Aspects of Plasticity and Fracture under Bending in Al Alloys

"Bending is involved in the forming of many sheet parts and it is important to understand the phenomena involved. In this paper the basic equations describing bending on a global scale are compared with strain measurements of bent sheet. The development of strain on a local, microstructural scale is also investigated, as is the general aspects of plasticity and the failure process. It is shown that the global equations can be used to estimate the strains involved and the local strains can be attributed to various aspects of the plasticity. The bendability can be related to the fracture strain of the sheet and the ability of a sheet alloy to accommodate the necessary bending to form the part can be assessed.INTRODUCTION The ability of a sheet alloy to undergo bending without failure is an important capability in the forming of many parts and it is useful to be able to assess the bendability of an alloy during its development. The basic mechanics of bending were developed in the 1950s (Lubhan & Sachs, 1950; Hoffman & Sachs, 1953). When a sheet is bent the upper bend surface is in tension, the lower surface in compression and at some point within the sheet there is a plane of zero strain which is referred to as the neutral axis. For sheet exhibiting limited plasticity the neutral axis is static and occurs at the mid-point of the sheet thickness but for sheet exhibiting extensive plasticity the neutral axis progresses deeper in to the sheet as bending progresses. This results in two expressions for the maximum strain at the upper bend surface depending on the motion of the neutral axis. For Al alloys such as AA6111, AA6016 and the like extensive plasticity occurs and the neutral axis is expected to move during bending. However, very few studies have examined how the neutral axis motion and the strains develop, compared with the mechanics analysis. Geist and Parker (1984) used hardness measurements to investigate neutral axis motion but these experiments did not have the resolution necessary to compare the results with experiment but did indicate neutral axis motion. To understand the nature of plasticity and failure during bending it is important to know the extent of neutral axis motion, the scale of strain gradients developed through the sheet and the maximum strains occurring at the bend surface, finally comparing experimental results with the theoretical predictions. The influence of microstructure on the evolution of strain and failure can then be considered in the context of these parameters. Recently, bending in some automotive Al alloys has been reported mainly from the microstructural perspective (Lloyd, 2000, Lloyd et al., 2002, Mattei et al., 2013) and FEM studies have also investigated the development of plasticity under bending, demonstrating the tendency for strain localization (Becker, 1992, Shi et al., 2014)."