title: Sinuous flow in metals.
abstract: Annealed metals are surprisingly difficult to cut, involving high forces and an unusually thick "chip." This anomaly has long been explained, based on ex situ observations, using a model of smooth plastic flow with uniform shear to describe material removal by chip formation. Here we show that this phenomenon is actually the result of a fundamentally different collective deformation mode--sinuous flow. Using in situ imaging, we find that chip formation occurs via large-amplitude folding, triggered by surface undulations of a characteristic size. The resulting fold patterns resemble those observed in geophysics and complex fluids. Our observations establish sinuous flow as another mesoscopic deformation mode, alongside mechanisms such as kinking and shear banding. Additionally, by suppressing the triggering surface undulations, sinuous flow can be eliminated, resulting in a drastic reduction of cutting forces. We demonstrate this suppression quite simply by the application of common marking ink on the free surface of the workpiece material before the cutting. Alternatively, prehardening a thin surface layer of the workpiece material shows similar results. Besides obvious implications to industrial machining and surface generation processes, our results also help unify a number of disparate observations in the cutting of metals, including the so-called Rehbinder effect.
authors.affiliation: Center for Materials Processing and Tribology, School of Industrial Engineering, Purdue University, West Lafayette, IN 47907.
authors.forename: Ho
authors.initials: H
authors.lastname: Yeung
authors.affiliation: Center for Materials Processing and Tribology, School of Industrial Engineering, Purdue University, West Lafayette, IN 47907.
authors.forename: Koushik
authors.initials: K
authors.lastname: Viswanathan
authors.affiliation: Center for Materials Processing and Tribology, School of Industrial Engineering, Purdue University, West Lafayette, IN 47907.
authors.forename: Walter Dale
authors.initials: WD
authors.lastname: Compton
authors.affiliation: Center for Materials Processing and Tribology, School of Industrial Engineering, Purdue University, West Lafayette, IN 47907 chandy@purdue.edu.
authors.forename: Srinivasan
authors.initials: S
authors.lastname: Chandrasekar
keywords: deformation; folding; instability; metal cutting; plasticity