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SUMMARY:Mechanics Colloquium: 'Modelling non-symmetry of collagen fibre di
 spersion in the elasticity of arterial wall tissue' - Professor Raymond Og
 den\, School of Mathematics and Statistics\, University of Glasgow
DTSTART:20160429T130000Z
DTEND:20160429T140000Z
UID:TALK65521@talks.cam.ac.uk
CONTACT:Julia Schmidt
DESCRIPTION:In [1] we developed a rotationally symmetric model to describe
  collagen fibre dispersion in soft biological tissues based on a generaliz
 ed structure tensor. This has been highly successful\, but recent experime
 ntal results [2] on the collagen fibre dispersion in human arterial layers
  have shown that the dispersion in the tangential plane is more significan
 t than that out-of-plane. A rotationally symmetric dispersion model is not
  therefore able to capture this distinction. For this reason we introduce 
 a new non-symmetric dispersion model\, based on the bi-variate von Mises d
 istribution\, which is used to construct a new structure tensor. The latte
 r is incorporated in a strain-energy function that accommodates both the m
 echanical and structures features of the material\, extending our rotation
 ally symmetric dispersion model [1]. Material and structural parameters we
 re obtained by fitting predictions 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 an
 d axial strips under fixed extension.  This work has been published in the
  recent paper [3].\n\n[1] TC Gasser\, RW Ogden\, GA Holzapfel. Hyperelasti
 c modelling of arterial layers with distributed collagen fibre orientation
 s. J. R. Soc. Interface 3:15-35\, 2006.\n\n[2] AJ Schriefl\, G Zeindlinger
 \, DM Pierce\, P Regitnig\, GA Holzapfel. Determination of the layer-speci
 fic distributed collagen fiber orientations in human thoracic and abdomina
 l aortas and common iliac arteries. J. R. Soc. Interface 9:1275-1286\, 201
 2.\n\n[3] GA Holzapfel\, JA Niestrawska\, RW Ogden\, AJ Reinisch\, AJ. Sch
 riefl.  Modelling non-symmetric collagen fibre dispersion in arterial wall
 s. J. R. Soc. Interface 12:2015.0188\, 2015.\n
LOCATION:Cambridge University Engineering Department\, LR4
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