
Fundamentals of Strength : Principles, Experiment, and Applications of an Internal State Variable Constitutive Formulation.
Title:
Fundamentals of Strength : Principles, Experiment, and Applications of an Internal State Variable Constitutive Formulation.
Author:
Follansbee, Paul S.
ISBN:
9781118808351
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (519 pages)
Contents:
Cover -- Title page -- Copyright page -- Contents -- Foreword -- Preface -- Acknowledgments -- How to Use This BOOK -- List of Symbols -- CHAPTER 1: Measuring the Strength of Metals -- 1.1 How Is Strength Measured? -- 1.2 The Tensile Test -- 1.3 Stress in a Test Specimen -- 1.4 Strain in a Test Specimen -- 1.5 The Elastic Stress versus Strain Curve -- 1.6 The Elastic Modulus -- 1.7 Lateral Strains and Poisson's Ratio -- 1.8 Defining Strength -- 1.9 Stress-Strain Curve -- 1.10 The True Stress-True Strain Conversion -- 1.11 Example Tension Tests -- 1.12 Accounting for Strain Measurement Errors -- 1.13 Formation of a Neck in a Tensile Specimen -- 1.14 Strain Rate -- 1.15 Measuring Strength: Summary -- Exercises -- References -- CHAPTER 2: Structure and Bonding -- 2.1 Forces and Resultant Energies Associated with an Ionic Bond -- 2.2 Elastic Straining and the Force versus Separation Diagram -- 2.3 Crystal Structure -- 2.4 Plastic Deformation -- 2.5 Dislocations -- 2.6 Summary: Structure and Bonding -- Exercises -- References -- CHAPTER 3: Contributions to Strength -- 3.1 Strength of a Single Crystal -- 3.2 The Peierls Stress -- 3.3 The Importance of Available Slip Systems and Geometry of HCP Metals -- 3.4 Contributions from Grain Boundaries -- 3.5 Contributions from Impurity Atoms -- 3.6 Contributions from Stored Dislocations -- 3.7 Contributions from Precipitates -- 3.8 Introduction to Strengthening: Summary -- Exercises -- References -- CHAPTER 4: Dislocation-Obstacle Interactions -- 4.1 A Simple Dislocation-Obstacle Profile -- 4.2 Thermal Energy: Boltzmann's Equation -- 4.3 The Implication of 0 K -- 4.4 Addition of a Second Obstacle to a Slip Plane -- 4.5 Kinetics -- 4.6 Analysis of Experimental Data -- 4.7 Multiple Obstacles -- 4.8 Kinetics of Hardening -- 4.9 Summary -- Exercises -- References.
CHAPTER 5: A Constitutive Law for Metal Deformation -- 5.1 Constitutive Laws in Engineering Design and Materials Processing -- 5.2 Simple Hardening Models -- 5.3 State Variables -- 5.4 Defining a State Variable in Metal Deformation -- 5.5 The Mechanical Threshold Stress Model -- 5.5.1 Example Material and Constitutive Law -- 5.6 Common Deviations from Model Behavior -- 5.7 Summary: Introduction to Constitutive Modeling -- Exercises -- References -- CHAPTER 6: Further MTS Model Developments -- 6.1 Removing the Temperature Dependence of the Shear Modulus -- 6.2 Introducing a More Descriptive Obstacle Profile -- 6.3 Dealing With Multiple Obstacles -- 6.4 Defining the Activation Volume in the Presence of Multiple Obstacle Populations -- 6.5 The Evolution Equation -- 6.6 Adiabatic Deformation -- 6.7 Summary: Further MTS Model Developments -- Exercises -- References -- CHAPTER 7: Data Analysis: Deriving MTS Model Parameters -- 7.1 A Hypothetical Alloy -- 7.2 Pure Fosium -- 7.3 Hardening in Pure Fosium -- 7.4 Yield Stress Kinetics in Unstrained FoLLyalloy -- 7.5 Hardening in FoLLyalloy -- 7.6 Evaluating the Stored Dislocation-Obstacle Population -- 7.7 Deriving the Evolution Equation -- 7.8 The Constitutive Law for FoLLyalloy -- 7.9 Data Analysis: Summary -- Exercises -- CHAPTER 8: Application to Copper and Nickel -- 8.1 Pure Copper -- 8.2 Follansbee and Kocks Experiments -- 8.3 Temperature-Dependent Stress-Strain Curves -- 8.4 Eleiche and Campbell Measurements in Torsion -- 8.5 Analysis of Deformation in Nickel -- 8.6 Predicted Stress-Strain Curves in Nickel and Comparison with Experiment -- 8.7 Application to Shock-Deformed Nickel -- 8.8 Deformation in Nickel plus Carbon Alloys -- 8.9 Monel 400: Analysis of Grain-Size Dependence -- 8.10 Copper-Aluminum Alloys -- 8.11 Summary -- Exercises -- References -- CHAPTER 9: Application to BCC Metals and Alloys.
9.1 Pure BCC Metals -- 9.2 Comparison with Campbell and Ferguson Measurements -- 9.3 Trends in the Activation Volume for Pure BCC Metals -- 9.4 Structure Evolution in BCC Pure Metals and Alloys -- 9.5 Analysis of the Constitutive Behavior of a Fictitious BCC Alloy: UfKonel -- 9.6 Analysis of the Constitutive Behavior of AISI 1018 Steel -- 9.7 Analysis of the Constitutive Behavior of Polycrystalline Vanadium -- 9.8 Deformation Twinning in Vanadium -- 9.9 A Model for Dynamic Strain Aging in Vanadium -- 9.10 Analysis of Deformation Behavior of Polycrystalline Niobium -- 9.11 Summary -- Exercises -- References -- CHAPTER 10: Application to HCP Metals and Alloys -- 10.1 Pure Zinc -- 10.2 Kinetics of Yield in Pure Cadmium -- 10.3 Structure Evolution in Pure Cadmium -- 10.4 Pure Magnesium -- 10.5 Magnesium Alloy AZ31 -- 10.6 Pure Zirconium -- 10.7 Structure Evolution in Zirconium -- 10.8 Analysis of Deformation in Irradiated Zircaloy-2 -- 10.9 Analysis of Deformation Behavior of Polycrystalline Titanium -- 10.10 Analysis of Deformation Behavior of Titanium Alloy Ti-6Al-4V -- 10.11 Summary -- Exercises -- References -- CHAPTER 11: Application to Austenitic Stainless Steels -- 11.1 Variation of Yield Stress with Temperature and Strain Rate in Annealed Materials -- 11.2 Nitrogen in Austenitic Stainless Steels -- 11.3 The Hammond and Sikka Study OF 316 -- 11.4 Modeling the Stress-Strain Curve -- 11.5 Dynamic Strain Aging in Austenitic Stainless Steels -- 11.6 Application of the Model to Irradiation-Damaged Material -- 11.7 Summary -- Exercises -- References -- CHAPTER 12: Application to the Strength of Heavily Deformed Metals -- 12.1 Complications Introduced at Large Deformations -- 12.2 Stress Dependence of the Normalized Activation Energy goε -- 12.3 Addition of Stage IV Hardening to the Evolution Law -- 12.4 Grain Refinement.
12.5 Application to Large-Strain ECAP Processing of Copper -- 12.6 An Alternative Method to Assess ECAP-Induced Strengthening -- 12.7 A Large-Strain Constitutive Description of Nickel -- 12.8 Application to Large-Strain ECAP Processing of Nickel -- 12.9 Application to Large-Strain ECAP Processing of Austenitic Stainless Steel -- 12.10 Analysis of Fine-Grain Processed Tungsten -- 12.11 Summary -- Exercises -- References -- CHAPTER 13: Summary and Status of Model Development -- 13.1 Analyzing the Temperature-Dependent Yield Stress -- 13.2 Stress Dependence of the Normalized Activation Energy goε -- 13.3 Evolution -- 13.4 Temperature and Strain-Rate Dependence of Evolution -- 13.5 The Effects of Deformation Twinning -- 13.6 The Signature of Dynamic Strain Aging -- 13.7 Adding Insight to Complex Processing Routes -- 13.8 Temperature Limits -- 13.9 Summary -- References -- Index.
Abstract:
Offers data, examples, and applications supporting the use of the mechanical threshold stress (MTS) model Written by Paul S. Follansbee, an international authority in the field, this book explores the underlying theory, mechanistic basis, and implementation of the mechanical threshold stress (MTS) model. Readers are introduced to such key topics as mechanical testing, crystal structure, thermodynamics, dislocation motion, dislocation-obstacle interactions, hardening through dislocation accumulation, and deformation kinetics. The models described in this book support the emerging theme of Integrated Computational Materials Engineering (ICME) by offering a foundation for the bridge between length scales characterizing the mesoscale (mechanistic) and the macroscopic. Fundamentals of Strength begins with a chapter that introduces various approaches to measuring the strength of metals. Next, it covers: Structure and bonding Contributions to strength Dislocation-obstacle interactions Constitutive law for metal deformation Further MTS model developments Data analysis: deriving MTS model parameters The next group of chapters examines the application of the MTS model to copper and nickel, BCC metals and alloys, HCP metals and alloys, austenitic stainless steels, and heavily deformed metals. The final chapter offers suggestions for the continued development and application of the MTS model. To help readers fully understand the application of the MTS model, the author presents two fictional materials along with extensive data sets. In addition, end-of-chapter exercises give readers the opportunity to apply the models themselves using a variety of data sets. Appropriate for both students and materials researchers, Fundamentals of Strength goes beyond theory, offering readers a model that is fully supported with examples and applications.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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