Deformation Geometry for Materials Scientists
International Series on Materials Science and Technology
- 1st Edition - December 28, 2013
- Latest edition
- Author: C. N. Reid
- Editor: W. S. Owen
- Language: English
Deformation Geometry for Materials Scientists presents the study of macroscopic geometry of deformation, particularly on crystalline solids. The book discusses a wide range of… Read more
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.
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
- Edition: 1
- Latest edition
- Published: December 28, 2013
- Language: English
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