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The purpose of applying the plasticity theory in metal forming is to investigate the mechanics of plastic deformation in metal forming processes. Such investigation allows the analysis and prediction of metal flow (velocities, strain rates, and strains); temperatures and heat transfer; local variation in material strength or flow stress; and stresses, forming load, pressure, and energy. This chapter focuses on the effects of some of these parameters on deformation in metal forming processes. The discussion provides information on the formation of stress tensor in cuboidal element, presents the properties of the stress tensor, covers plane stress or biaxial stress condition, and describes the local displacement of the volume elements by the velocity field. It also covers the distribution of velocity components and strain rates within a deforming material, presents the processes involved in homogeneous deformation, and provides information on plastic (true) strain and engineering strain.

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Manas Shirgaokar, Gracious Ngaile, Plastic Deformation: Strain and Strain Rate, Cold and Hot Forging: Fundamentals and Applications, Edited By Taylan Altan, Gracious Ngaile, Gangshu Shen, ASM International, 2005, p 17–23,

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