Deformation Geometry for Materials Scientists - 1st Edition - ISBN: 9780080172378, 9781483159669

Deformation Geometry for Materials Scientists

1st Edition

International Series on Materials Science and Technology

Authors: C. N. Reid
Editors: W. S. Owen
eBook ISBN: 9781483159669
Imprint: Pergamon
Published Date: 1st January 1973
Page Count: 220
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Description

Deformation Geometry for Materials Scientists presents the study of macroscopic geometry of deformation, particularly on crystalline solids. The book discusses a wide range of topics on the deformation of crystalline materials. The text discusses concepts on stress and strain on materials and tensile tests. Linear elastic and plastic deformations; and the macroscopic geometry mechanism of slip and deformation twinning are covered as well. Materials scientists, engineers, and students of materials science will find this book a great reference material.

Table of Contents


Preface

1. The Concepts of Stress and Strain

Stress

Inhomogeneous Stress

The Stress Tensor

Principal Axes

Familiar Types of Stress State

The Graphical Representation of Stress by the Mohr Circle

True Stress and Engineering Stress

Strain

Strain in Two Dimensions

Strain in Three Dimensions

The Strain Ellipsoid

2. The Tensile Test

Types of Tensile Test

Types of Mechanical Response to Stress

Features of the Tensile Test

The Tensile Instability

The Lüders Band—A Self-arresting Tensile Instability

Super-plasticity

The Elastic Behavior of the Tensile Machine

The Load Relaxation Test

The Approach to a Steady-state Load-Extension Curve

3. Linear Elastic Deformation

Hooke's Law in Three Dimensions

The Energy Stored in an Elastically Strained Body

The Effect of Material Symmetry on the Elastic Constants

The Bulk Modulus of Anisotropic Materials

The Shear Modulus in Anisotropic Materials

Specifying Elastic Anisotropy in Materials of Cubic and Hexagonal Symmetry

4. Plastic Deformation of Isotropic Materials

The State of Stress

The Criterion for Yielding under a General State of Stress

The Notion of an Effective Stress

Stress-Strain Relations

Tensile Instability under Biaxial Stresses

5. The Geometry of Single and Duplex Slip

What is Slip?

The Initiation of Slip

The Reorientation of Directions by Single Slip

The Reorientation of Planes by Single Slip

Single Slip in Response to a Tensile Force

Single Slip in Response to a Compressive Force

Single Slip in Crystals of Cubic Symmetry

Slip on Two Systems—Duplex Slip

Examples of Duplex Slip in Cubic Crystals

6. Slip on More than Two Systems—multiple Slip

Strains Produced by Slip

Independent Slip Systems and the Effect of Cross-slip

The Selection of Active Systems

The State of Stress for Multiple Slip

The Principle of Maximum Work

Deformation of a Polycrystalline Aggregate

Rigid Body Rotation During Slip

7. Plastic Deformation of Crystals by Twinning

The Definition of a Twinned Crystal

The Origin of Twins

The Geometry of Mechanical Twinning

Experimental Identification of Twinning Elements

Twinning on the Atomic Scale

Nature's Choice of Twinning Elements

The Sense of the Twinning Shear

Transformation of Crystallographic Directions by Twinning

Changes in Length Caused by Twinning

Appendix

Bibliography

Index

Details

No. of pages:
220
Language:
English
Copyright:
© Pergamon 1973
Published:
Imprint:
Pergamon
eBook ISBN:
9781483159669

About the Author

C. N. Reid

About the Editor

W. S. Owen