In this book the classical rigid-plastic model of deformed workpiece and the characteristic (slipline) method of analysis is assumed. The rigid-plastic solid assumption is deemed reasonable for the problems of technological plasticity with large scale plastic flow, where small elastic stains are negligible. Along with classical results of the theory of plasticity the book includes many original analytical and numerical solutions of the problems of technological plasticity obtained by the authors in Russia and unknown for most western readers. The results of the analyses are given by analytical formulae and many graphs and tables, so the book will be useful for the practical and research engineers. It may also be used as a textbook by graduate students and engineers.

Table of Contents

Preface. List of figures. List of tables. Basic notation. Elements of the Plasticity Theory. Stress State. Flow kinematics. Rigid-plastic solid and yield criteria. Flow rule. Complete solution and problems formulation. Stress and velocity discontinuities. Generalized solutions. Plastic constant estimation. Extremum Theorems. Virtual energy rate equation. Extremum theorem for real velocity field. Extremum theorem for real stress field. Upper and lower bound estimation methods. Plane Strain Flow Theory. Basic equations. Characteristics. Geometrical properties of the characteristics. Velocity and stress discontinuities. Basic boundary value problems. Analytical method. Velocity hodograph and plastic dissipation rate. Statically and kinematically determinate problems. Statical stress field continuation into the rigid region. Axisymmetric Flow Theory. Basic equations. Characteristics for tresca yield criterion. Stress and velocity discontinuities. Plastic dissipation rate control. Numerical and Graphical Methods. Graphical generation of plane strain characteristic net. Numerical solution of the axisymmetric plastic flow equations. Computer procedures for the basic boundary value problems. Numerical control of plastic dissipation rate. Sheet Rolling. Sheet rolling basic concepts. Thick-sheet rolling. Mean-thickness sheet rolling. Thick-sheet rolling with back-tension. Steady-State Forming Processes. Extrusion, drawing and reducing through inclined dies with small workpiece reduction. Extrusion and piercing with large workpiece reduction. Optimal die profiles for extrusion and drawing. Steady-state electrical upsetting. Workpiece Compression By Flat Dies and Strip Cutting. Plane strain thin workpiece compression between rough parallel dies. Thin workpiece compression between flat elastic dies. Thick workpiece compression by flat rough dies


© 1994
Elsevier Science
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