Comparison of lamellar nanostructured cubical and spherical statistical volume elements in terms of crystallographic texture and deformation behaviour

Abstract

Abstract This study presents the numerical homogenization of spherical and cubical statistical volume element (SVE). Numerical homogenization with periodic boundary conditions for spherical and cubical SVEs has been employed. The lamellar structure of eutectic Copper (Cu)-Silver (Ag) has been focused for the investigation of deformation behaviour and texture evolution. The initial texture for cold-drawn eutectic Cu-Ag composite has been approximated by a set of 200 discrete orientations. The comparison of deformation behaviour and the crystallographic texture has been investigated for two different SVEs. It is demonstrated that the SVEs with cubical shape induce an anisotropy when compared with the spherical SVEs. The numerical results for cubical and spherical SVEs in terms of deformation behaviour and crystallographic texture are in good agreement with the experimental observations.