Competition between radial expansion and axial propagation in bulging of inflated cylinders with application to aneurysms propagation in arterial wall tissue

Alhayani, A.A.; Rodríguez, J. C.; Merodio, J.

doi:10.1016/j.ijengsci.2014.08.008

Cited by 60 publications

(63 citation statements)

References 26 publications

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“…Some authors [23][24][25] , have modeled wall's channels by means of hyperelastic models and have performed numerical studies to investigate the formation and growth of aneurysms in cylindrical channels and the elasticity of arterial tissue affected by Marfan's syndrome was analyzed by Merodio and Haughton [26,27] . However, most of the research works found in the literature have used only one constitutive hyperelastic model.…”

Section: Introductionmentioning

confidence: 99%

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Cardoso¹,

Fernandes²,

Lima³

et al. 2018

Mechanics Research Communications

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a b s t r a c tBrain aneurysms are pathological dilatations of cerebral arteries and are known as one of the most common and serious cerebrovascular events. However, patients with cerebral aneurysms do not exhibit evident symptoms until they rupture. The main objective of the present study is to perform numerical characterizations of the biomechanical behavior of aneurysms in order to analyze the blood vessel wall behavior during the formation of an aneurysm. By taking into account different geometric and physiological parameters, flow simulations of a well-known Newtonian fluid (glycerin) was performed using the commercial finite volume method package Ansys® -Fluent, and pressure along the channel was determined. These pressures were imported into the channel, in the Ansys®-Static Structural, in order to evaluate and analyze the displacement and strain fields in the channel wall, caused by the internal pressure induced by the fluid flow. All calculations were performed by using the most widely accepted hyperelastic constitutive models and it was found that any constitutive model can be applied to this kind of studies, allowing to visualize where pressure achieves its maximum value and consequently, the most favorable region where the rupture is more likely to occur.

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Section: Introductionmentioning

confidence: 99%

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Cardoso¹,

Fernandes²,

Lima³

et al. 2018

Mechanics Research Communications

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show abstract

“…It is therefore a fundamental protypical problem whose understanding can help shed light on other more complicated localization problems. The problem itself is relevant to a variety of applications, as witnessed by a series of recent studies on the continuum-mechanical modelling of aneurysm initiation in human arteries Alhayani et al, 2013Alhayani et al, , 2014Rodrguez-Martnez et al, 2015), and on localized bulging under the additional effects of swelling (Demirkoparan & Merodio, 2015), viscoelasticity/chemorheology (Wineman, 2015a,b), and electric actuation (Lu et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Localized bulging in an inflated cylindrical tube of arbitrary thickness – the effect of bending stiffness

Liu

Francisco

2016

Journal of the Mechanics and Physics of Solids

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We study localized bulging of a cylindrical hyperelastic tube of arbitrary thickness when it is subjected to the combined action of inflation and axial extension. It is shown that with the internal pressure P and resultant axial force F viewed as functions of the azimuthal stretch on the inner surface and the axial stretch, the bifurcation condition for the initiation of a localized bulge is that the Jacobian of the vector function (P, F ) should vanish. This is established using the dynamical systems theory by first computing the eigenvalues of a certain eigenvalue problem governing incremental deformations, and then deriving the bifurcation condition explicitly. The bifurcation condition is valid for all loading conditions, and in the special case of fixed resultant axial force it gives the expected result that the initiation pressure for localized bulging is precisely the maximum pressure in uniform inflation. It is shown that even if localized bulging cannot take place when the axial force is fixed, it is still possible if the axial stretch is fixed instead. The explicit bifurcation condition also provides a means to quantify precisely the effect of bending stiffness on the initiation pressure. It is shown that the (approximate) membrane theory gives good predictions for the initiation pressure, with a relative error less than 5%, for thickness/radius ratios up to 0.67. A two-term asymptotic bifurcation condition for localized bulging that incorporates the effect of bending stiffness is proposed, and is shown to be capable of giving extremely accurate predictions for the initiation pressure for thickness/radius ratios up to as large as 1.2.

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“…but bodies are left in rod state. The local bulging instability has been documented in the research of tissue engineering, that is, aneurysm angiogenesis [14][15][16], with extensive solution of the inhomogeneous deformation. Here, we explain the mechanism for the first time from the perspective of botany in biology and characterize it using chemical thermodynamics.…”

Section: Resultsmentioning

confidence: 99%

Phase Characterization of Cucumber Growth: A Chemical Gel Model

Liu

Zhang

2016

International Journal of Polymer Science

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Cucumber grows with complex phenomena by changing its volume and shape, which is not fully investigated and challenges agriculture and food safety industry. In order to understand the mechanism and to characterize the growth process, the cucumber is modeled as a hydrogel in swelling and its development is studied in both preharvest and postharvest stages. Based on thermodynamics, constitutive equations, incorporating biological quantities, are established. The growth behavior of cucumber follows the classic theory of continuous or discontinuous phase transition. The mechanism of bulged tail in cucumber is interpreted by phase coexistence and characterized by critical conditions. Conclusions are given for advances in food engineering and novel fabrication techniques in mechanical biology.

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Competition between radial expansion and axial propagation in bulging of inflated cylinders with application to aneurysms propagation in arterial wall tissue

Cited by 60 publications

References 26 publications

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Localized bulging in an inflated cylindrical tube of arbitrary thickness – the effect of bending stiffness

Phase Characterization of Cucumber Growth: A Chemical Gel Model

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