Mr. Wesley D. Ballew Profile

Wesley D. Ballew

Doctoral Student

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Proceedings Article | 1 April 2009 Paper

A comparison of FE beam and continuum elements for typical nitinol stent geometries

Wesley Ballew, Stefan Seelecke

Proceedings Volume 7289, 72890R (2009) https://doi.org/10.1117/12.816654

KEYWORDS: Chemical elements, Shape memory alloys, Optical simulations, Reverse modeling, 3D modeling, Finite element methods, Beam propagation method, Laser induced plasma spectroscopy, Computer simulations, Aerospace engineering

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With interest in improved efficiency and a more complete description of the SMA material, this paper compares finite element (FE) simulations of typical stent geometries using two different constitutive models and two different element types. Typically, continuum elements are used for the simulation of stents, for example the commercial FE software ANSYS offers a continuum element based on Auricchio's SMA model. Almost every stent geometry, however, is made up of long and slender components and can be modeled more efficiently, in the computational sense, with beam elements. Using the ANSYS user programmable material feature, we implement the free energy based SMA model developed by Mueller and Seelecke into the ANSYS beam element 188. Convergence behavior for both, beam and continuum formulations, is studied in terms of element and layer number, respectively. This is systematically illustrated first for the case of a straight cantilever beam under end loading, and subsequently for a section of a z-bend wire, a typical stent sub-geometry. It is shown that the computation times for the beam element are reduced to only one third of those of the continuum element, while both formulations display a comparable force/displacement response.

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