Hyperelasticity of Soft Tissues and Related Inverse Problems

Avril, Stéphane

doi:10.1007/978-3-319-45071-1_2

Cited by 12 publications

(8 citation statements)

References 31 publications

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“…Parameters of our 4‐fiber family model were calibrated by adjusting the pressure‐deflection curves against the experimental results. Abundant literature can be found about the resolution of similar identification problems where authors have investigated the unicity of the solution . The question of unicity arises especially for bilayer models, as discussed by Badel et al The identification of the fiber angle parameter in 2‐fiber family models particularly needs to satisfy constraints for ensuring a unique solution to the problem .…”

Section: Discussionmentioning

confidence: 99%

“…Abundant literature can be found about the resolution of similar identification problems where authors have investigated the unicity of the solution. [65][66][67] The question of unicity arises especially for bilayer models, as discussed by Badel et al 68 The identification of the fiber angle parameter in 2-fiber family models 69 particularly needs to satisfy constraints for ensuring a unique solution to the problem. 70 For instance, bounds can be defined to ensure that fibers remain closer to the axial direction in the adventitia and closer to the circumferential direction in the media.…”

Section: Discussionmentioning

confidence: 99%

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Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Mousavi

Farzaneh

2017

Numer Methods Biomed Eng

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Dissections of ascending thoracic aortic aneurysms (ATAAs) cause significant morbidity and mortality worldwide. They occur when a tear in the intima-media of the aorta permits the penetration of the blood and the subsequent delamination and separation of the wall in 2 layers, forming a false channel. To predict computationally the risk of tear formation, stress analyses should be performed layer-specifically and they should consider internal or residual stresses that exist in the tissue. In the present paper, we propose a novel layer-specific damage model based on the constrained mixture theory, which intrinsically takes into account these internal stresses and can predict appropriately the tear formation. The model is implemented in finite-element commercial software Abaqus coupled with user material subroutine. Its capability is tested by applying it to the simulation of different exemplary situations, going from in vitro bulge inflation experiments on aortic samples to in vivo overpressurizing of patient-specific ATAAs. The simulations reveal that damage correctly starts from the intimal layer (luminal side) and propagates across the media as a tear but never hits the adventitia. This scenario is typically the first stage of development of an acute dissection, which is predicted for pressures of about 2.5 times the diastolic pressure by the model after calibrating the parameters against experimental data performed on collected ATAA samples. Further validations on a larger cohort of patients should hopefully confirm the potential of the model in predicting patient-specific damage evolution and possible risk of dissection during aneurysm growth for clinical applications.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Mousavi

Farzaneh

2017

Numer Methods Biomed Eng

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“…The results obtained in human thoracic aortas are promising [71,78]. More details about this method can be found in [146] and [172].…”

Section: Identification Of Constitutive Propertiesmentioning

confidence: 83%

Aortic and Arterial Mechanics

Avril¹

2018

Cardiovascular Mechanics

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Knowledge of the mechanical properties of the aorta is essential as important concerns regarding the treatment of aortic pathologies, such as atherosclerosis, aneurysms and dissections, are fundamentally mechanobiological. A comprehensive review is presented in the current chapter. As the function of arteries is to carry blood to the peripheral organs, the main biomechanical properties of interest are elasticity and rupture properties. Regarding elastic properties, an essential parameter remains the physiological linearized elastic modulus in the circumferential direction, although sophisticated constitutive equations including hyperelasticity are available to model the complex coupled roles played by collagen, elastin and smooth muscle cells in the mechanics of the aorta. Regarding rupture properties, tensile strengths in the axial and circumferential directions are on the order of 1.5 MPa in the thoracic aorta and the radial strength, which is important regarding dissections, is about 0.1 MPa. All these properties may vary spatially and change with the adaptation of the aortic wall to different conditions through growth and remodelling. The progression of diseases, such as aneurysms and atherosclerosis, also manifests with alterations of these material properties.After presenting how the mechanical properties of elastic arteries, including the aorta, can be measured and how they can be used in models to predict the biomechanical response of same under different circumstances, a section will focus on the biomechanics of the ascending thoracic aorta and the chapter will end with current challenges regarding predictive numerical simulations for personalized medicine.

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“…Such algorithms, in turn, are based on the complex analysis of primary responses of multi-phase materials to the collective action of physical impacts, accounting for a wide range of operational and constructional features [ 5 , 6 ] (e.g., anisotropy of materials, fiber packing, and stratification). Moreover, the efficiency in developing optimization algorithms and procedures for the inverse identification of effective material parameters for advanced composite materials are directly related to the solutions of problems in solid mechanics [ 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Elastic and Thermoelastic Responses of Orthotropic Half-Planes

et al. 2021

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A unified approach is presented for constructing explicit solutions to the plane elasticity and thermoelasticity problems for orthotropic half-planes. The solutions are constructed in forms which decrease the distance from the loaded segments of the boundary for any feasible relationship between the elastic moduli of orthotropic materials. For the construction, the direct integration method was employed to reduce the formulated problems to a governing equation for a key function. In turn, the governing equation was reduced to an integral equation of the second kind, whose explicit analytical solution was constructed by using the resolvent-kernel algorithm.

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Hyperelasticity of Soft Tissues and Related Inverse Problems

Cited by 12 publications

References 31 publications

Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Aortic and Arterial Mechanics

Elastic and Thermoelastic Responses of Orthotropic Half-Planes

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