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, Said Ahzi

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)593-611
Number of pages19
JournalJournal of Mechanics of Materials and Structures
Volume7
Issue number6
DOIs
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

Effective Properties
Veins
Elastic Properties
Asymptotic Methods
Brain
Prediction
Cell
Cerebrospinal fluid
Homogenization method
Mechanical properties
Acute
Mechanical Properties
Blood
Tissue
Homogenization Method
Rupture
Almost Periodic
Asymptotic Expansion
Calculate
Fluid

Keywords

  • Biological material
  • Brain-skull interface
  • Bridging veins
  • Elastic properties
  • Homogenization
  • Mechanical behavior

ASJC Scopus subject areas

  • Mechanics of Materials
  • Applied Mathematics

Cite this

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. / Rahman, Rania Abdel; George, Daniel; Baumgartner, Daniel; Nierenberger, Mathieu; Rémond, Yves; Ahzi, Said.

In: Journal of Mechanics of Materials and Structures, Vol. 7, No. 6, 2012, p. 593-611.

Research output: Contribution to journalArticle

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AU - Nierenberger, Mathieu

AU - Rémond, Yves

AU - Ahzi, Said

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