Bulging initiation and propagation in fiber-reinforced swellable Mooney–Rivlin membranes

Topol, Heiko; Al-Chlaihawi, Murtadha J.; Demirkoparan, Hasan; Merodio, J.

doi:10.1007/s10665-021-10123-5

Cited by 20 publications

(16 citation statements)

References 44 publications

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“…The well-known exponential form for the mechanical response of the fibers in ( 18) is motivated by crimped fibers that resist loading especially at large fiber extensions [41,42]. The form (18) has been applied in [25] in order to explore bulging initiation and propagation in swellable and fiber-reinforced membranes. Swelling of the matrix may result in a change of both the ground substance itself as well as the constituents that are embedded in this ground substance.…”

Section: Materials Modelsmentioning

confidence: 99%

Section: Materials Modelsmentioning

confidence: 99%

“…These two observations may have implications in the formation of aneurysms in arterial wall tissue. In [25] these considerations were continued and the authors also explored how swelling, the fiber orientation within the membrane wall, and the mechanical properties of the constituents are involved in the initiation of bulging as well as on its axial propagation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms

Al-Chlaihawi

Topol

Demirkoparan

et al. 2021

Mathematics and Mechanics of Solids

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The influence of swelling on prismatic and bending bifurcation modes of inflated thin-walled cylinders under axial loading is examined. The bifurcation criteria for a membrane cylinder subjected to combined axial loading, internal pressure, and swelling is provided. We consider orthotropic materials with two preferred directions which are mechanically equivalent and symmetrically disposed. The mechanical behavior of the matrix is described by a swellable isotropic model. The isotropic material is augmented with two functions that are equal, each one of them accounting for the existence of a unidirectional reinforcement. Two reinforcing models that depend only on the stretch in the fiber direction are considered: the so-called standard reinforcing model and an exponential one. The analysis of bifurcation modes for these models under the conditions at hand may establish the connection with modeling of the normal and diseased aorta in arterial wall tissue. The effects of the axial stretch, the strength of the fiber reinforcement and the fiber winding angle on the onset of prismatic and bending bifurcations are investigated. It is shown that for membranes without fibers, prismatic bifurcation is not feasible. On the other hand, bending bifurcation is more likely to occur for swollen cylinders. However, for a particular model of fiber-reinforced membranes, the standard model, there exists a domain of deformation values together with material constant values that may trigger prismatic bifurcation. The exponential model does not allow prismatic bifurcations. Both models allow bending bifurcation and may or may not trigger it depending on the deformation together with material parameters.

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Section: Materials Modelsmentioning

confidence: 99%

Section: Materials Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms

Al-Chlaihawi

Topol

Demirkoparan

et al. 2021

Mathematics and Mechanics of Solids

Self Cite

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“…Due to the large water content in soft tissue, the material is taken to be incompressible, so that detF = 1. Considerations that may include volume changes in the incompressible material, for example, due to swelling [1,6], are ignored.…”

Section: Cylinder With Different Natural Configurations Of the Consti...mentioning

confidence: 99%

“…Pressurized and axially stretched cylinders may face various instability modes, for example bulging, necking, and bending (see, e.g. [1][2][3][4][5][6]). The initiation of a bulge is a nonlinear phenomenon, which has attracted the attention of various researchers.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation of fiber reinforced inflated membranes with different natural configurations of the constituents

Topol

Demirkoparan

Stoffel

et al. 2023

Proc Appl Math and Mech

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This article studies the inflation and bulging of fiber‐reinforced hyperelastic membranes. A neo‐Hookean model describes the mechanical behavior of the ground substance, and a relatively standard reinforcing model describes the mechanical behavior of fibers. The natural configuration of the constituents may differ, for example, because the fiber may be pre‐stretched in comparison to the natural configuration of the ground substance. Additionally, the fibers may be dispersed. Both the pre‐stretch and dispersion of the fibers have an effect on the formation of a bulge. The results explore how material stiffness ratios and fiber arrangements are involved in initiating bulging instabilities. The herein presented results may provide a contribution to understanding the formation of aneurysms.

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Sensitivity analysis of fibrous thick-walled tubes with mechano-sensitive remodeling fibers in homeostasis

Asghari,

Topol,

Lacalle

et al. 2024

Acta Mech

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In this article, we apply the sensitivity analysis method to capture the influence of various parameters on the inflation pressure, axial force, and the deformation for an inflated and axially stretched cylinder. The material consists of an isotropic ground substance material reinforced with fibers that undergo a continuous and mechano-sensitive remodeling process. The input parameters of the mechanical system are assumed to be distributed according to the uniform probability distribution function. In the sensitivity analysis, we apply the Sobol method to determine how the variations of input parameters affect the inflation as well as the axial force in the cylinder. Special attention is given to the fiber remodeling process associated with a homeostatic balance between the constant fiber creation process and the strain-stabilized fiber dissolution. The results may help to understand the importance of the effect of material parameter changes, for example, due to remodeling processes in the context of diseases or recovering processes, on the overall tissue behavior.

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Bulging initiation and propagation in fiber-reinforced swellable Mooney–Rivlin membranes

Cited by 20 publications

References 44 publications

On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms

On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms

Bifurcation of fiber reinforced inflated membranes with different natural configurations of the constituents

Sensitivity analysis of fibrous thick-walled tubes with mechano-sensitive remodeling fibers in homeostasis

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