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- Title
Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries.
- Authors
Tagiltsev, I. I.; Shutov, A. V.
- Abstract
Mechanical behaviour of pre-stressed fibre-reinforced composites is modelled in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration corresponds to the load-free state of the structure and another one to the stress-free state of each material particle. The applicability of the approach is demonstrated in terms of a viscoelastic material model; both the matrix and the fibre are modelled using a multiplicative split of the deformation gradient tensor; a transformation rule for initial conditions is elaborated and specified. Apart from its simplicity, an important advantage of the approach is that well-established numerical algorithms can be used for pre-stressed inelastic structures. The interrelation between the advocated approach and the widely used "opening angle" approach is clarified. A full-scale FEM simulation confirms the main predictions of the "opening angle" approach. A locking effect is discovered: in some cases the opening angle of the composite is essentially smaller than the opening angles of its individual layers. Thus, the standard cutting test typically used to analyse pre-stresses does not carry enough information and more refined experimental techniques are needed.
- Subjects
ARTERIES
- Publication
Biomechanics & Modeling in Mechanobiology, 2021, Vol 20, Issue 1, p323
- ISSN
1617-7959
- Publication type
Article
- DOI
10.1007/s10237-020-01388-3