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CATEGORIES:Engineering - Mechanics and Materials Seminar Seri
 es
SUMMARY:Mechanics Colloquium: 'Modelling non-symmetry of c
 ollagen fibre dispersion in the elasticity of arte
 rial wall tissue' - Professor Raymond Ogden\, Scho
 ol of Mathematics and Statistics\, University of G
 lasgow
DTSTART;TZID=Europe/London:20160429T140000
DTEND;TZID=Europe/London:20160429T150000
UID:TALK65521AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/65521
DESCRIPTION:In [1] we developed a rotationally symmetric model
  to describe collagen fibre dispersion in soft bio
 logical tissues based on a generalized structure t
 ensor. This has been highly successful\, but recen
 t experimental results [2] on the collagen fibre d
 ispersion in human arterial layers have shown that
  the dispersion in the tangential plane is more si
 gnificant than that out-of-plane. A rotationally s
 ymmetric dispersion model is not therefore able to
  capture this distinction. For this reason we intr
 oduce a new non-symmetric dispersion model\, based
  on the bi-variate von Mises distribution\, which 
 is used to construct a new structure tensor. The l
 atter is incorporated in a strain-energy function 
 that accommodates both the mechanical and structur
 es features of the material\, extending our rotati
 onally symmetric dispersion model [1]. Material an
 d structural parameters were obtained by fitting p
 redictions of the model to experimental data obtai
 ned from a human abdominal aortic adventitia. In a
  finite element example the non-homogeneous stress
  distribution is obtained for circumferential and 
 axial strips under fixed extension.  This work has
  been published in the recent paper [3].\n\n[1] TC
  Gasser\, RW Ogden\, GA Holzapfel. Hyperelastic mo
 delling of arterial layers with distributed collag
 en fibre orientations. J. R. Soc. Interface 3:15-3
 5\, 2006.\n\n[2] AJ Schriefl\, G Zeindlinger\, DM 
 Pierce\, P Regitnig\, GA Holzapfel. Determination 
 of the layer-specific distributed collagen fiber o
 rientations in human thoracic and abdominal aortas
  and common iliac arteries. J. R. Soc. Interface 9
 :1275-1286\, 2012.\n\n[3] GA Holzapfel\, JA Niestr
 awska\, RW Ogden\, AJ Reinisch\, AJ. Schriefl.  Mo
 delling non-symmetric collagen fibre dispersion in
  arterial walls. J. R. Soc. Interface 12:2015.0188
 \, 2015.\n
LOCATION:Cambridge University Engineering Department\, LR4
CONTACT:Julia Schmidt
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