Effect of geometry on the stability of cylindrical clamped shells subjected to internal fluid flow

Karagiozis, Kostas; Paı̈doussis, M.P.; Amabili, Marco

doi:10.1016/j.compstruc.2007.01.026

Cited by 28 publications

(10 citation statements)

References 22 publications

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“…Furthermore, in this study the length of the aortic wall segment used is shorter than the full length found in humans. It has been shown in that shorter cylindrical vessels lose stability at higher flow velocities therefore, it is expected that if a longer aortic wall is used in the simulations, a smaller critical flow velocity could have been attained.…”

Section: Numerical Resultsmentioning

confidence: 99%

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Amabili

Karazis

Mongrain

et al. 2012

Numer Methods Biomed Eng

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Human aortas are subjected to large mechanical stresses because of blood flow pressurization and through contact with the surrounding tissue. It is essential that the aorta does not lose stability by buckling with deformation of the cross-section (shell-like buckling) (i) for its proper functioning to ensure blood flow and (ii) to avoid high stresses in the aortic wall. A numerical bifurcation analysis employs a refined reduced-order model to investigate the stability of a straight aorta segment conveying blood flow. The structural model assumes a nonlinear cylindrical orthotropic laminated composite shell composed of three layers representing the tunica intima, media and adventitia. Residual stresses because of pressurization are evaluated and included in the model. The fluid is formulated using a hybrid model that contains the unsteady effects obtained from linear potential flow theory and the steady viscous effects obtained from the time-averaged Navier-Stokes equations. The aortic segment loses stability by divergence with deformation of the cross-section at a critical flow velocity for a given static pressure, exhibiting a strong subcritical behaviour with partial or total collapse of the inner wall. Preliminary results suggest directions for further study in relation to the appearance and growth of dissection in the aorta.

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Section: Numerical Resultsmentioning

confidence: 99%

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Amabili

Karazis

Mongrain

et al. 2012

Numer Methods Biomed Eng

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“…In Ref. [124], the effect of varying the thickness to radius and length to radius ratios of the shell on non linear stability was discussed and it was found that an increase of the circumferential wave number, for shells with the same thickness to radius ratio, enhances the subcritical behavior of the shell. Karagiozis et al [125] elaborated the experiments performed in Ref.…”

Section: Fluid Structure Interaction For Shells Subjected To Flowing mentioning

confidence: 99%

“…Pellicano [96] extended his previous experimental tests by follow ing a stepped sine approach and obtained the experimental stabi lity diagrams of a shell connected to top mass. Experiments on the stability of shells subjected to fluid flow were carried out by Karagiozis et al [121,122,124,125]. Shells having clamped ends and subjected to external airflow and internal water flow were tested.…”

Section: Experiments On Large-amplitude Vibrations Of Shellsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

211

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International audienceThe present literature review focuses on geometrically non linear free and forced vibrations of shells made of traditional and advanced materials. Flat and imperfect plates and membranes are excluded. Closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials are reviewed and great attention is given to non linear vibrations of shells subjected to normal and in plane excitations. Theoretical, numerical and experimental studies dealing with particular dynamical problems involving parametric vibrations, stability, dynamic buckling, non stationary vibrations and chaotic vibrations are also addressed. Moreover, several original aspects of non linear vibrations of shells and panels, including (i) fluid structure interactions, (ii) geometric imperfections, (iii) effect of geometry and boundary conditions, (iv) thermal loads, (v) electrical loads and (vi) reduced order models and their accuracy including perturbation techniques, proper orthogonal decomposition, non linear normal modes and meshless methods are reviewed in depth

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“…They discovered a softening nonlinear behavior, with a large hysteresis in the velocity for the onset and cessation of divergence. Karagiozis et al (2007) investigated the effect of varying the thickness-to-radius and length-to-radius ratios on the stability margin of cylindrical shells conveying fluid. They showed that the system loses stability by a subcritical pitchfork bifurcation, leading to a stable divergence of increasing amplitude with increasing flow speed.…”

Section: Introductionmentioning

confidence: 99%

A fluid–structure interaction model for stability analysis of shells conveying fluid

Firouz-Abadi

Noorian

Haddadpour

2010

Journal of Fluids and Structures

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Effect of geometry on the stability of cylindrical clamped shells subjected to internal fluid flow

Cited by 28 publications

References 22 publications

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Non-linear vibrations of shells: A literature review from 2003 to 2013

A fluid–structure interaction model for stability analysis of shells conveying fluid

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