Development, implementation, and assessment of a continuum model of anisotropic behavior of polycrystalline materials due to texture using a second-order structure tensor

An Evolving Micro-structural Model of Inelasticicty is modified to capture evolving anisotropy resulting from underlying texture. Anisotropy is modeled via a second-order orientation tensor resulting from the truncation to second order of an orientation distribution function and the temporal evolution of the tensor arises naturally from the closure properties associated with the truncation. A scalar variable defined by the Euclidean norm of the current state of the structure tensor and the direction of the rate of continuing plastic deformation is incorporated in the flow rule. The model predictions is compared with yield surface data after various preloads for Aluminum 1100-O, differences in compression versus torsion for 304L SS, and large directional changes in load path for AL 1100-O. Additional assessments of the model which compared the predictions of the model with and without textural effects are provided.

Automated summary

This paper modifies an evolving micro-structural model of inelasticity to capture the evolving anisotropy resulting from underlying texture. Anisotropy is modeled with a second-order orientation tensor and its temporal evolution is naturally derived from the closure properties. A scalar variable defined by the Euclidean norm of the current state of the structure tensor and the direction of plastic deformation is incorporated in the flow rule. The model's predictions are compared with experimental data, and additional assessments comparing the model with and without textural effects are provided.