Robert F. Cook

Particle Strengths (eBook, PDF)

Extreme Value Distributions in Fracture

• Format: PDF

Produktbeschreibung

Particle Strengths A holistic and straightforward analysis framework for understanding particle strength distributions In Particle Strengths: Extreme Value Distributions in Fracture, distinguished researcher Dr. Robert F. Cook delivers a thorough exploration of the science and related engineering of fracture strength distributions of single particles tested in diametral compression. In the book, the author explains particle strengths in the broader context of material strengths to permit readers to design with particles in systems in which mechanical properties are crucial to application, manufacturing, and handling. Particle Strengths compiles published data on particle strengths into a common format that includes over 140 materials systems and over 270 published strength distributions derived from over 13000 individual particle strength measurements. It offers physically consistent descriptions of strength behavior, including the strength threshold, using simple polynomial distribution functions that can easily be implemented. Readers will also find: * A thorough introduction to particles and particle loading, including discussions of particle failure and human activity * Comprehensive explorations of stochastic scaling of particle strength distributions, including concave and sigmoidal stochastic distributions * Practical discussions of agglomerate particle strengths, including those relevant to pharmaceuticals, foods, and catalysts * Detailed treatments of applications and scaling of particle strengths, including particle crushing energy and grinding particle reliability Perfect for materials scientists and engineers, mining and construction engineers, and environmental scientists, Particle Strengths: Extreme Value Distributions in Fracture will also benefit anthropologists, zoologists, pharmaceutical scientists, biomaterials scientists and engineers, and graduate students studying materials science, and chemical, mechanical, and biomedical engineering.

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Produktdetails

• Verlag: Jossey-Bass
• Seitenzahl: 416
• Erscheinungstermin: 8. Februar 2023
• Englisch
• ISBN-13: 9781119850946
• Artikelnr.: 67434550

Autorenporträt

Robert F. Cook, PhD, is a former NIST Fellow at the National Institute of Standards and Technology (NIST), Gaithersburg, Maryland, USA, and an independent scientist. He was a 2008 recipient of a U.S. Department of Commerce Silver Medal for Scientific/Engineering Achievement and is the author of over 200 peer-reviewed publications and 16 patents.

Inhaltsangabe

Preface xi

Abbreviations and Symbols xiii

1 Introduction to Particles and Particle Loading 1

1.1 Particle Failure and Human Activity 1

1.1.1 Particles as Structural Components 1

1.1.2 Particle Loading 4

1.1.3 Particles in Application 12

1.2 Particle Shapes and Sizes 14

1.3 Summary: Particle Loading and Shape 23

References 24

2 Particles in Diametral Compression 29

2.1 Extensive and Intensive Mechanical Properties 29

2.2 Particle Behavior in Diametral Compression 33

2.2.1 Force-Displacement Observations 33

2.2.2 Force-Displacement Models 38

2.3 Stress Analyses of Diametral Compression 48

2.4 Impact Loading 60

2.5 Strength Observations 63

2.6 Strength Empirical Distribution Function 65

2.7 Outline of Particle Strengths 68

2.7.1 Individual Topics 68

2.7.2 Overall Themes 70

References 72

3 Flaw Populations 81

3.1 Flaw Sizes and Strengths 81

3.2 Populations of Flaws and Strengths 84

3.2.1 Population Definitions 84

3.2.2 Population Examples 86

3.3 Samples of Flaws and Strengths 92

3.3.1 Sample Definitions 92

3.3.2 Sample Examples 96

3.4 Heavy-Tailed and Light-Tailed Populations 103

3.5 Discussion and Summary 106

References 110

4 Strength Distributions 113

4.1 Brittle Fracture Strengths 113

4.1.1 Samples of Components 113

4.1.2 Analysis of Sample Strength Distributions 114

4.2 Sample Strength Distributions 116

4.2.1 Sample Analysis Verification 116

4.2.2 Sample Examples 119

4.3 Discussion and Summary 125

References 130

5 Survey of Extended Component Strength Distributions 133

5.1 Introduction 133

5.2 Materials and Loading Survey 134

5.2.1 Glass, Bending and Pressure Loading 134

5.2.2 Alumina, Bending Loading 135

5.2.3 Silicon Nitride, Bending Loading 136

5.2.4 Porcelain, Bending Loading 138

5.2.5 Silicon, Bending and Tension Loading 140

5.2.6 Fibers, Tensile Loading 141

5.2.7 Shells, Flexure Loading 142

5.2.8 Columns, Compressive Loading 144

5.2.9 Materials Survey Summary 144

5.3 Size Effects 148

5.3.1 Stochastic 148

5.3.2 Deterministic 153

5.3.3 Size Effect Summary 159

5.4 Discussion and Summary 159

References 163

6 Survey of Particle Strength Distributions 167

6.1 Introduction 167

6.2 Materials Comparisons 169

6.2.1 Alumina 169

6.2.2 Quartz 171

6.2.3 Limestone 173

6.2.4 Rock 174

6.2.5 Threshold perturbations 175

6.3 Size Comparisons 177

6.3.1 Small Particles 177

6.3.2 Medium Particles 180

6.3.3 Large Particles 181

6.4 Summary and Discussion 182

References 186

7 Stochastic Scaling of Particle Strength Distributions 189

7.1 Introduction 189

7.2 Concave Stochastic Distributions 193

7.2.1 Alumina 193

7.2.2 Limestone 194

7.2.3 Coral 197

7.2.4 Quartz and Quartzite 198

7.2.5 Basalt 201

7.3 Sigmoidal Stochastic Distributions 202

7.3.1 Fertilizer 202

7.3.2 Glass 207

7.4 Summary and Discussion 208

References 213

8 Case Study: Strength Evolution in Ceramic Particles 215

8.1 Introduction 215

8.2