Ebook: Stress and Strain: Basic Concepts of Continuum Mechanics for Geologists
Author: W. D. Means (auth.)
- Tags: Continuum Mechanics and Mechanics of Materials, Geology, Mechanics, Geotechnical Engineering &Applied Earth Sciences
- Year: 1976
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
This is an elementary book on stress and strain theory for geologists. It is written in the belief that a sound introduction to the mechanics of continu ous bodies is essential for students of structural geology and tectonics, just as a sound introduction to physical chemistry is necessary for students of petrology. This view is shared by most specialists in structural geology, but it is not yet reflected in typical geology curricula. Undergraduates are still traditionally given just a few lectures on mechanical fundamentals, and there is rarely any systematic lecturing on this subject at the graduate level. The result is that many students interested in structure and tectonics finish their formal train ing without being able to understand or contribute to modem literature on rocks as mechanical systems. The long-term remedy for this is to introduce courses in continuum mechanics and material behavior as routine parts of the undergraduate curriculum. These subjects are difficult, but no more so than optical mineralogy or thermo dynamics or other rigorous subjects customarily studied by undergraduates. The short-term remedy is to provide books suitable for independ ent study by those students and working geologists alike who wish to improve their understanding of mechanical topics relevant to geology. This book is intended to meet the short-term need with respect to stress and strain, two elementary yet challenging concepts of continuum mechanics.
Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Material Constitution of Rocks....Pages 2-6
Mechanical State....Pages 6-13
Change in Mechanical State....Pages 13-19
Mechanical Significance of Structure....Pages 20-33
Front Matter....Pages 35-35
Classes of Forces....Pages 36-42
Stress on a Plane....Pages 42-53
The Stress Ellipsoid, I....Pages 53-61
The Stress Ellipsoid, II....Pages 61-70
Mohr Circle for Stress....Pages 70-84
Tensor Components of Stress....Pages 85-99
Cauchy’s Formula, Transformation of Tensor Components....Pages 100-111
Stress Fields....Pages 111-122
Stress History....Pages 122-127
Front Matter....Pages 129-129
Distortion and Deformation, Measures of Distortion....Pages 130-138
The Strain Ellipsoid....Pages 139-150
Mohr Circle for Infinitesimal Strain....Pages 151-158
Mohr Circle for Finite Strain....Pages 159-167
Displacement and Deformation Gradients....Pages 168-180
Tensor Components of Infinitesimal Strain, I....Pages 181-188
Tensor Components of Infinitesimal Strain, II....Pages 188-196
Front Matter....Pages 129-129
Tensor Components of Finite Strain, I....Pages 196-203
Tensor Components of Finite Strain, II....Pages 203-215
Strain Fields....Pages 215-223
Strain History....Pages 224-237
Front Matter....Pages 239-239
Hookean Behavior....Pages 240-253
Newtonian Behavior....Pages 254-263
Energy Consumed in Deformation....Pages 263-273
Back Matter....Pages 275-339
Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Material Constitution of Rocks....Pages 2-6
Mechanical State....Pages 6-13
Change in Mechanical State....Pages 13-19
Mechanical Significance of Structure....Pages 20-33
Front Matter....Pages 35-35
Classes of Forces....Pages 36-42
Stress on a Plane....Pages 42-53
The Stress Ellipsoid, I....Pages 53-61
The Stress Ellipsoid, II....Pages 61-70
Mohr Circle for Stress....Pages 70-84
Tensor Components of Stress....Pages 85-99
Cauchy’s Formula, Transformation of Tensor Components....Pages 100-111
Stress Fields....Pages 111-122
Stress History....Pages 122-127
Front Matter....Pages 129-129
Distortion and Deformation, Measures of Distortion....Pages 130-138
The Strain Ellipsoid....Pages 139-150
Mohr Circle for Infinitesimal Strain....Pages 151-158
Mohr Circle for Finite Strain....Pages 159-167
Displacement and Deformation Gradients....Pages 168-180
Tensor Components of Infinitesimal Strain, I....Pages 181-188
Tensor Components of Infinitesimal Strain, II....Pages 188-196
Front Matter....Pages 129-129
Tensor Components of Finite Strain, I....Pages 196-203
Tensor Components of Finite Strain, II....Pages 203-215
Strain Fields....Pages 215-223
Strain History....Pages 224-237
Front Matter....Pages 239-239
Hookean Behavior....Pages 240-253
Newtonian Behavior....Pages 254-263
Energy Consumed in Deformation....Pages 263-273
Back Matter....Pages 275-339
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