A review of recent investigations using the Marciniak-Kuczynski technique in conjunction with crystal plasticity models

Abstract

The Marciniak-Kuczynski (MK) technique, which describes the progressive evolution of an initial imperfection and the subsequent necking of the sheet metal, has been the most popular model for the study of sheet metal formability. For at least the last two decades, the MK analysis has proved to be a simple and effective approach to model the limit-strains associated with strain localization and hence, with the determination of the forming limit curve (FLC). It is widely recognized that the constitutive model used to describe the material behavior is critical in the prediction of the FLC and the MK-approach in conjunction with a crystal plasticity (CP) constitutive model allows for the study of how texture and anisotropy affect FLCs. The present paper reviews many of these investigations, and it presents a comprehensive summary of the studies available in the literature (i.e. studies using a texture-based yield criterion, a CP-FEM textural inhomogeneity approach and rate independent and rate-dependent constitutive descriptions under full-constraint and self-consistent homogenization conditions).