On Residual Stresses in Arteries

Chuong, C. J.; Fung, Y. C.

doi:10.1115/1.3138600

Cited by 499 publications

(341 citation statements)

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“…Briefly, the total deformation of an infinitesimal material element is decomposed into a non-stress-generating growth relative to the current zero-stress configuration and a stressgenerating elastic deformation due to loading and to enforcing geometric compatibility 2 Interestingly, Beloussov et al (1975) used this cutting technique several years before it became popular in characterizing residual stress in mature tissues (Chuong and Fung, 1986;Fung, 1997;Vaishnav and Vossoughi, 1983). 3 During intercalation, cells in one row force their way between cells in adjacent rows, causing the epithelium to shorten in the direction of cell movement and lengthen in the orthogonal direction (Keller et al, 2000).…”

Section: One-dimensional Theory For Morphomechanicsmentioning

confidence: 99%

Theoretical study of Beloussov’s hyper-restoration hypothesis for mechanical regulation of morphogenesis

Taber

2007

Biomech Model Mechanobiol

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Computational models were used to explore the idea that morphogenesis is regulated, in part, by feedback from mechanical stress according to Beloussov's Hyper-restoration (HR) Hypothesis. According to this hypothesis, active tissue responses to stress perturbations restore, but overshoot, the original (target) stress. To capture this behavior, the rate of growth or contraction is assumed to depend on the difference between the current and target stresses. Stress overshoot is obtained by letting the target stress change at a rate proportional to the same stress difference. The feasibility of the HR Hypothesis is illustrated by models for stretching of epithelia, cylindrical bending of plates, invagination of cylindrical and spherical shells, and early amphibian development. In each case, an initial perturbation leads to an active mechanical response that changes the form of the tissue. The results show that some morphogenetic processes can be entirely self-driven by HR responses once they are initiated (possibly by genetic activity). Other processes, however, may require secondary mechanisms or perturbations to proceed to completion.

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Section: One-dimensional Theory For Morphomechanicsmentioning

confidence: 99%

Theoretical study of Beloussov’s hyper-restoration hypothesis for mechanical regulation of morphogenesis

Taber

2007

Biomech Model Mechanobiol

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“…Residual stress may also play a role in cardiac morphogenesis by affecting ventricular wall stress during cardiac development (Taber et al 1993). Similarly, residual stresses in arteries are known to play a fundamental role in regulating the peak stress and homogenizing the stress field across the arterial wall (Chuong & Fung 1986). While the role of transverse differential growth in cylindrical structures is well appreciated, the overall effect of axial residual stress on the mechanics of a structure is not completely understood.…”

Section: Introductionmentioning

confidence: 99%

Differential growth and residual stress in cylindrical elastic structures

Vandiver

Goriely

2009

Phil. Trans. R. Soc. A.

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Cylindrical forms are among one of Nature's fundamental building blocks. They serve many different purposes, from sustaining body weight to carrying flows. Their mechanical properties are generated through the often complex arrangements of the walls. In particular, in many structures that have elastic responses, such as stems and arteries, the walls are in a state of tension generated by differential growth. Here, the effect of differential growth and residual stress on the overall mechanical response of the cylindrical structure is studied within the framework of morpho-elasticity.

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“…A typical value of the angle between the two families of fibers was extracted from the literature. 44 In this study, we employ higher-order terms in the isotropic Mooney-Rivlin (M-R) strain energy function 9 to account for the departure from neo-Hookean/ Gaussian behavior at large stretches, combined with the Holzapfel orthotropic 25,47 material formulations. The Holzapfel orthotropic formulation models the vessel wall as fiber-reinforced composite material, corresponding to the collagenous component of the material.…”

Section: Materials Properties Of the Aortic Wallmentioning

confidence: 99%

Patient-Based Abdominal Aortic Aneurysm Rupture Risk Prediction with Fluid Structure Interaction Modeling

et al. 2010

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Abstract-Elective repair of abdominal aortic aneurysm (AAA) is warranted when the risk of rupture exceeds that of surgery, and is mostly based on the AAA size as a crude rupture predictor. A methodology based on biomechanical considerations for a reliable patient-specific prediction of AAA risk of rupture is presented. Fluid-structure interaction (FSI) simulations conducted in models reconstructed from CT scans of patients who had contained ruptured AAA (rAAA) predicted the rupture location based on mapping of the stresses developing within the aneurysmal wall, additionally showing that a smaller rAAA presented a higher rupture risk. By providing refined means to estimate the risk of rupture, the methodology may have a major impact on diagnostics and treatment of AAA patients.

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On Residual Stresses in Arteries

Cited by 499 publications

References 1 publication

Theoretical study of Beloussov’s hyper-restoration hypothesis for mechanical regulation of morphogenesis

Theoretical study of Beloussov’s hyper-restoration hypothesis for mechanical regulation of morphogenesis

Differential growth and residual stress in cylindrical elastic structures

Patient-Based Abdominal Aortic Aneurysm Rupture Risk Prediction with Fluid Structure Interaction Modeling

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