Bifurcation and Post-Bifurcation of an Inflated and Extended Residually-Stressed Circular Cylindrical Tube with Application to Aneurysms Initiation and Propagation in Arterial Wall Tissue

Dehghani, Hamidreza and Desena Galarza, Dariel and Jha, N. K. and Reinoso, J. and Merodio Gómez, José (2019). Bifurcation and Post-Bifurcation of an Inflated and Extended Residually-Stressed Circular Cylindrical Tube with Application to Aneurysms Initiation and Propagation in Arterial Wall Tissue. "Finite Elements in Analysis and Design", v. 161 ; pp. 51-60. ISSN 0168-874X. https://doi.org/10.1016/j.finel.2019.04.004.

Description

Title: Bifurcation and Post-Bifurcation of an Inflated and Extended Residually-Stressed Circular Cylindrical Tube with Application to Aneurysms Initiation and Propagation in Arterial Wall Tissue
Author/s:
  • Dehghani, Hamidreza
  • Desena Galarza, Dariel
  • Jha, N. K.
  • Reinoso, J.
  • Merodio Gómez, José
Item Type: Article
Título de Revista/Publicación: Finite Elements in Analysis and Design
Date: 1 September 2019
ISSN: 0168-874X
Volume: 161
Subjects:
Freetext Keywords: Residual Stress, Bending Bifurcation, Bulging Bifurcation, Nonlinear Elasticity, Artery, Aneurysms
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img] PDF - Users in campus UPM only until 1 September 2021 - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB)

Abstract

A numerical procedure to analyze bifurcation and post-bifurcation of a finite deformation boundary-value problem for a residually-stressed elastic body is studied. In particular, the problem is the combined extension and inflation of a circular cylindrical tube subject to radial and circumferential residual stresses. The material model, given by a residual-stress dependent nonlinear elastic constitutive law in terms of invariants, is implemented in a finite element code. A numerical procedure to analyze the bifurcation and post-bifurcation of the finite deformation boundary-value problem at hand is developed based on the modified Riks method. The dependence of bifurcation and post-bifurcation behavior of tubes under the loading at hand on residual stresses is shown and compared with results when there is no residual stress. The finite deformation boundary-value problem is described mainly in terms of the inflation pressure, as well as the axial and azimuthal stretches of the tube. The dependence of these quantities on bifurcation is illustrated graphically for different values of the parameters (in dimensionless form) involved, in particular, the strength of the residual stress. It is found that bulging bifurcation is expected for sufficiently large values of the axial stretch. On the other hand, for small values of the axial stretch (close to the non-extended configuration), the onset of bifurcation is found to be the bending mode. Furthermore, for the latter case in subsequent motion, i.e. post-bifurcation, it is shown that bending triggers bulging as opposed to the situation in which bending is not allowed and the onset of bifurcation is associated with bulging. In addition, the bulge, or the abnormal enlargement, that is formed during post-bifurcation after the onset of bending bifurcation appears on one side of the tube showing an irregular shape which is consistent with the development of abdominal aortic aneurysms (AAA).

More information

Item ID: 55049
DC Identifier: http://oa.upm.es/55049/
OAI Identifier: oai:oa.upm.es:55049
DOI: 10.1016/j.finel.2019.04.004
Official URL: https://www.sciencedirect.com/science/article/pii/S0168874X18307753
Deposited by: Memoria Investigacion
Deposited on: 20 May 2019 13:34
Last Modified: 20 May 2019 13:34
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM