Texture and Anisotropy: Preferred Orientations in Polycrystals and their Effect on Materials Properties

by
Format: Paperback
Pub. Date: 2000-08-15
Publisher(s): Cambridge University Press
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Summary

Many man-made materials and naturally occurring substances are aggregates of crystals, or polycrystals, with a non-random distribution of orientations. In such textured polycrystals, many macroscopic physical properties are anisotropic, i.e. they depend on direction. This book is about the measurement and analysis of textures, the prediction of polycrystal properties from measured textures and known single crystal properties, and the prediction of the development of texture and the ensuing anisotropic properties during elastic and plastic deformation. It also gives an overview of observed textures in metals, ceramics and rocks. There is a balance between theoretical concepts and experimental techniques. The book addresses several issues. Part I provides tools and describes methods to obtain quantitative data on textures of polycrystals. It should be of interest to experimentalists. Part II emphasizes modeling of deformation and incorporates theoretical concepts of mechanics. Part III illustrates successful applications in engineering and earth sciences.

Table of Contents

Contributors viii
Foreword xi
Introduction 1(9)
H. Mecking
PART ONE: DESCRIPTION OF TEXTURES AND ANISOTROPIES
Anisotropy and Symmetry
10(34)
U. F. Kocks
Structure and Properties
12(7)
Crystal Symmetries
19(9)
Sample Symmetry and Test Symmetry
28(4)
Anisotropy and Symmetry of Properties
32(12)
The Representation of Orientations and Textures
44(58)
U. F. Kocks
The Representation of Directions and Planes
46(11)
The Representation of Orientations
57(20)
The Representation of Textures
77(17)
Continuous Distributions and Series Representation
94(8)
Determination of the Orientation Distribution form Pole Figure Data
102(24)
J. S. Kallend
Relation between Pole Figures and the OD
104(3)
Harmonic Method
107(5)
Ghost
112(2)
Discrete or Direct Methods
114(5)
Operational Issues
119(2)
Recommendations
121(5)
Pole Figure Measurements with Diffraction Techniques
126(52)
H.-R. Wenk
X-ray Diffraction
129(20)
Special Procedures
149(10)
Neutron Diffraction
159(8)
Electron Diffraction
167(9)
Comparison of Methods
176(2)
Typical Textures in Metals
178(62)
A. D. Rollett
S. I. Wright
Deformation Textures in Face-Centered Cubic (fcc) Metals
181(10)
Deformation Textures in Body-Centered Cubic (bcc) Metals
191(12)
Deformation Textures in Hexagonal Close-Packed (hcp) Metals
203(6)
Deformation Textures in `Other' Materials
209(6)
Composites
215(3)
Transformation Textures
218(8)
Texture Inhomogeneities
226(6)
Solidification and Thin-Film Textures
232(6)
Summary
238(2)
Typical Textures in Geological Materials and Ceramics
240(42)
H.-R. Wenk
Geological Materials
242(20)
Bulk Ceramics
262(9)
Thin Films and Coatings
271(11)
PART TWO: ANISOTROPIC MECHANICAL PROPERTIES IN TEXTURED POLYCRYSTALS
Tensor Properties of Textured Polycrystals
282(44)
C. N. Tome
Grain Averages
284(1)
Crystal Elastic Properties
285(5)
Elastic and Thermal Properties of Polycrystals
290(18)
Visco-elastic Properties of Polycrystals
308(18)
Kinematics and Kinetics of Plasticity
326(64)
U. F. Kocks
Slip and Twinning in Single Crystals
328(37)
Grain Interaction and Polycrystal Plasticity
365(15)
Kinematics in Polycrystalline Bodies
380(10)
Simulation of Deformation Textures for Cubic Metals
390(30)
U. F. Kocks
Simulation Procedures
392(4)
Effect of Relaxing Constraints due to Grain Shape. Strain Dependence
396(8)
Effects of Changes in the Single-crystal Flow Potential
404(3)
General Discussion and Assessment
407(13)
Effects of Texture on Plasticity
420(46)
M. G. Stout
U. F. Kocks
Experimental Techniques and Phenomenology
422(17)
Yield-surface Shapes: Predictions and Experimental Results
439(19)
Stress/Strain Curves: Experimental Results and Analysis
458(5)
Summary and Assessment
463(3)
Self-Consistent Modeling of Heterogeneous Plasticity
466(46)
C. N. Tome
G. R. Canova†
Background
467(3)
Constitutive Relations for Grain and Polycrystal
470(2)
The Visco-plastic Inclusion Formalism
472(2)
Self-consistent Polycrystal Formulation
474(6)
Applications and Discussion
480(18)
Self-consistent Modeling of Two-phase Polycrystals
498(11)
Conclusions
509(3)
Finite-Element Modeling of Heterogeneous Plasticity
512(20)
P. R. Dawson
A. J. Beaudoin
Heterogeneous Systems
513(6)
Response of Polycrystal Aggregates
519(12)
Concluding Remarks
531(1)
PART THREE: SOME APPLICATIONS
Finite-Element Simulation of Metal Forming
532(28)
P. R. Dawason
A. J. Beaudoin
Introduction
533(4)
Rolling Simulations
537(11)
Sheet Forming Simulations
548(5)
Numerical Methodologies
553(5)
Concluding Remarks
558(2)
Plasticity Modeling in Minerals and Rocks
560(37)
H.-R. Wenk
Verification of Plasticity Models with Anisotropic Minerals
562(14)
Textures as a Diagnostic Tool in Naturally Deformed Rocks
576(11)
Physical Properties: Seismic Anisotropy in the Earth's Mantle
587(8)
Conclusions
595(2)
Appendix. The Elastic Inclusion Problem 597(7)
C. N. Tome
Notation and Index of Symbols 604(12)
Reference Index 616(52)
Subject Index 668

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