Plasticity is concerned with understanding the behavior of metals and alloys when loaded beyond the elastic limit, whether as a result of being shaped or as they are employed for load bearing structures. Basic Engineering Plasticity delivers a comprehensive and accessible introduction to the theories of plasticity. It draws upon numerical techniques and theoretical developments to support detailed examples of the application of plasticity theory. This blend of topics and supporting textbook features ensure that this introduction to the science of plasticity will be valuable for a wide range of mechanical and manufacturing engineering students and professionals.

Key Features

· Brings together the elements of the mechanics of plasticity most pertinent to engineers, at both the micro- and macro-levels · Covers the theory and application of topics such as Limit Analysis, Slip Line Field theory, Crystal Plasticity, Sheet and Bulk Metal Forming, as well as the use of Finite Element Analysis · Clear and well-organized with extensive worked engineering application examples, end of chapter exercises and a separate worked solutions manual


Senior undergrad and graduate level students in mechanical and manufacturing engineering; aeronautical, materials and metallurgical engineering and related disciplines/sub-disciplines (including structural mechanics, solid mechanics, elasticity, plasticity, mechanics of materials, metal forming mechanics, civil engineering);Practicing manufacturing engineers dealing with plastic formed components, such as pressure vessels and other loaded structures; fabrication engineers

Table of Contents

Preface List of Notations Chapter 1: Stress Analysis 1.1 Introduction 1.2 Cauchy Definition of Stress 1.3 3D Stress Analysis 1.4 Principal Stresses and Invariants 1.5 Principal Stresses as Co-ordinates 1.6 Alternative Stress Definitions Bibliography Exercises Chapter 2: Strain Analysis 2.1 Introduction 2.2 Infinitesimal Strain Tensor 2.3 Large Strain Definitions 2.4 Finite Strain Tensors 2.5 Polar Decomposition 2.6 Strain Definitions References Exercises Chapter 3: Yield Criteria 3.1 Introduction 3.2 Yielding of Ductile Isotropic Materials 3.3 Experimental Verification 3.4 Anisotropic Yielding in Polycrystals 3.5 Choice of Yield Function References Exercises Chapter 4: Non-Hardening Plasticity 4.1 Introduction 4.2 Classical Theories of Plasticity 4.3 Application of Classical Theory to Uniform Stress States 4.4 Application of Classical Theory to Non-Uniform Stress States 4.5 Hencky versus Prandtl-Reuss References Exercises Chapter 5: Elastic-Perfect Plasticity 5.1 Introduction 5.2 Elastic-Plastic Bending of Beams 5.3 Elastic-Plastic Torsion 5.4 Closed Thick-Walled Pressure Cylinder with Closed-Ends 5.5 Open-Ended Cylinder and Thin Disc Under Pressure 5.6 Rotating Disc References Exercises Chapter 6: Slip Line Fields


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© 2006
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About the author

David Rees

Affiliations and Expertise

Senior Lecturer in Applied Mechanics, Brunel University, UK