Basic Engineering Plasticity

Basic Engineering Plasticity, 1st Edition

Basic Engineering Plasticity, 1st Edition,David Rees,ISBN9780750680257






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The complete introduction to plasticity for students and professionals

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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


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.


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

David Rees

Affiliations and Expertise

Senior Lecturer in Applied Mechanics, Brunel University, UK

Basic Engineering Plasticity, 1st Edition

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

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