Fundamentals of continuum mechanics of soils:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Springer
1991
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [575] - 595 |
| Beschreibung: | XXXXIII, 607 S. Ill., zahlr. graph. Darst. |
| ISBN: | 0387195467 3540195467 |
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| 245 | 1 | 0 | |a Fundamentals of continuum mechanics of soils |c Yehuda Klausner |
| 264 | 1 | |a London u.a. |b Springer |c 1991 | |
| 300 | |a XXXXIII, 607 S. |b Ill., zahlr. graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | IMAGE 1
CONTENTS
PREFACE V
LIST OF SYMBOLS XIX
1 INTRODUCTION 1.1 SCOPE 1
1.2 HISTORICAL NOTES 2
1.3 CLASSICAL SOIL MECHANICS VERSUS MECHANICS OF SOILS 4
1.4 THEORY VERSUS EXPERIMENT 6
1.5 LEVELS OF INVESTIGATION 8
1.6 THE CONTINUUM 10
1.7 HOMOGENEITY AND ISOTROPY 11
1.8 SOILS AS MULTI-PHASE MIXTURES 12
1.9 THE METHODOLOGY OF CONTINUUM MECHANICS 13
2 DEFORMATION AND STRAIN 2.1 DEFORMATION AND DISPLACEMENT 15
2.2 STRAIN 18
2.3 STRAIN MEASURES 19
2.4 INVARIANTS OF THE DEFORMATION TENSOR 22
2.5 SMALL DEFORMATIONS AND INFINITESIMAL STRAINS 24
2.6 THE STRAIN INVARIANTS 25
2.7 THE HENCKY MEASURE OF STRAIN 27
2.8 THE PROPERTIES OF THE HENCKY MEASURE 30
2.9 COMPATIBILITY EQUATIONS 32
3 KINEMATICS 3.1 MATERIAL DERIVATIVES 35
3.2 VELOCITY AND SPEED 35
3.3 ACCELERATION 37
3.4 MATERIAL DERIVATIVES OF DISPLACEMENT GRADIENTS 37
3.5 STRAIN RATES 39
IMAGE 2
3.6 THE FUNDAMENTAL THEOREM OF
DEFORMATIONS 40
3.7 RIGID DEFORMATION AND MOTION 41
3.8 HOMOGENEOUS STRAIN 42
3.9 PURE STRAIN 42
3.10 ISOCHORIC DEFORMATION AND MOTION 42
3.11 IRROTATIONAL MOTION 43
3.12 LAMINAR MOTION 44
3.13 SPHERICAL DEFORMATION 44
3.14 SIMPLE STRAINING 45
3.15 UNIAXIAL STRAINING 46
3.16 PLANE STRAIN 47
3.17 SIMPLE SHEAR 47
3.18 SIMPLE TORSION OF A CIRCULAR CYLINDER 50
3.19 TELESCOPING DEFORMATION 52
3.20 ROTATIONAL DEFORMATION 55
3.21 STEADY MOTION 57
4 BALANCE EQUATIONS FOR HOMOGENEOUS MEDIA 4.1 MASS 59
4.2 THE GENERAL BALANCE EQUATION 61
4.3 DENSITY BALANCE 63
4.4 FORCES ACTING ON DEFORMABLE BODIES 63
4.5 TRACTIONS AND BODY FORCES 64
4.6 BALANCE OF LINEAR MOMENTUM 68
4.7 BALANCE OF MOMENT OF MOMENTUM 69
4.8 THE PRESSURE TENSOR 70
4.9 THE STRESS TENSOR 71
4.10 THE STRESS INVARIANTS 72
5 ENERGETICS 5.1 ENERGY CONSIDERATIONS 75
5.2 KINETIC ENERGY 76
5.3 POTENTIAL ENERGY 78
5.4 INTERNAL ENERGY 79
5.5 THE TOTAL ENERGY BALANCE 80
5.6 HISTORICAL NOTES ON IRREVERSIBLE PROCESSES OF THE CONTINUUM 82
5.7 THE THERMODYNAMIC STATE 83
5.8 THERMODYNAMIC TENSIONS 84
5.9 ENTROPY AND TEMPERATURE 85
5.10 THE THERMODYNAMIC FUNCTIONS 88
5.11 THE PRODUCTION OF ENTROPY 89
5.12 PARTICULAR CASES OF THE THERMODYNAMIC STATE 92
IMAGE 3
6 MULTI-PHASE MIXTURES
6.1 EXTENSIVE AND INTENSIVE VARIABLES 97
6.2 DENSITY, VOLUME, MASS AND WEIGHT OF CONSTITUENTS 97
6.3 DIFFUSION VELOCITY AND BARYCENTRIC VELOCITY 99
6.4 THE GENERAL BALANCE OF MULTI-PHASE MIXTURES 100
6.5 MULTI-PHASE DENSITY BALANCE 101
6.6 MULTI-PHASE BALANCE OF LINEAR MOMENTUM 103
6.7 MULTI-PHASE BALANCE OF MOMENT OF MOMENTUM .. 105 6.8 MULTI-PHASE
BALANCE OF INTERNAL ENERGY 106
6.9 THE CALORIC EQUATIONS 108
6.10 THE PRODUCTION OF ENTROPY 110
7 CONSTITUTIVE EQUATIONS 7.1 SCOPE 113
7.2 PRINCIPLES OF FORMULATING CONSTITUTIVE EQUATIONS 115
7.3 THE RHEOLOGICAL EQUATION 116
7.4 LINEARITY AND NON-LINEARITY OF CONSTITUTIVE EQUATIONS 117
7.5 THE DUAL RHEOLOGICAL EQUATION 119
7.6 VISCOELASTIC MODELS 121
7.7 DUAL VOLUMETRIC STRESS-STRAIN VERSUS SHEAR STRESS-STRAIN
RELATIONSHIP 126
7.8 ENERGY CONSIDERATIONS IN VIEW OF THE DUAL EQUATIONS 129
7.9 THE ISOTROPIC STRESS-STRAIN RELATIONSHIP 131
7.10 DILATANCY 133
7.11 ISOTROPIC NON-LINEAR VERSUS LINEAR VISCOELASTICITY 135
8 THE SOIL 8.1 SINGLE-PHASE VERSUS MULTI-PHASE CONSIDERATIONS 137
8.2 SOIL CONSTITUENTS 138
8.3 THE WATER 139
8.4 WATER SOLUTIONS 143
8.5 VAPOR PRESSURE 145
8.6 THE AIR 148
8.7 COMPRESSIBILITY OF GASES 150
8.8 AIR-CONTAINING PORES 152
8.9 THE SOLID PARTICLES 155
8.10 SPECIFIC SURFACE 156
8.11 THE MINERALOGICAL STRUCTURE OF CLAYS 157
8.12 ELECTRIC CHARGES AND EXCHANGE CAPACITY 162
8.13 THE DIFFUSE DOUBLE LAYER 163
IMAGE 4
8.14 THE GOUY-CHAPMAN DOUBLE-LAYER THEORY
OF PLANAR SURFACES , 164
8.15 LIMITATIONS OF THE GOUY-CHAPMAN THEORY 168
8.16 TWO INTERACTING SURFACES IN ELECTROLYTE SOLUTION 170
8.17 THE WORK OF INTERACTING SURFACES 172
8.18 OSMOTIC PRESSURE AND CONSOLIDATION 178
8.19 PORE WATER PRESSURE 180
8.20 SWELLING PRESSURE 182
8.21 FACTORS AFFECTING THE BEHAVIOR OF CLAYS IN CONSOLIDATION 184
8.22 PROPERTIES OF CLAYS AS PREDICTED BY THE DIFFUSE DOUBLE LAYER 188
8.23 THE STRUCTURE OF CLAYS 189
8.24 INTERFACIAL FORCES 193
8.25 AIR-WATER INTERFACE 196
8.26 CAPILLARITY 202
8.27 SUCTION AND SHRINKAGE 203
9 SOIL AS A MULTI-PHASE MIXTURE 9.1 INTRODUCTION 211
9.2 VOLUME AND WEIGHT RELATIONS IN SOILS 211
9.3 DENSITY BALANCE 215
9.4 BALANCE OF LINEAR MOMENTUM 218
9.5 BALANCE OF THE INTERNAL ENERGY 223
10 FLOW IN SOILS 10.1 INTRODUCTION 227
10.2 FORCE FIELDS 228
10.3 FLOW POTENTIALS 232
10.4 REVIEW OF LINEAR AND NON-LINEAR, SATURATED AND UNSATURATED FLOW 236
10.5 DARCY S LAW 238
10.6 FLOW IN SATURATED SOILS 240
10.7 MODES OF SATURATED FLOW 242
10.8 THE COEFFICIENT OF PERMEABILITY 244
10.9 SEEPAGE IN SATURATED SOILS 248
10.10 UNSATURATED FLOW IN MULTI-PHASE FLUIDS 250
10.11 FLOW IN UNSATURATED SOILS 251
10.12 FLOW IN UNSATURATED NON-SWELLING SOILS 252
10.13 THE BOLTZMANN TRANSFORMATION SOLUTION 257
10.14 FLOW IN UNSATURATED SWELLING SOILS 259
11 VOLUMETRIC STRESS-STRAIN PHENOMENA 11.1 THE VOLUMETRIC STRESS-STRAIN
RELATIONSHIP 263
11.2 VOLUME CHANGES IN SOILS 264
IMAGE 5
11.3 CONSOLIDATION OF SATURATED SOILS 265
11.4 TERZAGHI S THEORY OF CONSOLIDATION 266
11.5 DISCUSSION OF TERZAGHI S THEORY OF CONSOLIDATION 270
11.6 THE CONSOLIDOMETER 274
11.7 THE CONSOLIDATION TEST 275
11.8 THE VOID RATIO-PRESSURE DEPENDENCE 278
11.9 THE PRESSURE AND STRAIN TENSORS IN UNIAXIAL CONSOLIDATION 281
11.10 THE TRIAXIAL TESTING DEVICE 285
11.11 THE SPHERICAL CONSOLIDATION 289
11.12 THE PRESSURE AND STRAIN TENSORS IN THE TRIAXIAL TEST 292
11.13 THE VOID RATIO-PRESSURE CURVE 299
11.14 NORMALLY CONSOLIDATED AND OVERCONSOLIDATED SOILS 305
11.15 CONSOLIDATION OF UNSATURATED SOILS 307
11.16 HYSTERESIS 312
11.17 PHENOMENOLOGICAL LINEAR VOLUMETRIC STRESS-STRAIN RELATIONSHIP 315
11.18 MODELING THE LINEAR VOLUMETRIC STRESS-STRAIN RELATIONSHIP 316
11.19 CONSTANT SPHERICAL PRESSURE 318
11.20 GENERAL SPHERICAL PRESSURE 320
11.21 THE VOLUMETRIC PLASTIC RESTRAINT 321
11.22 EFFECTIVE PRESSURE 322
11.23 TOTAL PRESSURE 327
11.24 THE INTERNAL ENERGY AND ENERGY RATE OF SPHERICAL PHENOMENA 330
11.25 THE EXCESS STORED SPECIFIC FREE ENERGY 332
11.26 THE EXCESS STORED SPECIFIC FREE ENERGY OF SOLIDS IN LINEAR
VISCOELASTIC MEDIA 334
11.27 ISOTROPIC FUNCTIONAL RELATIONSHIP APPLIED TO THE EXCESS STORED
SPECIFIC FREE ENERGY 338
11.28 THE EXCESS STORED SPECIFIC FREE ENERGY (PARTICULAR CASES) 340
12 SHEAR STRESS-STRAIN PHENOMENA 12.1 INTRODUCTION 343
12.2 DENSITY EFFECTS ON SHEAR STRESSES 344
12.3 THE SHEAR STRESS-STRAIN RELATIONSHIP 345
12.4 SHEAR VERSUS VOLUMETRIC STRESS-STRAIN RELATIONSHIP 346
12.5 DEVIATORIC TESTS 355
12.6 THE CONVENTIONAL TRIAXIAL SHEAR TEST 355
12.7 THE UNCONFINED COMPRESSION TEST 359
IMAGE 6
12.8 THE SIMPLE SHEAR TEST 362
12.9 THE DIRECT SHEAR TEST 366
12.10 THE TORSION TEST AND TESTING DEVICE 375
12.11 TORSION OF SOLID CYLINDRICAL SAMPLES 379
12.12 TORSION OF HOLLOW CYLINDRICAL SAMPLES 381
12.13 INTRODUCTION TO THE PURE DEVIATORIC TEST 389
12.14 THE PURE DEVIATORIC TEST AND ITS EQUIPMENT 393
12.15 STRESSES AND STRAINS IN THE PURE DEVIATORIC TEST 398
12.16 LINEAR DEVIATORIC STRESS-STRAIN RELATIONSHIP 404
12.17 THE LINEAR DEVIATORIC CONSTITUTIVE EQUATION FOR SOILS 405
12.18 ISOTROPIC STRAIN FUNCTIONS OF SHEAR CONSTITUTIVE EQUATIONS 409
12.19 ISOTROPIC STRESS FUNCTIONS OF SHEAR CONSTITUTIVE EQUATIONS 412
12.20 SPHERICAL COMPONENTS IN THE PURE DEVIATORIC TEST 413
12.21 PORE PRESSURES IN THE PURE DEVIATORIC TEST 415
12.22 THE EFFECT OF THE RATE OF LOADING IN THE PURE DEVIATORIC TEST 417
12.23 CRITICAL VOID RATIO AND PURE DEVIATORIC LOADING 417
12.24 THE FREE ENERGY AND ENERGY RATE OF DEVIATORIC PHENOMENA 423
12.25 THE DISBURSED SPECIFIC FREE ENERGY 425
12.26 THE DISBURSED FREE ENERGY APPLIED TO LINEAR STRESS-STRAIN
RELATIONS 425
12.27 THE DISBURSED FREE ENERGY IN THE PURE DEVIATORIC TEST OF LINEAR
VISCOELASTIC SOILS 426
12.28 THE DISBURSED FREE ENERGY IN PURE DEVIATORIC TESTS FOR ISOTROPIC
STRESS-STRAIN RELATIONS OF SOILS 429
12.29 NOTE ON GENERAL NON-LINEAR STRESS-STRAIN RELATIONS 433
12.30 CLOSING REMARKS ON SHEAR STRESSES 434
13 FAILURE 13.1 BRIEF REVIEW OF FAILURE THEORIES 437
13.2 FAILURE CRITERIA 438
13.3 THE DUAL SPECIFIC INTERNAL ENERGY 442
13.4 STORED AND DISBURSED SPECIFIC FREE ENERGY 444
IMAGE 7
13.5 SPECIFIC FREE ENERGY BALANCE OF THE ELASTIC
MEDIUM (A PARTICULAR CASE) 446
13.6 SPECIFIC FREE ENERGY BALANCE OF LINEAR VISCOELASTIC MEDIA 448
13.7 THE PURE DEVIATORIC TEST OF A LINEAR VISCOELASTIC MEDIUM 449
13.8 FREE ENERGY BALANCE WITH NON-LINEAR STRESS-STRAIN RELATIONS 453
13.9 THE PURE DEVIATORIC TEST WITH ISOTROPIC RELATIONS 454
13.10 APPRAISAL OF THE PRESENTED FAILURE CRITERIA 460
13.11 THE STUDY OF FAILURE THROUGH THE PURE DEVIATORIC TEST 462
13.12 DRAINED PURE DEVIATORIC SHEAR TESTS 474
13.13 CONSOLIDATED UNDRAINED PURE DEVIATORIC SHEAR TESTS 475
13.14 UNDRAINED PURE DEVIATORIC SHEAR TESTS 477
13.15 SLIP SURFACES 480
13.16 LATERAL EARTH PRESSURE 485
13.17 THE COEFFICIENT OF LATERAL EARTH PRESSURE 487
APPENDIX A TENSOR MATHEMATICS A .L INTRODUCTION 491
A.2 THE INDICIAL NOTATION 492
A.3 TRANSFORMATION OF COORDINATES 492
A.4 THE SUMMATION CONVENTION 493
A.5 THE KRONECKER DELTA 494
A. 6 CONTRAVARIANT AND COVARIANT TENSORS 495
A.7 SYMMETRIC AND SKEW-SYMMETRIC TENSORS 496
A.8 ADDITION, SUBTRACTION AND MULTIPLICATION 497
A.9 CONTRACTION 498
A.10 THE LINE ELEMENT 498
A.11 THE ANGLE BETWEEN VECTORS 500
A. 12 LOWERING AND RAISING INDICES 501
A.13 THE CHRISTOFFEL SYMBOLS 501
A. 14 COVARIANT DIFFERENTIATION OF TENSORS 503
A. 15 PRINCIPAL DIRECTIONS OF SECOND-ORDER TENSORS 505
A.16 DIFFERENTIAL OPERATORS 507
A. 17 ORTHOGONAL AND CARTESIAN COORDINATES 508
A. 18 INVARIANTS 511
A. 19 INTEGRALS OF TENSOR FIELDS 513
A.20 GEOMETRICAL REPRESENTATION OF SECOND-ORDER TENSORS 516
A.21 AXIALLY SYMMETRIC SECOND-ORDER TENSORS 523
IMAGE 8
APPENDIX B CYLINDRICAL COORDINATES
B.L INTRODUCTION 529
B.2 DEFINITION OF THE CYLINDRICAL COORDINATE SYSTEM 529
B.3 THE FUNDAMENTAL TENSOR 532
B.4 THE CHRISTOFFEL SYMBOLS 533
B.5 COVARIANT DERIVATIVES 534
B.6 BASIC OPERATIONS OF FIRST-ORDER TENSORS IN CYLINDRICAL COORDINATES
535
B. 7 ELEMENTS OF DIFFERENTIAL GEOMETRY 538
B.8 EQUATIONS OF KINEMATICS 540
B.9 THE STRAIN TENSOR 541
B.10 THE BALANCE EQUATIONS 543
APPENDIX C RHEOLOGICAL MODELING C.L INTRODUCTION 547
C.2 THE HOOKEAN ELASTIC ELEMENT 549
C.3 THE NEWTONIAN VISCOUS ELEMENT 549
C.4 COUPLING OF RHEOLOGICAL ELEMENTS 550
C.5 ST VENANT S ELEMENT OF PLASTIC RESTRAINT 551
C.6 THE PRANDTL BODY 552
C.7 THE MAXWELL BODY 553
C.8 THE KELVIN BODY 555
C.9 THE BURGERS BODY 557
C.10 THE RELATIONS BETWEEN EXCITATION AND RESPONSE 561
C.11 THE RELAXATION AND CREEP FUNCTIONS 563
C. 12 THE GENERAL RHEOLOGICAL MODELS 565
C. 13 ELASTIC AND DISSIPATIVE EXCITATIONS 569
C.14 THE PLASTIC RESTRAINT 570
REFERENCES 575
SUBJECT INDEX 597
|
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| id | DE-604.BV004627491 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:15:15Z |
| institution | BVB |
| isbn | 0387195467 3540195467 |
| language | English |
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| publishDateSort | 1991 |
| publisher | Springer |
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| spelling | Klausner, Yehûdā Verfasser aut Fundamentals of continuum mechanics of soils Yehuda Klausner London u.a. Springer 1991 XXXXIII, 607 S. Ill., zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [575] - 595 Bodemfysica gtt Soil mechanics Bodenmechanik (DE-588)4007385-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Bodenmechanik (DE-588)4007385-3 s Kontinuumsmechanik (DE-588)4032296-8 s DE-604 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002842555&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Klausner, Yehûdā Fundamentals of continuum mechanics of soils Bodemfysica gtt Soil mechanics Bodenmechanik (DE-588)4007385-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4007385-3 (DE-588)4032296-8 |
| title | Fundamentals of continuum mechanics of soils |
| title_auth | Fundamentals of continuum mechanics of soils |
| title_exact_search | Fundamentals of continuum mechanics of soils |
| title_full | Fundamentals of continuum mechanics of soils Yehuda Klausner |
| title_fullStr | Fundamentals of continuum mechanics of soils Yehuda Klausner |
| title_full_unstemmed | Fundamentals of continuum mechanics of soils Yehuda Klausner |
| title_short | Fundamentals of continuum mechanics of soils |
| title_sort | fundamentals of continuum mechanics of soils |
| topic | Bodemfysica gtt Soil mechanics Bodenmechanik (DE-588)4007385-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Bodemfysica Soil mechanics Bodenmechanik Kontinuumsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002842555&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT klausneryehuda fundamentalsofcontinuummechanicsofsoils |