An Introduction to Soil Dynamics

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.

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