Deterministic multiple scattering formulations based on Twersky's approach and the polymerisation technique are presented. These lead to full-scale simulations of elastic-wave multiple scattering in fibre-reinforced composites. It is shown that the convergence and accuracy of the composite models depend on the geometry of the composite structure and the strategy used for the polymerisation. The paper explains why the multiple scattering formulation may not converge if precautions are not taken during polymerisation. A strategy is proposed to improve convergence. Results are presented for the case of an incident harmonic SH wave impinging on a bounded Ti/SiC composite region, the plane of propagation being orthogonal to the fibres' axis.
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