Theory of Plasticity

3rd Edition

Authors: Jagabanduhu Chakrabarty
Paperback ISBN: 9780750666381
eBook ISBN: 9780080481364
Imprint: Butterworth-Heinemann
Published Date: 15th March 2006
Page Count: 896
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Plasticity is concerned with the mechanics of materials deformed beyond their elastic limit. A strong knowledge of plasticity is essential for engineers dealing with a wide range of engineering problems, such as those encountered in the forming of metals, the design of pressure vessels, the mechanics of impact, civil and structural engineering, as well as the understanding of fatigue and the economical design of structures.

Theory of Plasticity is the most comprehensive reference on the subject as well as the most up to date -- no other significant Plasticity reference has been published recently, making this of great interest to academics and professionals. This new edition presents extensive new material on the use of computational methods, plus coverage of important developments in cyclic plasticity and soil plasticity, and is accompanied by a fully worked solutions manual.

Key Features

  • A complete plasticity reference for graduate students, researchers and practicing engineers; no other book offers such an up to date or comprehensive reference on this key continuum mechanics subject
  • Updates with new material on computational analysis and applications, new end of chapter exercises and a worked solutions manual
  • Plasticity is a key subject in all mechanical engineering disciplines, as well as in manufacturing engineering and civil engineering. Chakrabarty is one of the subject's leading figures.


Graduate level students in aeronautical, mechanical, materials & metallurgical engineering & related disciplines including structural mechanics, solid mechanics, elasticity, plasticity, mechanics of materials, metal forming mechanics, civil engineering; Secondary audience: Research students/scientists; professional engineers in structural engineering (esp. aeronautical, but also marine engineering & more general structural/civil engineering applications; engineers dealing with pressure vessels & other loaded structures; fabrication engineers)

Table of Contents

Preface Preface to the third edition

Chapter 1: Stresses and Strains 1.1 Introduction 1.2 The Stress–Strain Behavior 1.3 Analysis of Stress 1.4 Mohr’s Representation of Stress 1.5 Analysis of Strain Rate 1.6 Concepts of Stress Rate Problems

Chapter 2: Foundations of Plasticity 2.1 The Criterion of Yielding 2.2 Strain-Hardening Postulates 2.3 The Rule of Plastic Flow 2.4 Particular Stress–Strain Relations 2.5 The Total Strain Theory 2.6 Theorems of Limit Analysis 2.7 Uniqueness Theorems 2.8 Extremum Principles Problems

Chapter 3: Elastoplastic Bending and Torsion 3.1 Plane Strain Compression and Bending 3.2 Cylindrical Bars Under Torsion and Tension 3.3 Thin-Walled Tubes Under Combined Loading 3.4 Pure Bending of Prismatic Beams 3.5 Bending of Beams Under Transverse Loads 3.6 Torsion of Prismatic Bars 3.7 Torsion of Bars of Variable Diameter 3.8 Combined Bending and Twisting of Bars Problems

Chapter 4: Plastic Analysis of Beams and Frames 4.1 Introduction 4.2 Limit Analysis of Beams 4.3 Limit Analysis of Plane Frames 4.4 Displacements in Plane Frames 4.5 Variable Repeated Loading 4.6 Minimum Weight Design 4.7 Influence of Axial Forces 4.8 Limit Analysis of Space Frames Problems

Chapter 5: Further Solutions of Elastoplastic Problems 5.1 Expansion of a Thick Spherical Shell 5.2 Expansion of a Thick-Walled Tube 5.3 Thermal Stresses in a


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About the Author

Jagabanduhu Chakrabarty

Affiliations and Expertise

Professor of Mechanical Engineering, Penn State University, USA, Previously University of Birmingham, UK


“This is a well-established, graduate level text designed for mechanical, civil and materials engineers. The style adopted is very clear and the text gives very good explanations of complex ideas, such as slip line field theory. A significant feature of the text is the extensive referencing to original articles, reviews and other texts.” — Brian Ralph, Emeritus Professor, School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UK