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RUBERT, J. B. (1997). Finite defonnations and anisotropy by mapping tensors applied to composites and sheet metal fonning. São Carlos, 228p. Tese (Doutorado)Escola de Engenharia de São Carlos, Universidade de São Paulo. The aim of this work is to valuate the performance of the theory o f interacting substances in the continuum (role ofmixtures) applied to composites including anisotropic substances which are modeled by an isotropic equivalent fonnulation. In the theoretical field, with respect to the anisotropy consideration by an equivalent isotropic fonnulation on the defonned configuration, convenient mapping tensors for stresses and strains in the fictitious space are deduced and applied to large defonnation problems. The proposed models of anisotropy and composites were implemented in an explicit code for dynamic analysis with large defonnations. The code is applied to the solution of sheet metal forming processes and multiphase composites including an analysis of a brittle matrix composite reinforced by short fibers by a simple elastoplastic damage model. The numerical results of the chosen examples are in good agreement with those suggested in some references or with some reported experiments.

Grandes deformações e anisotropia por tensores de mapeamento aplicados a problemas de materiais compostos e na conformação de metais