The macroscopic modelling of in-plane elastic behaviour of composite solids made with regular orthotropic texture is the object of the present study. At the macro-scale, the effect of heterogeneity can be included by adopting an homogenisation toward a generalised continuum on which specific finite element codes are based. As an alternative, a specific rigid element approach has been recently p...

Based on more than three decades of rod finite element theory, this publication unifies all the successful contributions found in literature and eradicates arising drawbacks like loss objectivity, locking, path-dependence redundant coordinates. Specifically, idea interpolating nodal orientations using relative rotation vectors, proposed by Crisfield Jeleni\'c 1999, is extended to interpolation ...

This article addresses the dynamic modeling of geometrically exact sliding Cosserat rods. Such systems need to consider non-material time-varying domains which Lagrangian view point solid mechanics is inappropriate. In here presented, we use model inextensible Kirchhoff rods along a domain whose time variations are not necessarily imposed but governed by dynamics, i.e. depend on configuration r...