Basics of Continuum Plasticity

Description

This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes. This book consists of three parts. The first part deals with the characteristics of plasticity and instability under simple tension or compression and plasticity in beam bending and torsion. The second part is designed to provide the basic principles of continuum mechanics, and the last part presents an extension of one-dimensional plasticity to general three-dimensional laws based on the fundamentals of continuum mechanics. Though most parts of the book are written in the context of general plasticity, the last two chapters are specifically devoted to sheet metal forming applications. The homework problems included are designed to reinforce understanding of the concepts involved. This book may be used as a textbook for a one semester course lasting fourteen weeks or longer. This book is intended to be self-sufficient such that readers can study it independently without taking another formal course. However, there are some prerequisites before starting this book, which include a course on engineering mathematics and an introductory course on solid mechanics. Front Matter ....Pages i-xvi Front Matter ....Pages 1-1 Introduction (Kwansoo Chung, Myoung-Gyu Lee)....Pages 3-22 Plasticity Characteristics (in Simple Tension/Compression) (Kwansoo Chung, Myoung-Gyu Lee)....Pages 23-42 Instability in Simple Tension Test (Kwansoo Chung, Myoung-Gyu Lee)....Pages 43-51 Physical Plasticity (Kwansoo Chung, Myoung-Gyu Lee)....Pages 53-62 Deformation of Heterogeneous Structures (Kwansoo Chung, Myoung-Gyu Lee)....Pages 63-71 Pure Bending and Beam Theory (Kwansoo Chung, Myoung-Gyu Lee)....Pages 73-109 Torsion (Kwansoo Chung, Myoung-Gyu Lee)....Pages 111-115 Front Matter ....Pages 117-117 Stress (Kwansoo Chung, Myoung-Gyu Lee)....Pages 119-129 Tensors (Kwansoo Chung, Myoung-Gyu Lee)....Pages 131-152 Gradient, Divergence and Curl (Kwansoo Chung, Myoung-Gyu Lee)....Pages 153-171 Kinematics and Strain (Kwansoo Chung, Myoung-Gyu Lee)....Pages 173-195 Front Matter ....Pages 197-197 Yield Function (Kwansoo Chung, Myoung-Gyu Lee)....Pages 199-230 Normality Rule for Plastic Deformation (Kwansoo Chung, Myoung-Gyu Lee)....Pages 231-253 Plane Stress State for Sheets (Kwansoo Chung, Myoung-Gyu Lee)....Pages 255-286 Hardening Law for Evolution of Yield Surface (Kwansoo Chung, Myoung-Gyu Lee)....Pages 287-296 Stress Update Formulation (Kwansoo Chung, Myoung-Gyu Lee)....Pages 297-314 Formability and Sprinback of Sheets (Kwansoo Chung, Myoung-Gyu Lee)....Pages 315-339 Back Matter ....Pages 341-360