Elementary Dislocation Theory

by Weertman, Johannes; Weertman, Julia R.

ISBN13: 9780195069006

ISBN10: 0195069005

Format: Paperback

Pub. Date: 1992-06-25

Publisher(s): Oxford University Press

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Summary

This classic text of elementary dislocation theory has been reprinted to fulfill persistent demand. Because it approaches elementary dislocation theory from its most basic level, the material contained in the volume is as up-to-date as when it was first published. The text addresses many aspects of dislocation theory, including the nature of dislocations, Burgers vectors, motion and its impact on dislocations, internal stresses of dislocations, and multiplication of dislocations. The topics of this text are fundamental to the theory of dislocation behavior. Because dislocation is now widely recognized as a key factor determining the behavior of crystalline solids, specialists in electronics materials, as well as fracture mechanics, and materials science and engineering should have a solid grounding in this field. A large number of problems is provided in the text.

Description of a Dislocation

(21)

Discovery of the Dislocation

(3)

Description of the Dislocation Line

(5)

Prismatic Dislocation Loop

(2)

Motion of Dislocations

(4)

Burgers Vector of a Dislocation

(7)

The Stress Field Around a Dislocation

(23)

Review of Elasticity Theory

(10)

Displacement

(1)

Strain

(3)

Stress

(3)

Linear Elasticity Theory

(1)

Equilibrium Equations

(2)

Stress and Displacement Field of a Dislocation

(8)

Stationary Screw Dislocations

(3)

Stationary Edge Dislocations

(3)

Mixed Dislocations

(1)

Uniformly Moving Dislocations

(1)

Appendix to Chapter 2: Transformation of Stress Components

(5)

Forces on a Dislocation

(39)

Self-Energy of a Dislocation Line

(7)

Strain Energy

(1)

Screw Dislocation

(1)

Alternative Self-Energy Calculation

(2)

Edge Dislocation

(1)

Mixed Dislocation

(1)

Energy of a Curved Dislocation Line

(2)

Line Tension

(2)

Forces on Dislocations

(11)

Forces Due to Externally Applied Stress (The Peach-Koehler Equation)

(3)

Mixed Dislocation

(3)

Force Due to Internal Stresses

(4)

Forces Between Dislocations

(7)

Parallel Screw Dislocations

(1)

Parallel Edge Dislocations with Parallel Burgers Vectors

(1)

Parallel Edge Dislocations with Perpendicular Burgers Vectors

(2)

General Case

(1)

Forces Between Perpendicular Dislocations

(1)

Two Perpendicular Screw Dislocations

(1)

An Edge and a Screw Dislocation Perpendicular to Each Other

(2)

Chemical Force on a Dislocation

(5)

Total Force on a Dislocation

(7)

Dislocation Reactions in Crystals

(39)

Burgers Vectors of Two or More Combined Dislocations

(1)

Burgers Vectors of Dislocations Joined at a Node

(2)

Energy Considerations

(1)

Face-Centered Cubic Crystals

(5)

Two Dislocations on the Same (111) Plane

(1)

Two Dislocations on Different (111) Planes

(2)

The Frank Sessile Dislocation

(5)

The Shockley Partial Dislocation

(4)

Reactions Involving Perfect and Imperfect Dislocations

103

(2)

Stair-Rod Dislocation

105

(2)

The Cottrell-Lomer Lock

107

(1)

Hexagonal Close-Packed Lattice

108

(6)

Body-Centered Cubic Crystals

114

(9)

Dislocation Multiplication, Twinning, Peierls Force, and Related Topics

123

(45)

Dislocation Multiplication

123

(3)

Dislocation Pile up

126

(5)

Dislocation Intersections and Dislocation Jogs

131

(5)

Conservative and Nonconservative Motion of Jogs

136

(3)

Pole Mechanism

139

(2)

Twinning

141

(3)

Emissary Dislocations

144

(2)

Stacking Fault Tetrahedron

146

(1)

Peierls Stress

147

(21)

Simplified Calculations of the Peierls Stress of a Screw Dislocation

149

(4)

Self-Energy

153

(3)

Peierls Force

156

(12)

Image Forces, Interactions with Point Defects, and Other Topics

168

(41)

Image Forces

168

(5)

Image Dislocation

168

(2)

Image Forces Near an Interface Separating Material of Different Elastic Constants

170

(3)

Point Defect Interactions-Cottrell Pinning

173

(8)

Suzuki, or Chemical, Interaction

178

(3)

Other Interactions of Alloying Atoms and Dislocations

181

(3)

Stress-Induced Order (Schoeck-Snoek Effect)

181

(2)

Long-Range Order

183

(1)

Short-Range Order and Clustering

184

(1)

Drift of Pinned Dislocations at High Temperatures and Low Stresses

184

(3)

Small Angle Grain Boundaries

187

(8)

Symmetric Tilt Boundary

187

(2)

Energy of a Simple Tilt Boundary

189

(1)

Nonsymmetric Tilt Boundary

189

(3)

General Tilt Boundary

192

(1)

Symmetric Twist Boundary

192

(3)

Nonsymmetric Twist Boundary

195

(1)

General Small Angle Boundary

195

(1)

Curvature of a Crystal Lattice

195

(1)

Origin of Dislocations

196

(13)

Thermal Stresses

198

(1)

Impurity Atoms

198

(1)

Vacancy and Interstitial Collapse

198

(1)

Screw Dislocation Mechanism

199

(2)

Whiskers

201

(8)

Appendix

209

(2)

Index

211

Elementary Dislocation Theory

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