Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/14808
Title: Wave reflection and transmission in multiply stented blood vessels
Authors: Papathanasiou, T
Movchan, AB
Bigoni, D
Keywords: Elastic waves;Fluid–solid interaction;Wave reflection;Periodic structures;Asymptotic analysis
Issue Date: 2017
Publisher: The Royal Society
Citation: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2202): pp. 1-22, (2017)
Abstract: Closed circulatory systems display an exquisite balance between vascular elasticity and viscous fluid effects, to induce pulse-smoothing and avoid resonance during the cardiac cycle. Stents in the arterial tree alter this balance through stiffening and because a periodic structure is introduced, capable of interacting with the fluid in a complex way. While the former feature has been investigated, the latter received no attention so far. But periodic structures are the building blocks of metamaterials, known for their ‘non-natural’ behaviour. Thus, the investigation of a stent's periodic microstructure dynamical interactions is crucial to assess possible pathological responses. A one-dimensional fluid–structure interaction model, simple enough to allow an analytical solution for situations of interest involving one or two interacting stents, is introduced. It is determined: (i) whether or not frequency bands exist in which reflected blood pulses are highly increased and (ii) if these bands are close to the characteristic frequencies of arteries and finally, (iii) if the internal structure of the stent can sensibly affect arterial blood dynamics. It is shown that, while the periodic structure of an isolated stent can induce anomalous reflection only in pathological conditions, the presence of two interacting stents is more critical, and high reflection can occur at frequencies not far from the physiological values.
URI: http://bura.brunel.ac.uk/handle/2438/14808
DOI: http://dx.doi.org/10.1098/rspa.2017.0015
ISSN: 1471-2946
Appears in Collections:Dept of Mechanical and Aerospace Engineering Research Papers

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