Introduction / Chapter 1: |
Summary of contents / 1: |
Wave propagation in a half-space / Chapter 2: |
Field equations in an elastic domain / 2: |
State of stress / 2.1: |
Surface forces / 2.2.1: |
State of strain / 2.2: |
Constitutive relationship / 2.3: |
General field equation for elastodynamics / 2.4: |
Displacements in an infinite medium / 3: |
Plane waves / 3.1: |
Half-space solution / 4: |
Incident SH-waves / 4.1: |
Incident P-wave / 4.2: |
Incident SV-wave / 4.3: |
Incident Rayleigh wave / 4.4: |
Displacements in three-dimensional problems / 5: |
Two-dimensional scalar problem: SH-waves / Chapter 3: |
Governing equations |
Boundary integral formulation |
Method of images |
The boundary element method |
Internal points |
Scattering by valleys |
Fictitious eigenfrequencies / 6: |
Damping / 7: |
Time domain formulation / 8: |
Numerical considerations and comparison with other results / 9: |
Combination of boundary elements and finite elements / 10: |
Finite element formulation / 10.1: |
Matching / 10.2: |
Comparison with the boundary element solution / 10.3: |
References |
Two-dimensional elastodynamics: P-, SV- and Rayleigh waves / Chapter 4: |
Fundamental solution |
Singular integrals / 3.2: |
Boundary conditions over the free traction surface |
Results |
Discretization over the half-space / 8.1: |
Comparison with other solutions / 8.2: |
Three-dimensional scattering of seismic waves from topographical structures / Chapter 5: |
C-matrix |
Scattering by three-dimensional valleys / 3.3: |
Hemispherical canyon / 7.1: |
Canyons of arbitrary shape / 7.2: |
Hemispherical valleys / 7.3: |
Scattering by mountains |
Type I topography |
Type II topography |
Observed amplification in the Mexico City Valley / Chapter 6: |
The earthquakes |
Characteristics of the valley |
Observed motion in Mexico City |
Accelerometric array |
Observed motion from the epicentre to Mexico City |
Strong ground motion at hill-zone sites |
Strong ground motion at lake-zone sites |
Duration of motion / 4.4.1: |
Spectral ratios between hill and lake zones |
Sites with T[subscript s]<0.5 s / 5.1: |
Sites with 0.5
|
Sites with 1.0
|
Sites with 1.8
|
Sites with T[subscript s] around 3.0 s / 5.5: |
Sites with T[subscript s]>3.8 s / 5.6: |
Sites at the centre of the Tlahuac lake / 5.7: |
Sites near the lakebed zone borders / 5.8: |
Non linear behaviour |
Observed dominant periods |
Relative amplification maps |
Preliminary modelling of the Mexico City Valley / Chapter 7: |
One-dimensional model |
Two-dimensional modelling using the BEM |
Incident P-, SV- and Rayleigh waves |
Three-dimensional modelling using the BEM |
Concluding remarks / Chapter 8: |
Introduction / Chapter 1: |
Summary of contents / 1: |
Wave propagation in a half-space / Chapter 2: |
Field equations in an elastic domain / 2: |
State of stress / 2.1: |
Surface forces / 2.2.1: |