Strength Analysis in Geomechanics (eBook)

Foundations of Engineering Mechanics 3
Foreword 6
Preface 8
Contents 12
1 Introduction: Main Ideas 16
1.1 Role of Engineering Geological Investigations 16
1.2 Scope and Aim of the Subject: Short History of Soil Mechanics 16
1.3 Use of the Continuum Mechanics Methods 17
1.4 Main Properties of Soils 19
1.5 Description of Properties of Soils and Other Materials by Methods of Mechanics 28
2 Main Equations in Media Mechanics 45
2.1 Stresses in Body 45
2.2 Displacements and Strains 47
2.3 Rheological Equations 48
2.4 Solution Methods of Mechanical Problems 54
3 Some Elastic Solutions 60
3.1 Longitudinal Shear 60
3.2 Plane Deformation 65
3.3 Axisymmetric Problem and its Generalization 85
4 Elastic-Plastic and Ultimate State of Perfect Plastic Bodies 97
4.1 Anti-Plane Deformation 97
4.2 Plane Deformation 100
4.3 Axisymmetric Problem 129
4.4 Intermediary Conclusion 136
5 Ultimate State of Structures at Small Non- Linear Strains 137
5.1 Fracture Near Edges of Cracks and Punch at Anti- Plane Deformation 137
5.2 Plane Deformation 140
5.3 Axisymmetric Problem 161
6 Ultimate State of Structures at Finite Strains 173
6.1 Use of Hoff’s Method 173
6.2 Mixed Fracture at Unsteady Creep 178
Conclusion 196
References 198
Appendices 201
A Appendix 201
Computation of p* for Brittle Materials which do not Resist Tension 201
B Appendix 203
C Appendix 204
D Appendix 205
E Appendix 206
F Appendix 207
Computation of Stresses at Anti-Plane Deformation of Massif with Crack 207
G Appendix 209
Some Computations on Bending of Wedge 209
H Appendix 212
Bases of Applied Creep Theory 212
I Appendix 213
Inelastic Zones Near Crack in Massif at Tension 213
J Appendix 215
Inelastic Zones Near Crack Ends at Transversal Shear 215
K Appendix 217
Flow of Material in Cone 217
L Appendix 219
The Use of Hypotheses of Creep 219
M Appendix 221
Use of the Coulomb’s Law for Description of Some Elastic- Plastic Systems at Cycling Loading 221
N Appendix 226
Investigation of Gas Penetration in Polymers and Rubbers 226
Curriculum Vitae 230
Index 232
Foundations of Engineering Mechanics 236