J. Phys. IV France
Volume 105, March 2003
Page(s) 11 - 18

J. Phys. IV France
105 (2003) 11
DOI: 10.1051/jp4:20030166

Identification of anisotropic Hill criteria from the channel die compression test. Application to a normal anisotropy of zirconium 702 $\alpha$

A. Gavrus1 and H. Francillette2

1  MA2G, INSA de Rennes, 20 avenue des Buttes de Coësmes, 35043 Rennes, France
2  GRCM, INSA de Rennes, 20 avenue des Buttes de Coësmes, 35043 Rennes, France

During the last years the study of the plastic deformation modes and the anisotropic mechanical behavior of zirconium alloys have been the subject of many investigations. This paper deals with a phenomenological identification of an anisotropic Hill constitutive equation of zirconium 702 $\alpha$ samples using channel die compression at room temperature. Generally, by considering the different possible orientations of the samples in the channel die device, three initial textures, named LD (longitudinal direction X), TD (transverse direction Y) and ND (normal direction Z), were defined with the corresponding stresses $\sigma_{LD}$, $\sigma_{ND}$ and $\sigma_{TD}$. To describe the anisotropy of the material, a quadratic Hill criteria is used. After an analytical description of the plane compression test, the Hill parameters can be expressed as a function of $\sigma_{LD}$, $\sigma_{ND}$ and $\sigma_{TD}$. The variation of these parameters with a proposed equivalent plastic strain, desaibing the deformation history of the material, is analyzed. Finaliy a constitutive equation of the normal anisotropy in the plane of the plate is obtained.

© EDP Sciences 2003