An introduction to soil dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Kit Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer Netherland
2010
|
| Series: | Theory and Applications of Transport in Porous Media
24 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 433 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 9789048134403 9789048134410 |
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MARC
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| 245 | 1 | 0 | |a An introduction to soil dynamics |c Arnold Verruijt |
| 264 | 1 | |a Dordrecht [u.a.] |b Springer Netherland |c 2010 | |
| 300 | |a XIV, 433 S. |b graph. Darst. |e 1 CD-ROM (12 cm) | ||
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Record in the Search Index
| _version_ | 1804140663887888384 |
|---|---|
| adam_text | Contents
Vibrating
Systems ............................ 1
1.1 Single
Mass
System......................... 1
1.2
Characterization of Viscosity
.................... 2
1.3
Free Vibrations
............................ 3
Small Damping
....................... 4
Critical Damping
...................... 5
Large Damping
....................... 6
1.4
Forced Vibrations
.......................... 6
Dissipation of Work
..................... 9
1.5
Equivalent Spring and Damping
................... 10
1.6
Solution by Laplace Transform Method
............... 11
1.7
Hysteretic Damping
......................... 13
Waves in Piles
............................... 17
2.1
One-Dimensional Wave Equation
.................. 17
2.2
Solution by Laplace Transform Method
............... 18
2.2.1
Pile of Infinite Length
.................... 18
2.2.2
Pile of Finite Length
..................... 20
2.3
Separation of Variables
....................... 21
2.3.1
Shock Wave in Finite Pile
.................. 22
2.3.2
Periodic Load
........................ 24
2.4
Solution by Characteristics
..................... 26
2.5
Reflection and Transmission of Waves
............... 29
2.6
The Influence of Friction
...................... 34
Infinitely Long Pile
..................... 37
2.7
Numerical Solution
......................... 38
Example
........................... 39
2.8
A Simple Model for a Pile with Friction
.............. 42
Problems
............................... 43
x
Contents
3
Earthquakes in Soft Layers
....................... 45
3.1
Earthquake Parameters
........................ 46
3.2
Horizontal Vibrations
........................ 47
3.2.1
Unloaded Soil Layer
..................... 48
3.2.2
Soil Layer with Surface Load
................ 50
3.3
Shear Waves in a Gibson Material
.................. 52
3.4
Hysteretic Damping
......................... 54
3.4.1
Basic Equations
....................... 54
3.4.2
Unloaded Soil Layer
..................... 56
3.4.3
Soil Layer with Surface Load
................ 58
3.5
Numerical Solution
......................... 60
Basic Equations
....................... 60
Problems
............................... 63
4
Theory of Consolidation
......................... 65
4.1
Consolidation
............................ 65
4.1.1
Undrained Compression of a Porous Medium
........ 66
4.1.2
The Principle of Effective Stress
.............. 67
4.2
Conservation of Mass
........................ 68
4.3
Darcy sLaw
............................. 71
4.4
Equilibrium Equations
........................ 72
4.5
Drained Deformations
........................ ..75
4.6
Undrained Deformations
....................... 76
4.7
Cryer s Problem
........................... 78
Basic Equations
....................... 78
Boundary Conditions
.................... 79
Initial Response
....................... 80
Solution of the Problem
................... 80
Inverse Laplace Transformation
............... 81
Results
............................ 81
4.8
Uncoupled Consolidation
...................... 82
Constant
Isotropie
Total Stress
............... 83
Horizontally Confined Deformations
............ 84
4.9
Terzaghi s Problem
......................... 85
Solution
........................... 86
Settlement
.......................... 87
Problems
............................... 90
5
Dynamics of Porous Media
........................ 91
5.1
Basic Differential Equations
..................... 91
5.
1
.1
Conservation of Mass
.................... 91
5.1.2
Conservation of Momentum
................. 93
5.1.3
Constitutive Equations
.................... 94
5.2
Propagation of Plane Waves
..................... 95
5.3
Special Cases
............................ 96
5.3.1
Undrained Waves
...................... 96
Contents xi
5.3.2 Rigid Solid Matrix...................... 97
5.4
Analytical Solution .........................
99
5.4.1
Periodic Solution
...................... 99
5.4.2
Response to a Sinusoidal Load
............... 103
5.4.3
Approximation of the Solution
............... 104
5.4.4
Numerical Verification
.................... 107
5.4.5
Response to a Block Wave
.................. 108
5.5
Numerical Solution
......................... 109
5.6
Conclusion
..............................
Ill
6
Cylindrical Waves
............................113
6.1
Static Problems
...........................113
6.1.1
Basic Equations
....................... 113
6.1.2
General Solution
....................... 115
6.1.3
Examples
........................... 115
6.2
Dynamic Problems
.......................... 120
6.2.1
Sinusoidal Vibrations at the Cavity Boundary
........120
6.2.2
Equivalent Spring and Damping
...............125
6.3
Propagation of a Shock Wave
....................127
6.3.1
Solution by Laplace Transform
............... 127
6.3.2
Solution by Fourier Series
.................. 129
6.4
Radial Propagation of Shear Waves
................. 131
6.4.1
Sinusoidal Vibrations at the Cavity Boundary
........ 132
Problems
............................... 134
7
Spherical Waves
............................. 137
7.1
Static Problems
........................... 137
7.1.1
Basic Equations
....................... 137
7.1.2
General Solution
....................... 139
7.1.3
Examples
........................... 139
7.2
Dynamic Problems
.......................... 143
7.2.1
Propagation of Waves
.................... 144
7.2.2
Sinusoidal Vibrations at the Cavity Boundary
........ 145
7.2.3
Propagation of a Shock Wave
................ 149
Problems
............................... 154
8
ElastostaticsofaHalfSpace
....................... 157
8.1
Basic Equations of Elastostatics
................... 158
8.2
Boussinesq Problems
........................ 160
8.2.1
Concentrated Force
..................... 162
8.2.2
Uniform Load on a Circular Area
.............. 163
8.3
Fourier Transforms
......................... 164
8.3.1
Line Load
.......................... 165
8.3.2
Strip Load
.......................... 168
8.4
Axially Symmetric Problems
.................... 169
8.4.1
Uniform Load on a Circular Area
.............. 170
xii Contents
8.5
Mixed Boundary Value
Problems..................172
8.5.1
Rigid Circular Plate
.....................173
8.5.2
Penny Shaped Crack
.....................177
8.6
Confined Elastostatics
........................180
8.6.1
An Axially Symmetric Problem
...............181
8.6.2
A Plane Strain Problem
...................184
9
ElastodynamicsofaHalfSpace
.....................187
9.1
Basic Equations of Elastodynamics
................. 188
9.2
Compression Waves
......................... 189
9.3
ShearWaves
............................. 189
9.4
Rayleigh Waves
........................... 190
9.5
Love Waves
............................. 194
9.5.1
A Practical Implication
................... 198
10
Confined Elastodynamics
........................201
10.1
Line Load on Half Space
......................202
10.2
Line Pulse on Half Space
......................206
10.3
Strip Load on Half Space
......................207
10.3.1
Strip Pulse
..........................207
10.3.2
Inversion by
De
Hoop s Method
...............208
10.3.3
Constant Strip Load
.....................212
10.4
Point Load on Half Space
......................217
10.5
Periodic Load on a Half Space
....................219
Displacement of the Origin
.................222
Vibrating Point Load
.....................224
Problems
...............................224
11
Line Load on Elastic Half Space
....................225
11.1
Line Pulse
..............................225
11.1.1
Description of the Problem
................. 225
11.1.2
Solution by Integral Transform Method
........... 227
11.1.3
The Vertical Displacement
.................. 230
11.1.4
The Vertical Displacement of the Surface
.......... 244
11.1.5
The Horizontal Displacement
................ 249
11.1.6
The Horizontal Displacement of the Surface
........ 255
11.2
Constant Line Load
......................... 260
11.2.1 Isotropie
Stress
........................262
11.2.2
The Vertical Normal Stress
.................271
11.2.3
The Horizontal Normal Stress
................278
11.2.4
The Shear Stress
.......................284
Conclusion
..............................289
Problems
...............................290
12
Strip Load on Elastic Half Space
....................291
12.1
Strip Pulse
..............................292
Contents xiii
12.1.1 The Isotropie
Stress
..................... 293
12.1.2
The Vertical Normal Stress
................. 299
12.1.3
The Horizontal Normal Stress
................ 305
12.1.4
The Shear Stress
....................... 308
12.2
Strip Load
.............................. 312
12.2.1
The
Isotropie
Stress
..................... 313
12.2.2
The Vertical Normal Stress
................. 320
12.2.3
The Horizontal Normal Stress
................ 326
12.2.4
The Shear Stress
....................... 335
Conclusion
.............................. 342
Problems
............................... 342
13
Point Load on an Elastic Half Space
..................345
13.1
Problem
...............................345
13.1.1
Basic Equations
.......................345
13.2
Solution
...............................347
13.2.1
Vertical Displacement of the Surface
............349
13.2.2
The Pekeris Procedure
....................350
13.2.3
Numerical Evaluation of the Integrals
............355
13.2.4
Computer Program POINTLOAD
..............358
13.2.5
Results
............................359
14
Moving Loads on an Elastic Half Plane
.................361
14.1
Moving Wave
............................361
14.1.1
Basic Equations
.......................361
14.1.2
Solutions
...........................363
14.1.3
Solution
1 ..........................365
14.1.4
Solution
2..........................367
14.1.5
Completion of the Solution
.................369
14.1.6
First Boundary Condition
..................370
14.1.7
Second Boundary Condition
.................370
14.1.8
The Two Constants
.....................372
14.1.9
Final Solution
........................372
14.1.10The Displacement of the Origin
...............373
14.2
Moving Strip Load
..........................374
14.2.1
Vertical Displacement of the Surface
............375
14.2.2
Vertical Normal Stress
....................376
14.2.3 Isotropie
Stress
........................380
14.2.4
Horizontal Normal Stress
..................381
14.2.5
ShearStress
.........................382
15
Foundation Vibrations
..........................385
15.1
Foundation Response
........................385
Circular Footing
.......................386
15.2
Equivalent Spring and Damping
...................389
15.3
Soil Properties
............................391
xiv
Contents
15.4
Propagation of Vibrations
......................392
15.5
Design Criteria
............................392
Appendix A Integral Transforms
.......................395
A.
1
Laplace Transforms
.........................395
A.1.1 Definitions
..........................395
A.
1.2
Example
...........................396
A.
1.3
Heaviside s Expansion Theorem
..............397
A.2 Fourier Transforms
.........................398
A.2.1 Fourier Series
........................398
A.2.2 From Fourier Series to Fourier Integral
...........400
A.2.3 Application
.........................401
A.2.4 List of Fourier Transforms
..................403
A.3 Hankel Transforms
..........................406
A.3.1 Definitions
..........................406
A.3.2 List of Hankel Transforms
..................407
A.4
De
Hoop s Inversion Method
....................409
A.4.1 Introduction
.........................409
A.4.2 Example
...........................410
Appendix
В
Dual Integral Equations
.....................417
Appendix
С
Bateman-Pekeris Theorem
...................419
References
...................................423
Author Index
..................................427
Index
......................................431
CD-ROM
A CD-ROM accompanies this book containing programs for waves in piles,
propagation of earthquakes in soils, waves in a half space generated by a line load,
a point load, a strip load, or a moving load, and the propagation of a shock wave in
a saturated elastic porous material.
|
| any_adam_object | 1 |
| author | Verruijt, Arnold 1940-2022 |
| author_GND | (DE-588)131354493 |
| author_facet | Verruijt, Arnold 1940-2022 |
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| building | Verbundindex |
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| format | Kit Book |
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| id | DE-604.BV035747892 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:34Z |
| institution | BVB |
| isbn | 9789048134403 9789048134410 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018607987 |
| oclc_num | 634160900 |
| open_access_boolean | |
| owner | DE-29 DE-355 DE-BY-UBR DE-20 |
| owner_facet | DE-29 DE-355 DE-BY-UBR DE-20 |
| physical | XIV, 433 S. graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer Netherland |
| record_format | marc |
| series | Theory and Applications of Transport in Porous Media |
| series2 | Theory and Applications of Transport in Porous Media |
| spelling | Verruijt, Arnold 1940-2022 Verfasser (DE-588)131354493 aut An introduction to soil dynamics Arnold Verruijt Dordrecht [u.a.] Springer Netherland 2010 XIV, 433 S. graph. Darst. 1 CD-ROM (12 cm) Theory and Applications of Transport in Porous Media 24 Bodendynamik (DE-588)4007363-4 gnd rswk-swf Bodendynamik (DE-588)4007363-4 s DE-604 Theory and Applications of Transport in Porous Media 24 (DE-604)BV004198668 24 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018607987&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Verruijt, Arnold 1940-2022 An introduction to soil dynamics Theory and Applications of Transport in Porous Media Bodendynamik (DE-588)4007363-4 gnd |
| subject_GND | (DE-588)4007363-4 |
| title | An introduction to soil dynamics |
| title_auth | An introduction to soil dynamics |
| title_exact_search | An introduction to soil dynamics |
| title_full | An introduction to soil dynamics Arnold Verruijt |
| title_fullStr | An introduction to soil dynamics Arnold Verruijt |
| title_full_unstemmed | An introduction to soil dynamics Arnold Verruijt |
| title_short | An introduction to soil dynamics |
| title_sort | an introduction to soil dynamics |
| topic | Bodendynamik (DE-588)4007363-4 gnd |
| topic_facet | Bodendynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018607987&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004198668 |
| work_keys_str_mv | AT verruijtarnold anintroductiontosoildynamics |