Abstract: Mechanical behaviour of pre-stressed fbre-reinforced composites is modelled in a geometrically exact setting. A general approach which includes two diferent reference confgurations is employed: one confguration 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 fbre are modelled using a multiplicative split of the deformation gradient tensor; a transformation rule for initial conditions is elaborated and specifed. 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 clarifed. A full-scale FEM simulation confrms the main predictions of the “opening angle” approach. A locking efect 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 refned experimental techniques are needed.

Cite: Tagiltsev I.I. , Shutov A.V.
Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries
Biomechanics and Modeling in Mechanobiology. 2020. С.323–337. DOI: 10.1007/s10237-020-01388-3 WOS Scopus РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000574814800001
Scopus:	2-s2.0-85091915196
Elibrary:	45288531
OpenAlex:	W3090503901

Citing:

DB	Citing
Scopus	11
OpenAlex	11
Elibrary	14
Web of science	13

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