The texture study of two-phase materials requires a previous knowledge of the distribution of strains among both phases. The way they rotate around one another is of special interest. The texture is a phenomenon that manifests itself at medium and high deformations. Therefore the study cannot usually be performed experimentally, particularly when we are dealing with high volume fraction contents. Sharing of strains is also very important in many technological applications such as forming. This paper presents a study, by the finite element technique, of those quantities as a function of volume fraction, geometry, distribution, strain hardening and yield stress ratio between the two phases. Both phases are assumed to be elasto-plastic and isotropic materials. It is shown that strains and internal rotations are highly influenced by the topology of the phase distribution, yield stress ratio and volume fraction. For high yield stress ratio the hardening seems to be of less importance. It is shown that the strain is highly inhomogeneous and that averages of appropriate quantities can give a macroscopic insight on strain and rotation sharing. Among the many strain definitions the equivalent von Mises deformation will be particularly addressed for its importance in hardening, damage and texture. The local variations are not less important, but the focus will be on the calculation of average quantities able to guide to macroscopic constitutive equation development.

The texture study of two-phase materials requires a previous knowledge of the distribution of strains among both phases. The way they rotate around one another is of special interest. The texture is a phenomenon that manifests itself at medium and high deformations. Therefore the study cannot usually be performed experimentally, particularly when we are dealing with high volume fraction contents. Sharing of strains is also very important in many technological applications such as forming. This paper presents a study, by the finite element technique, of those quantities as a function of volume fraction, geometry, distribution, strain hardening and yield stress ratio between the two phases. Both phases are assumed to be elasto-plastic and isotropic materials. It is shown that strains and internal rotations are highly influenced by the topology of the phase distribution, yield stress ratio and volume fraction. For high yield stress ratio the hardening seems to be of less importance. It is shown that the strain is highly inhomogeneous and that averages of appropriate quantities can give a macroscopic insight on strain and rotation sharing. Among the many strain definitions the equivalent von Mises deformation will be particularly addressed for its importance in hardening, damage and texture. The local variations are not less important, but the focus will be on the calculation of average quantities able to guide to macroscopic constitutive equation development.

Al-Li alloys develop sharp textures with a strong brass component after fabrication. In the case of thick sheet and plate extrusions through thickness texture gradients are also commonly observed. These textures are different from those that develop in conventional aluminum alloys and their origin has not yet been completely understood. In the present work the sources of texture gradients in the 8090 alloy and 8090 based particulate composites, both formed as thick plate extrusions, have been studied. Results showed that strain gradients, and redundant shears in particular, are responsible for the development of textures in the 8090 alloys. In the SiC reinforced particulate composites, the presence of reinforcement resulted in the development of significantly weaker deformation textures without dominant brass component within the plate and a mixture of recrystallization and surface shear type textures at the surface. The development of textures in the composites has been attributed to the absence of redundant shears in the bulk and to a surface deformation gradient introduced by the presence of SiC particles.