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Fundamentals of Engineering Plasticity by William F.,Hosford

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10 Pencil-Glide Calculations of Yield Loci

Introduction

For pencil glide, the five independent slip variable necessary to produce an arbitrary shape change can be the amount of slip in a given direction and the orientation of the plane (angle of rotation about the direction). There are two possibilities for the five variables: Either three or four active slip directions can be active. Chin and Mammel [1] used a Taylor type analysis for combined slip on {110}, {123}, and {112} planes, finding that Mav for axially symmetric flow = 2.748 (Figure 10.1). Hutchinson [2] approximated pencil glide by assuming slip on a large, but finite number of slip planes. Both of these analyses used the least work approach of Taylor. Penning [3] described a least-work ...

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