallic Aortic Stent—Part I: Pressure-Diameter Relationship

[+] Author and Article Information
R. Wang, K. Ravi-Chandar

Center for Mechanics of Solids, Structures and Materials, The University of Texas at Austin, Austin, TX 78712-1085

J. Appl. Mech 71(5), 697-705 (Nov 09, 2004) (9 pages) doi:10.1115/1.1782650 History: Received September 13, 2003; Revised March 24, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

Figures

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A photograph and schematic diagram of the bare-metal Wallstent indicating the positions at which the diameter and the length of the stent was measured during the experiments under internal pressure. The stent is shown in the unloaded condition (zero pressure).
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(a) Schematic representation of a stent under internal pressure produced by a compressed air-filled polyethylene bag. (b) Same as (a), with the ends restrained from axial movement but not radial movement.
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Schematic representation of a stent under external pressure produced by a compressed air-filled polyethylene bag
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Variation of the true radial strain, eR with internal pressure, p. A polynomial curve fit to the experimental data is also shown simply to indicate the data trend. Data scatter is indicative of the errors encountered and is primarily due to the measurement and control of the pressure.
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Variation of the true axial strain with the true radial strain. The data points represent direct measurements of both the diameter and length. The line corresponds to a model of the axial strain from Eq. (4) with measured values of the diameter.
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Variation of the diameter of the stent with pressure. Internal pressure is indicated as positive and external pressure as negative. The lines (-- without friction, –with friction) are calculated using a helical spring model for the deformation of the stent.
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Variation of the length of the stent with pressure. Internal pressure is indicated as positive and external pressure as negative. The lines (-- without friction, –with friction) are calculated using a helical spring model for the deformation of the stent.
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Free-body diagram on one-half turn of one wire in the stent. Components of forces and moments in the direction of the tangent to the curve and normal to it are shown in the figure. q is the load per unit length along the wire that results from the pressure p in the stent. r is the radius of the helix, and α is the pitch angle.
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Correlation of the length and diameter of the stent. This is a plot of Eq. (1); the unloaded state is indicated by the dot.
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Comparison of the calculated and measured axial force Fz as a function of the internal pressure, p, when the stent is free to expand radially, but is constrained to maintain its axial length

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