Corrigendum to: A constitutive description of the anisotropic response of the fascia lata

Pancheri, Francesco Q.; Eng, Carolyn M.; Lieberman, Daniel E.; Biewener, Andrew A.; Dorfmann, Luis

doi:10.1016/j.jmbbm.2015.05.022

Cited by 2 publications

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“…It can then be written in the form

0true {\bar{W}}_{iso} = \frac{μ}{2 α} ({} exp [α (() {\overset{I}{true}}_{1} - 3)] - 1) + \frac{μ_{normalf}}{2 k} \sum_{i = 4, 6} ({} exp [k {({\bar{I}}_{i} - 1)}^{2}] - 1),

where

{\overset{I}{true}}_{1} = tr \bar{boldC}, {\overset{I}{true}}_{4} = M \cdot false(\overset{C}{true} boldM false), {\overset{I}{true}}_{6} = {boldM}^{'} \cdot false(\overset{C}{true} M^{'} false),

and μ denotes the shear modulus of the matrix in its reference configuration, μ f is related to the degree of anisotropy due to the fibers (μ and μ f have dimensions of stress) and α and k are dimensionless parameters. This constitutive formulation has been used to model the anisotropic response of fascia lata, where the two preferred directions are neither mechanically equivalent nor orthogonal …”

Section: Numerical Simulationmentioning

confidence: 99%

Pulsatile flow measurements and wall stress distribution in a patient specific abdominal aortic aneurysm phantom

et al. 2018

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In this study, we develop a physiologic internal pressure and wall stress analysis procedure and apply it to a patient-specific abdominal aortic aneurysm model. Timedependent pressure loading of the inner vessel wall was experimentally measured in a 3D printed aneurysm phantom. The results were used as boundary conditions for finite element calculations of von Mises stresses throughout the AAA model over the cardiac cycle. A nonlinear hyperelastic constitutive law with parameters based on biaxial stress-deformation data from aneurysmal tissue samples was used to describe the mechanical behavior of the aneurysm wall. The internal pressure was found to be fairly spatially uniform (within 10%) over most of the cardiac cycle, but average internal pressure varied by more than a factor of two between systole and diastole. The aneurysm wall stress was highly spatially nonuniform. The highest value of von Mises stress was localized in a small area within the aneurysm bulge and remained in the same place throughout the cardiac cycle, suggesting that this area was the most likely point of rupture. Large variations in wall stress over the cardiac cycle suggest calculations that assume steady flow are a poor approximation for physiological stresses. K E Y W O R D SAAA, abdominal aortic aneurysm, finite element analysis, flow field measurements 2258

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“…It can then be written in the form

0true {\bar{W}}_{iso} = \frac{μ}{2 α} ({} exp [α (() {\overset{I}{true}}_{1} - 3)] - 1) + \frac{μ_{normalf}}{2 k} \sum_{i = 4, 6} ({} exp [k {({\bar{I}}_{i} - 1)}^{2}] - 1),

where

{\overset{I}{true}}_{1} = tr \bar{boldC}, {\overset{I}{true}}_{4} = M \cdot false(\overset{C}{true} boldM false), {\overset{I}{true}}_{6} = {boldM}^{'} \cdot false(\overset{C}{true} M^{'} false),

Section: Numerical Simulationmentioning

confidence: 99%

Pulsatile flow measurements and wall stress distribution in a patient specific abdominal aortic aneurysm phantom

et al. 2018

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Histology and Biaxial Mechanical Behavior of Abdominal Aortic Aneurysm Tissue Samples

Pancheri

Peattie

Reddy

et al. 2017

Journal of Biomechanical Engineering

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Abdominal aortic aneurysms (AAAs) represent permanent, localized dilations of the abdominal aorta that can be life-threatening if progressing to rupture. Evaluation of risk of rupture depends on understanding the mechanical behavior of patient AAA walls. In this project, a series of patient AAA wall tissue samples have been evaluated through a combined anamnestic, mechanical, and histopathologic approach. Mechanical properties of the samples have been characterized using a novel, strain-controlled, planar biaxial testing protocol emulating the in vivo deformation of the aorta. Histologically, the tissue ultrastructure was highly disrupted. All samples showed pronounced mechanical stiffening with stretch and were notably anisotropic, with greater stiffness in the circumferential than the axial direction. However, there were significant intrapatient variations in wall stiffness and stress. In biaxial tests in which the longitudinal stretch was held constant at 1.1 as the circumferential stretch was extended to 1.1, the maximum average circumferential stress was 330 ± 70 kPa, while the maximum average axial stress was 190 ± 30 kPa. A constitutive model considering the wall as anisotropic with two preferred directions fit the measured data well. No statistically significant differences in tissue mechanical properties were found based on patient gender, age, maximum bulge diameter, height, weight, body mass index, or smoking history. Although a larger patient cohort is merited to confirm these conclusions, the project provides new insight into the relationships between patient natural history, histopathology, and mechanical behavior that may be useful in the development of accurate methods for rupture risk evaluation.

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Corrigendum to: A constitutive description of the anisotropic response of the fascia lata

Cited by 2 publications

References 1 publication

Pulsatile flow measurements and wall stress distribution in a patient specific abdominal aortic aneurysm phantom

Pulsatile flow measurements and wall stress distribution in a patient specific abdominal aortic aneurysm phantom

Histology and Biaxial Mechanical Behavior of Abdominal Aortic Aneurysm Tissue Samples

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