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TECHNICAL PAPERS

Mechanical Response of a Metallic Aortic Stent—Part II: A Beam-on-Elastic Foundation Model

[+] 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), 706-712 (Nov 09, 2004) (7 pages) doi:10.1115/1.1782912 History: Received September 13, 2003; Revised March 24, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

Wang,  R., and Ravi-Chandar,  K., 2004, “Mechanical Response of a Metallic Aortic Stent: I. Pressure-Diameter Relationship,” ASME J. Appl. Mech., 71, pp. 697–705.
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Dumoulin,  C., and Cochelin,  B., 2000, “Mechanical Behavior Modeling of Balloon-Expandable Stents,” J. Biomech., 33, pp. 1461–1470.
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Timoshenko, S. P., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw-Hill, New York, pp. 475–478.
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Länne,  T., Stale,  H., Bengtsson,  H., Gustafsson,  D., Berqvist,  D., Sonesson,  B., Lecerof,  H., and Dahl,  P., 1992, “Noninvasive Measurement of Diameter Changes in the Distal Abdominal Aorta in Man,” Ultrasound Med. Biol., 18, pp. 451–457.
Dutta,  A., Wang,  D. M., and Tarbell,  J. M., 1992, “Numerical Analysis of Flow in an Elastic Artery Model,” ASME J. Biomech. Eng., 114, pp. 26–33.
Quarteroni,  A., Tuveri,  M., and Veneziani,  A., 2000, “Computational Vascular Fluid Dynamics: Problems, Models and Methods,” Comput. Visual. Sci., 2, pp. 163–197.
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Raghavan,  M. L., and Vorp,  D. A., 2000, “Toward a Biomechanical Tool to Evaluate Rupture Potential of Abdominal Aortic Aneurysm: Identification of a Finite Strain Constitutive Model and Evaluation of Its Applicability,” J. Biomech., 33, pp. 475–482.
Rogers,  C., Tseng,  D. Y., Squire,  J. C., Edelman,  E. R., 1999, “Balloon-Artery Interactions During Stent Placement: A Finite Element Analysis Approach to Pressure, Compliance, and Stent Design as Contributors to Vascular Injury,” Circ. Res., 84, pp. 378–383.

Figures

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Schematic diagram of a stent inside a blood vessel with an aneurysm
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Stent as an equivalent thin-walled pressure vessel and a beam on elastic foundation
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Effective cross section of the stent that determines the bending rigidity
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Experimental scheme for the measurement of the bending of the stent under a fixed-fixed end condition
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Variation of the radius of the stent with position along the stent. The experimental measurements were obtained at a pressure of 153 mm of Hg; comparison to beam on elastic foundation model is also shown as “numerical solution.”
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Photograph showing the variation of the radius of the stent as it exits the catheter
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Comparison of the measured variation of the radius of the stent with position along the stent as it exits the catheter with the predictions of the beam on elastic foundation model

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