Verfügbarkeit: An introduction to soil dynamics | Technische Universität München

An introduction to soil dynamics:

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Bibliographische Detailangaben
Beteilige Person:	Verruijt, Arnold 1940-2022 (VerfasserIn)
Format:	Medienkombination Buch
Sprache:	Englisch
Veröffentlicht:	Dordrecht [u.a.] Springer Netherland 2010
Schriftenreihe:	Theory and Applications of Transport in Porous Media 24
Schlagwörter:	Bodendynamik
Links:	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
Umfang:	XIV, 433 S. graph. Darst. 1 CD-ROM (12 cm)
ISBN:	9789048134403 9789048134410

Internformat

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Datensatz im Suchindex

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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.
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series2	Theory and Applications of Transport in Porous Media
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
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Inhaltsverzeichnis