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An asymptotic method
for the prediction of the anisotropic effective elastic
properties of the cortical vein: superior sagittal sinus
junction embedded within a homogenized cell element
Rania Abdel Rahman, Daniel George, Daniel Baumgartner, Mathieu Nierenberger, Yves Rémond and Saïd Ahzi |
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Vol. 7 (2012), No. 6, 593–611
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Abstract |
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Bridging veins (BVs) are frequently damaged in traumatic brain injury due to brain-skull relative motion. These veins, connected to the superior sagittal sinus (SSS), are prone to rupture upon head impact giving rise to an acute subdural hematoma (ASDH). We modeled the biomechanical characteristics of ASDH to study the behavior of the SSS-BVs compound with its surrounding medium. The almost periodic distribution of the BVs along the SSS allowed the use of the homogenization method based on asymptotic expansion to calculate the effective elastic properties of the brain-skull interface region. The representative volume element (RVE) under study is an anisotropic equivalent medium with homogenized elastic properties, accounting for the variations of each constituent’s mechanical properties. It includes the sinus, the BVs and blood, and the surrounding cerebrospinal fluid and tissue. The results show large variations in the RVE anisotropic properties depending on each constituent of the BV and, to a certain extent, on the variability of the surrounding constituents’ mechanical properties. |
Keywords
homogenization, mechanical behavior, bridging veins,
brain-skull interface, elastic properties, biological
material
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Milestones
Received: 11 May 2012
Revised: 25 July 2012
Accepted: 25 July 2012
Published: 19 November 2012
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Authors |
| Rania Abdel Rahman | |
| Faculty of Engineering The French University of Egypt BP 21 Chorouk city Km 37, Highway Cairo-Ismailia Egypt |
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| Daniel George | |
| Institute of Fluids and Solid
Mechanics University of Strasbourg / CNRS 2 rue Boussingault 67000 Strasbourg France |
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| Daniel Baumgartner | |
| Institute of Fluids and Solid
Mechanics University of Strasbourg/CNRS 2 rue Boussingault 67000 Strasbourg France |
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| Mathieu Nierenberger | |
| Institute of Fluids and Solid
Mechanics University of Strasbourg/CNRS 2 rue Boussingault 67000 Strasbourg France |
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| Yves Rémond | |
| Institute of Fluids and Solid
Mechanics University of Strasbourg/CNRS 2 rue Boussingault 67000 Strasbourg France |
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| Saïd Ahzi | |
| Institute of Fluid and Solid
Mechanics UMR University of Strasbourg/CNRS 2 Rue Boussingault 67000 Strasbourg France |
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