E-Book Overview
This self-contained text for advanced undergraduate and graduate students is devoted to classical quasistatic problems of rate-independent plasticity theory. It discusses the finite element method for both viscoplastic and rate-independent plastic solids, in addition to large deformation plasticity numerical methods for rate-based formulations and hyperelastic methods. 1990 edition.
E-Book Content
PLASTICITY THEORY
Revised Edition (PDF)
Jacob Lubliner University of California at Berkeley
Copyright 1990, 2006 by Jacob Lubliner This book was previously published by Pearson Education, Inc.
Preface When I first began to plan this book, I thought that I would begin the preface with the words “The purpose of this little book is...” While I never lost my belief that small is beautiful, I discovered that it is impossible to put together a treatment of a field as vast as plasticity theory between the covers of a truly “little” book and still hope that it will be reasonably comprehensive. I have long felt that a modern book on the subject — one that would be useful as a primary reference and, more importantly, as a textbook in a graduate course (such as the one that my colleague Jim Kelly and I have been teaching) — should incorporate modern treatments of constitutive theory (including thermodynamics and internal variables), large-deformation plasticity, and dynamic plasticity. By no coincidence, it is precisely these topics — rather than the traditional study of elastic-plastic boundary-value problems, slip-line theory and limit analysis — that have been the subject of my own research in plasticity theory. I also feel that a basic treatment of plasticity theory should contain at least introductions to the physical foundations of plasticity (and not only that of metals) and to numerical methods — subjects in which I am not an expert. I found it qui