Statics and Kinematics of Granular Materials

R. M. Nedderman

doi:10.1017/CBO9780511600043

This book outlines the basic science underlying the prediction of stress and velocity distributions in granular materials. It takes the form of a textbook suitable for postgraduate courses, research workers and for use in design offices. The nature of a rigid-plastic material is discussed and a comparison is made between the Coulomb and conical (extended Von Mises) models. The methods of measuring material properties are described and an interpretation of the experimental results is considered in the context of the Critical State Theory. The book will be an invaluable text for all those working with or doing research into granular materials. Exercises and solutions are provided which will be particularly useful for the student.

"...provides a very good treatment of this important subject. Concepts and ideas are clearly developed with an emphasis on connections between experiments and theories." Anthony Rosato, Applied Mechanics Review

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-ix
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Notation
pp x-xvi
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1 - Introduction
pp 1-6
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2 - The analysis of stress and strain rate
pp 7-20
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3 - The ideal Coulomb material
pp 21-46
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4 - Coulomb's method of wedges
pp 47-83
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5 - The method of differential slices
pp 84-126
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6 - Determination of physical properties
pp 127-162
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7 - Exact stress analyses
pp 163-242
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8 - Velocity distributions
pp 243-276
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9 - The Conical yield function
pp 277-291
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10 - The prediction of mass flow rate
pp 292-328
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Set problems – chapters 2–10
pp 329-337
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Appendices
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1 - Resolution of forces and stresses by matrix or tensorial methods
pp 338-340
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2 - Euler's equation and rates of strain
pp 341-343
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3 - Mohr's circle for rate of strain
pp 344-345
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References and bibliography
pp 346-348
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Index
pp 349-352
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Statics and Kinematics of Granular Materials

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Contents

Frontmatter
pp i-vi

Contents
pp vii-ix

Notation
pp x-xvi

1 - Introduction
pp 1-6

2 - The analysis of stress and strain rate
pp 7-20

3 - The ideal Coulomb material
pp 21-46

4 - Coulomb's method of wedges
pp 47-83

5 - The method of differential slices
pp 84-126

6 - Determination of physical properties
pp 127-162

7 - Exact stress analyses
pp 163-242

8 - Velocity distributions
pp 243-276

9 - The Conical yield function
pp 277-291

10 - The prediction of mass flow rate
pp 292-328

Set problems – chapters 2–10
pp 329-337

Appendices

1 - Resolution of forces and stresses by matrix or tensorial methods
pp 338-340

2 - Euler's equation and rates of strain
pp 341-343

3 - Mohr's circle for rate of strain
pp 344-345

References and bibliography
pp 346-348

Index
pp 349-352

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Statics and Kinematics of Granular Materials

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