  A three-dimensional multi-scale computational homogenisation framework is
developed for the prediction of nonlinear micro/meso-mechanical response of the
fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e.
matrix elasto-plastic response and fibre-matrix decohesion are considered and
modelled using a non-associative pressure dependent paraboloidal yield
criterion and cohesive interface elements respectively. A linear-elastic
transversely isotropic material model is used to model yarns/fibres within the
representative volume element (RVE). A unified approach is used to impose the
RVE boundary conditions, which allows convenient switching between linear
displacement, uniform traction and periodic boundary conditions. The
computational model is implemented within the framework of the hierarchic
finite element, which permits the use of arbitrary orders of approximation.
Furthermore, the computational framework is designed to take advantage of
distributed memory high-performance computing. The accuracy and performance of
the computational framework are demonstrated with a variety of numerical
examples, including unidirectional FRP composite, a composite comprising a
multi-fibre and multi-layer RVE, with randomly generated fibres, and a single
layered plain weave textile composite. Results are validated against the
reference experimental/numerical results from the literature. The computational
framework is also used to study the effect of matrix and fibre-matrix
interfaces properties on the homogenised stress-strain responses.
