Chung K., Lee, M.-G. Basics of Continuum Plasticity

Springer, 2018. — 360 p. — ISBN: 9811083053.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.Plasticity Characteristics (in Simple Tension/Compression)
Instability in Simple Tension Test
Physical Plasticity
Deformation of Heterogeneous Structures
Pure Bending and Beam Theory
Torsion
Stress
Tensors
Gradient, Divergence and Curl
Kinematics and Strain
Yield Function
Normality Rule for Plastic Deformation
Plane Stress State for Sheets
Hardening Law for Evolution of Yield Surface
Stress Update Formulation
Formability and Sprinback of Sheets