Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrically nonlinear modelling of pre-stressed viscoelastic
  fibre-reinforced composites with application to arteries   Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites
is considered 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; the effect is that 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.

4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math