J. Phys. IV France
Volume 105, March 2003
Page(s) 199 - 206

J. Phys. IV France
105 (2003) 199
DOI: 10.1051/jp4:20030188

Description of anisotropy of textured metals using macro and micro models

K. Kowalczyk and Z. Mroz

Institute of Fundamental Technological Research PAS, Swietokrzyska 21, 00049 Warsaw, Poland

In the paper description of anisotropy of textured metals using macro and micro models is compared. In the present macro-approach the texture anisotropy is described by introducing a second order microstructure tensor whose principal directions specify the orthotropy axes. A scalar orientation parameter $\eta$ is introduced in order to specify the relative orientation of the generalized traction vector with respect to anisotropy axes. The yield stress is assumed to depend on the parameter $\eta$ with specific forms introduced in order to provide quantitative description of yield stress variation with loading orientation. The phenomenological approach is next confronted with the microstructural approach based on the analysis of crystallographic slip and induced lattice reorientation in a representative grain aggregate. The resulting yield surface for polycrystalline aggregate is then compared with the macroscopic description based on the orientational variation of the yield stress. The proposed macro description seems much simpler from micro-approach and could prove convenient in the analysis of technological processes for textured materials.

© EDP Sciences 2003