An Experimental and Analytical Study of the Evolution of Crystallographic Texturing in FCC Materials

C. A. Bronkhorst, S. R. Kalidindi, L. Anand
1991 Textures and Microstructures  
A Taylor type polcrystalline model, together with a new fully implicit time integration scheme have been developed to simulate the evolution of crystallographic texture during the deformation of face centered cubic metals deforming by crystallographic slip. The constitutive equations include a new equation for the evolution of slip system deformation resistance which leads to realistic macroscopic strain hardening behavior. The good predictive capabilities of the constitutive equations and the
more » ... ime integration procedure are demonstrated by comparing numerical simulations against experimental texture measurements and stress-strain results in a series of homogeneous deformation experiments on OFHC copper. NOMENCLATURE For the most part, we shall use direct tensor notation which is standard in modern continuum mechanics. Bold lower case symbols represent vectors, bold upper case symbols second order tensors, and bold calligraphic symbols fourth order tensors. No summation is implied on repeated indices. Tensor and vector arguments are omitted for brevity and whenever there is no danger of confusion. Also, '(R)' denotes a tensor product, while '-' denotes a scalar dot product.
doi:10.1155/tsm.14-18.1031 fatcat:k4jeniotyrf6dfzjg6n5vex3ve