Continuum Theory of Plasticity

The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity. Strain and Stress.

General Principles.

Yield Criteria.

Classical Theory of Plasticity.

Recent Developments in Plasticity.

Finite Plastic Deformation.

Strain Space Formulations for Plastic Deformation.

Introduction to Dislocation Theory.

Plastic Deformation of Single Crystals.

Polycrystal Plasticity Theory.

Index. About the authors AKHTAR S. KHAN is Chair and Professor of Mechanical Engineering at the University of Maryland. He is the founding Editor-in-Chief of the International Journal of Plasticity and founder and Chairman of the International Symposium on Plasticity and Its Current Applications. Dr. Khan is a fellow of the American Society of Mechanical Engineers and has published over fifty papers in leading international journals. He received his PhD from Johns Hopkins University. SUJIAN HUANG is a Senior Project Engineer in the Materials Research Division of Smith International, Inc. Dr. Huang is a member of the American Society of Mechanical Engineers, the American Academy of Mechanics, and Pi Tau Sigma, and has published many papers in the field of plasticity. He received his PhD from the University of Oklahoma. In the half century that has passed since the publication of Rodney Hills’s classic text, The Mathematical Theory of Plasticity, the entire field of plasticity has undergone phenomenal growth. Yet, despite this development, there has been little change in the basic books on the subject, especially in the finite plastic deformation regime. To meet the need for a truly up-to-date introduction, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity. In contrast to older texts, this book provides a continuum mechanics approach to understanding and predicting the behavior of solids undergoing plastic deformation. It incorporates all the new developments of recent years and offers a lucid presentation of the essential classical contributions. The first chapter covers important elementary concepts of plasticity, including the phenomenological macroscopic nature of metals, idealizations of macroscopic plastic behavior, large and small deformations, and macroscopic and microscopic phenomena during plastic deformation. The authors then provide the continuum mechanics background necessary for understanding the more recent research by clearly presenting relevant materials on tensors, the conservation of mass, momentum, and energy, the laws of thermodynamics, the Clausius-Duhem inequality, and the principle of material objectivity. Classical theory of plasticity is thoroughly treated in chapters four and five with coverage of stress and strain, yield criteria, the Levy-Mises and Prandtl-Reuss equations, hardening, and deformation. Recent developments in plasticity are explored in discussions of the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and many topics in finite deformation plasticity theory and strain space formulation for plastic deformation. In the final chapters, the authors introduce the reader to the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. Continuum Theory of Plasticity will give graduate students and researchers in engineering mechanics and mechanical, civil and aerospace engineering a broad and uniquely modern introduction to plasticity. The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity—a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.