Effects of the three-dimensional residual stresses on the mechanical properties of arterial walls

Zheng, Xianbing; Ren, Jiusheng

doi:10.1016/j.jtbi.2015.12.015

Cited by 12 publications

(5 citation statements)

References 32 publications

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“…Recently, Holzapfel et al [57] developed a complete layer-specific mathematical description of the residual stresses in arteries where not only the circumferential residual stresses but also the axial and radial ones were considered. Empirical results show the bending of the media in the axial direction, and constitutive modelling has demonstrated that this residual deformation furtherly homogenises the distribution of stresses in the arterial media [58].…”

Section: Arterial Wall Mechanicsmentioning

confidence: 94%

Review of the Techniques Used for Investigating the Role Elastin and Collagen Play in Arterial Wall Mechanics

Giudici

Wilkinson

Khir

2021

IEEE Rev. Biomed. Eng.

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The arterial wall is characterised by a complex microstructure that impacts the mechanical properties of the vascular tissue. The main components consist of collagen and elastin fibres, proteoglycans, Vascular Smooth Muscle Cells (VSMCs) and ground matrix. While VSMCs play a key role in the active mechanical response of arteries, collagen and elastin determine the passive mechanics. Several experimental methods have been designed to investigate the role of these structural proteins in determining the passive mechanics of the arterial wall. Microscopy imaging of load-free or fixed samples provides useful information on the structure-function coupling of the vascular tissue, and mechanical testing provides information on the mechanical role of collagen and elastin networks. However, when these techniques are used separately, they fail to provide a full picture of the arterial micromechanics. More recently, advances in imaging techniques have allowed combining both methods, thus dynamically imaging the sample while loaded in a pseudo-physiological way, and overcoming the limitation of using either of the two methods separately. The present review aims at describing the techniques currently available to researchers for the investigation of the arterial wall micromechanics. This review also aims to elucidate the current understanding of arterial mechanics and identify some research gaps.

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Section: Arterial Wall Mechanicsmentioning

confidence: 94%

Review of the Techniques Used for Investigating the Role Elastin and Collagen Play in Arterial Wall Mechanics

Giudici

Wilkinson

Khir

2021

IEEE Rev. Biomed. Eng.

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“…The stress state of a loaded artery when subjected to blood pressure is significantly affected by the presence of residual stresses. One way to account for residual stresses in the calculation of in vivo stresses is to modify the solution procedure of the problem by introducing the pressure P into the following boundary condition s (I) rr (a I ) ¼ P [36]. However, the loaded geometry is often not known, so it is usually assumed to be the same as the unloaded one.…”

Section: Inflation-extension Of the Aortamentioning

confidence: 99%

“…In this work, we extend the mathematical model from [34] to the anisotropic case using the recently introduced material model from [35]. Previsouly, Zheng & Ren [36] used a simpler anisotropic constitutive modelling but did not discuss in details or simply missed vital physiological aspects and implications of the anisotropy effect as well as the role of elastin/collagen. Moreover, geometrical, mechanical and microstructural parameters for the model [36] were obtained from different types of blood vessels.…”

Section: Introductionmentioning

confidence: 99%

“…Previsouly, Zheng & Ren [36] used a simpler anisotropic constitutive modelling but did not discuss in details or simply missed vital physiological aspects and implications of the anisotropy effect as well as the role of elastin/collagen. Moreover, geometrical, mechanical and microstructural parameters for the model [36] were obtained from different types of blood vessels. By contrast, our work seeks to explain the nature and function of residual stresses and anisotropy using a three-dimensional multilayered anisotropic model of residual stresses for the abdominal aorta from [34], its typical geometrical data from [32], and its typical mechanical/microstructural data from [17].…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic residual stresses in arteries

Sigaeva

Sommer

Holzapfel

et al. 2019

J. R. Soc. Interface.

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The paper provides a deepened insight into the role of anisotropy in the analysis of residual stresses in arteries. Residual deformations are modelled following Holzapfel and Ogden (Holzapfel and Ogden 2010, J. R. Soc. Interface 7 , 787–799. ( doi:10.1098/rsif.2009.0357 )), which is based on extensive experimental data on human abdominal aortas (Holzapfel et al. 2007, Ann. Biomed. Eng. 35 , 530–545. ( doi:10.1007/s10439-006-9252-z )) and accounts for both circumferential and axial residual deformations of the individual layers of arteries—intima, media and adventitia. Each layer exhibits distinctive nonlinear and anisotropic mechanical behaviour originating from its unique microstructure; therefore, we use the most general form of strain-energy function (Holzapfel et al. 2015, J. R. Soc. Interface 12 , 20150188. ( doi:10.1098/rsif.2015.0188 )) to derive residual stresses for each layer individually. Finally, the systematic experimental data (Niestrawska et al. 2016, J. R. Soc. Interface 13 , 20160620. ( doi:10.1098/rsif.2016.0620 )) on both mechanical and structural properties of the different layers of the human abdominal aorta facilitate our discussion on (i) the importance of anisotropy in modelling residual stresses; (ii) the variability of residual stresses within the same class of tissue, the abdominal aorta; (iii) the limitations of conventional opening angle method to account for complex residual deformations; and (iv) the effect of residual stresses on the loaded configuration of the aorta mimicking in vivo conditions.

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“…Moreover, the presence of residual stresses in arteries results in a more uniform stress distribution throughout the vessel wall [33,34] . Zheng and Ren [35] further explored the effects of three-dimensional residual stresses in each of the three arterial layers. They showed that the residual circumferential stress is compressive within the intima, while tensile in the remaining two layers, and that the bending of the media in the longitudinal direction noticeably affects the mechanical behavior of the arterial wall.…”

Section: Opening Angle Testmentioning

confidence: 99%

Characterizing the mechanical properties of the aortic wall

Pejcic¹,

Hassan²,

Rival³

et al. 2019

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Characterizing the physical properties of the aortic wall is essential to understanding the causes of cardiovascular diseases, such as aneurysms. Modelling compliant, anisotropic, multilayered tubes such as the aorta has proven to be a challenge. In vitro studies of the mechanical properties of arteries incorporate a variety of testing methods; however, the majority of these tests fail to replicate the complex, transmural loading conditions arising from pulsatile flow. These methods include typical tensile tests, both in uniaxial and biaxial setups , bulge inflation tests and extensioninflation tests. Bulge-inflation tests grant material information in response to biaxial loading but still do not mimic proper cylindrical loading conditions. Extension-inflation tests capture the cylindrical loading but have only been performed with static pressurization and with rigid boundary conditions in effect. This review aims to present the current state of the biomechanical characterization of arterial walls, particularly the aorta, through discussion of testing methods and their findings. We emphasize literature that focuses on prediction of aneurysm rupture risk. Moreover, overarching concepts such as histological effects, age dependent effects, segmental effects, hemodynamic effects, viscoelastic modelling and torsion will be briefly explored. An understanding of the current limitations of testing will hopefully lead to the development of more robust in vitro test methods that will further elucidate the relationship between changing vessel wall mechanics and cardiovascular disease.

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Effects of the three-dimensional residual stresses on the mechanical properties of arterial walls

Cited by 12 publications

References 32 publications

Review of the Techniques Used for Investigating the Role Elastin and Collagen Play in Arterial Wall Mechanics

Review of the Techniques Used for Investigating the Role Elastin and Collagen Play in Arterial Wall Mechanics

Anisotropic residual stresses in arteries

Characterizing the mechanical properties of the aortic wall

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