Dynamic and static non-linear analysis of reinforced media: a BEM/FEM coupling approach

This work is concerned to the development and application of an effective boundary element/finite element coupling to analyse the static and dynamic behaviours of reinforced media, as for example, reinforced concrete or reinforced polymers. The boundary element formulation is based on the mass matrix approach and the finite element formulation is developed to make easier the non-linear coupling. Particularly, the finite elements are considered as simple truss elements with longitudinal unknown distributed forces that provide the contact between the internal fibres and the matrix material. The non-linear influences of the finite elements are considered as residual forces imposed on the boundary element non-linear system of equation. An internal line force is created inside the boundary element domain, in order to make possible the coupling. Experimental static results are used to validate the developed theory. Dynamic results obtained with other numerical techniques are taken in order to validate the general formulation.