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Structural analysis of cyclically periodic rings and its application to the mechanics of balloon expandable stents

Structural analysis of cyclically periodic rings and its application to the mechanics of balloon expandable stents
Structural analysis of cyclically periodic rings and its application to the mechanics of balloon expandable stents

The performance of balloon expandable stents during deployment is usually assessed computationally. Most stents have a generic feature that entails wavy rings known as “crowns” which are interconnected via structures known as “bridges”. A mathematically exact analyses of such wavy rings would provide a benchmark to such computations and offer a clear insight into the deformation of stents. In the present work, an analytical model is developed to estimate the elasto-plastic response of a cylindrical periodic structure made of sinusoidal crowns interconnected by bridges. Two different interconnections are considered that give rise to two distinctive behaviours one of which is auxetic. Elastic-perfectly plastic material is considered. The apparent elasto-plastic response of the cylindrical structure is obtained in a closed-form by exploiting the periodicity along its longitudinal and the circumferential direction. A scaling ansatz is proposed that collapses nonlinear response data for different geometries into a family of master-curves. Such relationship suggests that the most efficient way to increase the apparent stiffness of the structure is to decrease the amplitude of the wavy crowns.

Closed-form solution, Cylindrical periodic structure, Elasto-plastic analysis, Stent design
0020-7683
46-56
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e

Bonfanti, Alessandra, Syngellakis, Stavros and Bhaskar, Atul (2020) Structural analysis of cyclically periodic rings and its application to the mechanics of balloon expandable stents. International Journal of Solids and Structures, 185-186, 46-56. (doi:10.1016/j.ijsolstr.2019.04.005).

Record type: Article

Abstract

The performance of balloon expandable stents during deployment is usually assessed computationally. Most stents have a generic feature that entails wavy rings known as “crowns” which are interconnected via structures known as “bridges”. A mathematically exact analyses of such wavy rings would provide a benchmark to such computations and offer a clear insight into the deformation of stents. In the present work, an analytical model is developed to estimate the elasto-plastic response of a cylindrical periodic structure made of sinusoidal crowns interconnected by bridges. Two different interconnections are considered that give rise to two distinctive behaviours one of which is auxetic. Elastic-perfectly plastic material is considered. The apparent elasto-plastic response of the cylindrical structure is obtained in a closed-form by exploiting the periodicity along its longitudinal and the circumferential direction. A scaling ansatz is proposed that collapses nonlinear response data for different geometries into a family of master-curves. Such relationship suggests that the most efficient way to increase the apparent stiffness of the structure is to decrease the amplitude of the wavy crowns.

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More information

Accepted/In Press date: 1 April 2019
e-pub ahead of print date: 24 April 2019
Published date: 1 March 2020
Keywords: Closed-form solution, Cylindrical periodic structure, Elasto-plastic analysis, Stent design

Identifiers

Local EPrints ID: 437180
URI: http://eprints.soton.ac.uk/id/eprint/437180
ISSN: 0020-7683
PURE UUID: 5fcbb011-ed3a-4211-ba3a-07be9ff8d14a

Catalogue record

Date deposited: 21 Jan 2020 17:32
Last modified: 26 Nov 2021 00:17

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Contributors

Author: Alessandra Bonfanti
Author: Stavros Syngellakis
Author: Atul Bhaskar

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