An Introduction to Soil Dynamics

This book presents the basic principles of soil dynamics, and a variety of solutions of practical interest for geotechnical engineering, geophysics and earthquake engineering. Emphasis is on analytical solutions, often including the full derivation of the solution, and giving the main parts of computer programs that can be used to calculate numerical data. Reference is also made to a website from which complete computer programs can be downloaded. Soil behaviour is usually assumed to be linear elastic, but in many cases the effect of viscous damping or hysteretic damping, due to plastic deformations, is also considered. Special features are: the analysis of wave propagation in saturated compressible porous media, approximate analysis of the generation of Rayleigh waves, the analysis of the response of soil layers to earthquakes in the deep rock, with a theoretical foundation of such problems by the propagation of Love waves, and the solution of such basic problems as the response of an elastic half space to point loads, line loads, strip loads and moving loads.

• Includes detailed derivations of solutions - Includes listings of main parts of computer programs - Computer programs are available from the website http://geo.verruijt.net
  • Includes dynamics of porous media

Audience: Students and staff in soil dynamics at civil engineering, geophysics and earthquake engineering departments.

Klappentext

to Soil Dynamics Arnold Verruijt Delft University of Technology, Delft, The Netherlands Arnold Verruijt Delft University of Technology 2628 CN Delft Netherlands a.verruijt@verruijt.net 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. Computer programs are also available from the website http://geo.verruijt.net ISBN 978-90-481-3440-3 e-ISBN 978-90-481-3441-0 DOI 10.1007/978-90-481-3441-0 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009940507 © Springer Science+Business Media B.V. 2010 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, micro?lming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied speci?cally for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Preface This book gives the material for an introductory course on Soil Dynamics, as given for about 10 years at the Delft University of Technology for students of civil en- neering, and updated continuously since 1994.

Inhalt

1. Vibrating Systems 1.1 Single mass system 1.2 Characterization of viscosity 1.3 Free Vibrations 1.4 Forced Vibrations 1.5 Equivalent spring and damping 1.6 Solution by Laplace transform method 1.7 Hysteretic damping 2. Waves in Piles 2.1 One-dimensional wave equation 2.2 Solution by Laplace transform method 2.3 Separation of variables 2.4 Solution by characteristics 2.5 Reflection and transmission 2.6 The influence of friction 2.7 Numerical solution 2.8 Modeling a pile with friction 3. Earthquakes in Soft Layers 3.1 Earthquake parameters 3.2 Horizontal vibrations 3.3 Shear waves in a Gibson material 3.4 Hysteretic damping 3.5 Numerical solution 4. Theory of Consolidation 4.1 Consolidation 4.2 Conservation of mass 4.3 Darcy's law 4.4 Equilibrium equations 4.5 Drained deformations 4.6 Un-drained deformations 4.7 Cryer's problem 4.8 Uncoupled consolidation 4.9 Terzaghi's problem 5. Plane Waves in Porous Media 5.1 Dynamics of porous media 5.2 The basic differential equations 5.3 Special cases 5.4 Analytical solution 5.5 Numerical solution 5.6 Conclusion 6. Cylindrical Waves 6.1 Static problems 6.2 Dynamic problems 6.3 Propagation of a shock wave 6.4 Radial propagation of shear waves 7. Spherical Waves 7.1 Static problems 7.2 Dynamic problems 7.3 Propagation of a shock wave 8. Elastostatics of a Half Space 8.1 Basic equations of elastostatics 8.2 Boussinesq problems 8.3 Fourier transforms 8.4 Axially symmetric problems 8.5 Mixed boundary value problems 8.6 Confined elastostatics 9. Elastodynamics of a Half Space 9.1 Basic equations of elastodynamics 9.2Compression waves 9.3 Shear waves 9.4 Rayleigh waves 9.5 Love waves 10. Confined Elastodynamics 10.1 Line load on half space 10.2 Line pulse on half space 10.3 Point load on half space 10.4 Periodic load on half space 11. Line Load on Elastic Half Space 11.1 Line pulse 11.2 Constant line load 12. Strip Load on Elastic Half Space 12.1 The strip pulse problem 12.2 The strip load problem 13. Point Load on Elastic Half Space 13.1 Problem 13.2 Solution 14. Moving Loads on Elastic Half Space 14.1 Moving wave 14.2 Moving strip load 15. Foundation Vibrations 15.1 Foundation response 15.2 Equivalent spring and damping 15.3 Soil properties 15.4 Propagation of vibrations 15.5 Design criteria Appendix A. Integral Transforms A.1 Laplace transforms A.2 Fourier transforms A.3 Hankel transforms A.4 De Hoop's inversion method Appendix B. Dual Integral Equations Appendix C. Bateman-Pekeris Theorem References Author Index Index CD-ROM included 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