Nonlinear resonances of an idealized saccular aneurysm

Aranda Iglesias, Francisco Damián; Ramón Lozano, Clara; Rodríguez-Martínez, José A.

Publication:
Nonlinear resonances of an idealized saccular aneurysm

dc.affiliation.dpto	UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Nonlinear Solid Mechanics	es
dc.contributor.author	Aranda Iglesias, Francisco Damián
dc.contributor.author	Ramón Lozano, Clara
dc.contributor.author	Rodríguez-Martínez, José A.
dc.contributor.funder	Ministerio de Economía y Competitividad (España)	es
dc.date.accessioned	2020-01-09T10:06:44Z
dc.date.available	2020-01-09T10:06:44Z
dc.date.issued	2017-12-01
dc.description.abstract	This paper investigates the occurrence of dynamic instabilities in idealized intracranial saccular aneurysms subjected to pulsatile blood flow and surrounded by cerebral spinal fluid. The problem has been approached extending the original 2D model of Shah and Humphrey (1999) to a 3D framework. The justification for using a 3D formulation arises from the works of Suzuki and Ohara (1978), MacDonald et al. (2000) and Costalat et al. (2011) who showed experimental evidences of intracranial aneurysms with a ratio between wall thickness and inner radius larger that 0.1. Two different material models have been used to describe the mechanical behaviour of the aneurysmal wall: Neo-Hookean and Mooney-Rivlin. To the authors' knowledge, for the first time in literature, the dynamic response of the aneurysm has been analysed using complete nonlinear resonance diagrams that have been obtained from a numerical procedure specifically designed for that purpose. Our numerical results show that, for a wide range of wall thicknesses and both constitutive models considered, the saccular aneurysms are dynamically stable within the range of frequencies associated to the normal heart rates, which confirms previous results of Shah and Humphrey (1999). On the other hand, our results also show that the geometric and material nonlinearities of the problem could bring closer than expected the resonance frequencies of the aneurysm to the frequencies of the pulsatile blood flow.	en
dc.description.sponsorship	The authors are indebted to the Spanish Ministry of Economy and Competitiveness (Project EUIN2015-62556) for the financial support received which allowed conducting part of this work.	en
dc.format.extent	12
dc.identifier.bibliographicCitation	International Journal of Engineering Science, vol. 121, pp. 154-166.	en
dc.identifier.doi	https://doi.org/10.1016/j.ijengsci.2017.09.007
dc.identifier.issn	0020-7225
dc.identifier.publicationfirstpage	154
dc.identifier.publicationlastpage	166
dc.identifier.publicationtitle	International Journal of Engineering Science	en
dc.identifier.publicationvolume	121
dc.identifier.uri	https://hdl.handle.net/10016/29418
dc.identifier.uxxi	AR/0000020655
dc.language.iso	eng	en
dc.publisher	Elsevier
dc.relation.projectID	Gobierno de España. EUIN2015-62556	es
dc.rights	© 2017 Elsevier Ltd. All rights reserved.	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject.eciencia	Ingeniería Mecánica	es
dc.subject.eciencia	Medicina	es
dc.subject.other	Intracranial aneurysm	en
dc.subject.other	Finite elasticity	en
dc.subject.other	Constitutive model	en
dc.subject.other	Nonlinear resonances	en
dc.title	Nonlinear resonances of an idealized saccular aneurysm	en
dc.type	research article	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication