An Introduction to Soil Dynamics (eBook)

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