Vol. 7, No. 6, 2012

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ISSN: 1559-3959
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

Vol. 7 (2012), No. 6, 593–611
Abstract

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
Milestones
Received: 11 May 2012
Revised: 25 July 2012
Accepted: 25 July 2012
Published: 19 November 2012
Authors
Rania Abdel Rahman
Faculty of Engineering
The French University of Egypt
BP 21 Chorouk city
Km 37, Highway Cairo-Ismailia
Egypt
Daniel George
Institute of Fluids and Solid Mechanics
University of Strasbourg / CNRS
2 rue Boussingault
67000 Strasbourg
France
Daniel Baumgartner
Institute of Fluids and Solid Mechanics
University of Strasbourg/CNRS
2 rue Boussingault
67000 Strasbourg
France
Mathieu Nierenberger
Institute of Fluids and Solid Mechanics
University of Strasbourg/CNRS
2 rue Boussingault
67000 Strasbourg
France
Yves Rémond
Institute of Fluids and Solid Mechanics
University of Strasbourg/CNRS
2 rue Boussingault
67000 Strasbourg
France
Saïd Ahzi
Institute of Fluid and Solid Mechanics UMR
University of Strasbourg/CNRS
2 Rue Boussingault
67000 Strasbourg
France