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In considering small deformation of solids, it is common to assume linear elasticity. Where large deformation is concerned, material non-linearity – whether hyper elasticity, strain hardening, etc – must be considered. In large deformation of textile composites, overall material non-linearity consists of (a) constituent material non-linearity, and (b) geometrical non-linearity due to strain-deformation relation. This paper firstly proposes a finite element procedure for obtaining the stiffness matrix of a representative volume element. The procedure involved is simple due to an effective decoupling methodology. Secondly, co-ordinate updating of the FE mesh is performed to allow readjustment to the fibre bundle elements in the RVE. This enables the process of fabric realignment to be theoretically mimicked to consider the influence of fibre bundle reorganisation on the overall stiffness of the textile composite – hence geometrical non-linearity.

Geometrical Non-Linearity of Textile Composites in Large Deformation