Plasticity Theory

by Jacob Lubliner

Overview

The aim of Plasticity Theory is to provide a comprehensive introduction to the contemporary state of knowledge in basic plasticity theory and to its applications. It treats several areas not commonly found between the covers of a single book: the physics of plasticity, constitutive theory, dynamic plasticity, large-deformation plasticity, and numerical methods, in addition to a representative survey of problems treated by classical methods, such as elastic-plastic problems, plane plastic flow, and limit analysis; the problem discussed come from areas of interest to mechanical, structural, and geotechnical engineers, metallurgists and others.
The necessary mathematics and basic mechanics and thermodynamics are covered in an introductory chapter, making the book a self-contained text suitable for advanced undergraduates and graduate students, as well as a reference for practitioners of solid mechanics.

Product Details

ISBN-13:	9780486318202
Publisher:	Dover Publications
Publication date:	04/22/2013
Series:	Dover Books on Engineering
Sold by:	Barnes & Noble
Format:	eBook
Pages:	544
File size:	28 MB
Note:	This product may take a few minutes to download.

About the Author

Jacob Lubliner is Professor Emeritus of Civil and Environmental Engineering at the University of California at Berkeley.

Table of Contents

1. Introduction to Continuum Thermomechanics
1.1 Mathematical Fundamentals
1.2 Continuum Deformation
1.3 Mechanics of Continuous Bodies
1.4 Constitutive Relations: Elastic
1.5 Constitutive Relations: Inelastic
2. The Physics of Plasticity
2.1 Phenomenology of Plastic Deformation
2.2 Crystal Plasticity
2.3 Plasticity of Soils, Rocks and Concrete
3. Constitutive Theory
3.1 Viscoplasticity
3.2 Rate-Independent Plasticity
3.3 Yield Criteria, Flow Rules and Hardening Rules
3.4 Uniqueness and Extremum Theorems
3.5 Limit-Analysis and Shakedown Theorems
4. Problems in Contained Plastic Deformation
4.1 Elementary Problems
4.2 Elastic-Plastic Torsion
4.3 The Thick-Walled Hollow Sphere and Cylinder
4.4 Elastic-Plastic Bending
4.5 Numerical Methods
5. Problems in Plastic Flow and Collapse I: Theories and "Exact" Solutions
5.1 Plane Problems
5.2 Collapse of Circular Plates
5.3 Plastic Buckling
6. Problems in Plastic Flow and Collapse II: Applications of Limit Analysis
6.1 Limit Analysis of Plane Problems
6.2 Beams Under Combined Stresses
6.3 Limit Analysis of Trusses, Beams and Frames
6.4 Limit Analysis of Plates and Shells
7. Dynamic Problems
7.1 Dynamic Loading of Structures
7.2 One-Dimensional Plastic Waves
7.3 Three-Dimensional Waves
8. Large-Deformation Plasticity
8.1 Large-Deformation Continuum Mechanics
8.2 Large-Deformation Constitutive Theory
8.3 Numerical Methods in Large-Deformation Plasticity
References
Index

Editorial Reviews

A self-contained text (the necessary mathematics, basic mechanics, and thermodynamics are covered in an introductory chapter) for advanced undergraduate and graduate students introduces the contemporary state of knowledge in basic plasticity theory and its applications. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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