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In this paper the scalability of a computationally intensive, multi-scale theory exhibiting progressive damage in a 3-D woven composite is investigated. The theory is based on evolving some fundamental damage modes in a representative volume element (RVE) of the micro-structure of a 3-D woven composite. The evolving damage modes affect the local stresses in the composite's actual microstructure and eventually the overall stresses in the composite. This situation is considered in the RVE via a transformation field analysis (TFA). Since the model is computationally intensive, it benefited by having its computations made parallel. This was accomplished by coupling the model to LS-DYNA3D, an explicit Lagrangian finite element code. The coupled RVE-TFALSDYNA3D code enabled the study of weave-level damage progression in the 3-D woven composites under general impact conditions and could be a useful design tool. In the present work, the scalability of the coupling between the RVE-TFA and LS-DYNA3D codes is examined and results are presented.