Basic Engineering Plasticity

Basic Engineering Plasticity

An Introduction with Engineering and Manufacturing Applications

1st Edition - June 30, 2006

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  • Author: David Rees
  • eBook ISBN: 9780080470900
  • Paperback ISBN: 9780750680257

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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, and end of chapter exercises


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

    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

    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

    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

    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

    Chapter 6: Slip Line Fields
    6.1 Introduction
    6.2 Slip Line Field Theory
    6.3 Frictionless Extrusion Through Parallel Dies
    6.4 Frictionless Extrusion Through Inclined Dies
    6.5 Extrusion With Friction Through Parallel Dies
    6.6 Notched Bar in Tension
    6.7 Die Indentation
    6.8 Rough Die Indentation
    6.9 Lubricated Die Indentation

    Chapter 7: Limit Analysis
    7.1 Introduction
    7.2 Collapse of Beams
    7.3 Collapse of Structures
    7.4 Die Indentation
    7.5 Extrusion
    7.6 Strip Rolling
    7.7 Transverse Loading of Circular Plates
    7.8 Concluding Remarks

    Chapter 8: Crystal Plasticity
    8.1 Introduction
    8.2 Resolved Shear Stress and Strain
    8.3 Lattice Slip Systems
    8.4 Hardening
    8.5 Yield Surface
    8.6 Flow Rule
    8.7 Micro- to Macro-Plasticity
    8.6 Subsequent Yield Surface
    8.7 Summary

    Chapter 9: The Flow Curve
    9.1 Introduction
    9.2 Equivalence in Plasticity
    9.3 Uniaxial Tests
    9.4 Torsion Tests
    9.5 Uniaxial and Torsional Equivalence
    9.6 Modified Compression Tests
    9.7 Bulge Test
    9.8 Equations to the Flow Curve
    9.9 Strain and Work Hardening Hypotheses
    9.10 Concluding Remarks

    Chapter 10: Plasticity With Hardening
    10.1 Introduction
    10.2 Conditions Associated with the Yield Surface
    10.3 Isotropic Hardening
    10.4 Validation of Levy-Mises and Drucker Flow Rules
    10.5 Non-Associated Flow Rules
    10.6 Prandtl-Reuss Flow Theory
    10.7 Kinematic Hardening
    10.8 Concluding Remarks

    Chapter 11; Orthotropic Plasticity
    11.1 Introduction
    11.2 Orthotropic Flow Potential
    11.3 Orthotropic Flow Curves
    11.4 Planar Isotropy
    11.5 Rolled Sheet Metals
    11.6 Extruded Tubes
    11.7 Non-Linear Strain Paths
    11.8 Alternative Yield Criteria
    11.9 Concluding Remarks

    Chapter 12: Plastic Instability
    12.1 Introduction
    12.2 Inelastic Buckling of Struts
    12.3 Buckling of Plates
    12.4 Tensile Instability
    12.5 Circular Bulge Instability
    12.6 Ellipsoidal Bulging of Orthotropic Sheet
    12.7 Plate Stretching
    12.8 Concluding Remarks

    Chapter 13: Stress Waves in Bars
    13.1 Introduction
    13.2 The Wave Equation
    13.3 Particle Velocity
    13.4 Longitudinal Impact of Bars
    13.5 Plastic Waves
    13.6 Plastic Stress Levels
    13.7 Concluding Remarks

    Chapter 14: Production Processes
    14.1 Introduction
    14.2 Hot Forging
    14.3 Cold Forging
    14.4 Extrusion
    14.5 Hot Rolling
    14.6 Cold Rolling
    14.7 Wire and Strip Drawing
    14.8 Orthogonal Machining
    14.8 Concluding Remarks


Product details

  • No. of pages: 528
  • Language: English
  • Copyright: © Butterworth-Heinemann 2006
  • Published: June 30, 2006
  • Imprint: Butterworth-Heinemann
  • eBook ISBN: 9780080470900
  • Paperback ISBN: 9780750680257

About the Author

David Rees

Affiliations and Expertise

Senior Lecturer in Applied Mechanics, Brunel University, UK

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