Continuum Theory of Plasticity

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.Khan, Akhtar S. is the author of 'Continuum Theory of Plasticity', published 1995 under ISBN 9780471310433 and ISBN 0471310433.