The behavior of polycrystalline aggregates subjected to simple shear deformations has been investigated by several authors (see, for example, [4, 5, 6, 7, 12]). In these works, predictions of both the Taylor model and finite element simulations of the evolution of crystallographic texture and the macroscopic stress-strain response have been compared to experimental data. It is concluded that both models capture the gross features of the observed texture. However, as is well known, the pole densities due to the Taylor model reach higher values than experimental pole densities. It follows from experimental and computational work that the resulting texture can be described in terms of ideal textures (see [4]). The purpose of this paper is to investigate quantitatively the influence of the initial (rolling) texture on the further texture development under simple shear. The particular problem considered here is that of comparing the fibre structure in the initially isotropic and the pretextured aggregate after shearing with regard to the fibre identification, the volume fractions of fibres and the in fibre density distribution. The results are compared with experiments on polycrystalline aluminium samples performed by Williams [1]. For homogenization, the representative volume element technique is compared to the Taylor model.
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