Zhao Dynamic and Transient Infinite Elements

Theory and Geophysical, Geotechnical and Geoenvironmental Applications
1. Auflage 2009
ISBN: 978-3-642-00846-7
Verlag: Springer
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 259 Seiten

Reihe: Advances in Geophysical and Environmental Mechanics and Mathematics

This book presents state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many of scientific and engineering problems.

Autoren/Hrsg.

Zhao, Chongbin

Inhaltsverzeichnis

1;Preamble;6
2;Acknowledgements;9
3;Contents;10
4;Nomenclature;14
4.1;Subscripts;15
4.2;Superscripts;15
5;1 Introduction;16
6;2 Theory of Two-Dimensional Dynamic Infinite Elements for Simulating Wave Propagation Problems in Infinite Media;22
6.1;2.1 Formulation of Two-Dimensional Dynamic Infinite Elements and Wave Input Method;24
6.1.1;2.1.1 Formulation of Two-Dimensional Dynamic Infinite Elements;26
6.1.2;2.1.2 Wave Input Method for Simulating Wave Scattering Problems in Infinite Media;32
6.2;2.2 Incident P-wave and SV-wave Reflection Characteristics on a Fixed Boundary;34
6.3;2.3 Formulation of Generalized Stresses on the Wave Input Boundary;38
6.3.1;2.3.1 SV-wave Incidence;39
6.3.2;2.3.2 P-wave Incidence;41
6.4;2.4 Verification of the Proposed Computational Model for Simulating Wave Scattering Problems in Infinite Media;43
6.4.1;2.4.1 Wave Reflection on the Surface of an Elastic Half-Plane;45
6.4.2;2.4.2 Wave Scattering on the Surface of a Semi-circular Canyon;47
6.4.3;2.4.3 Wave Scattering on the Surface of an Embankment Dam;50
7;3 Application of Two-Dimensional Dynamic Infinite Elements: Simulation of Dynamic DamWaterFoundation Interaction Problems;53
7.1;3.1 Simulation of Dynamic Gravity DamWaterFoundation Interaction Systems;53
7.1.1;3.1.1 Computational Model of a Concrete Gravity Dam--Water--Foundation System Including Reservoir Bottom Sediments;54
7.1.1.1;3.1.1.1 Computational Simulation of the Water Region;56
7.1.1.2;3.1.1.2 Computational Simulation of the Solid Region;57
7.1.1.3;3.1.1.3 Determination of the Coupling Force between the Water and the Solid Regions;58
7.1.2;3.1.2 Effects of Reservoir Bottom Sediments on the Dynamic Response of Concrete Gravity Dams due to Unit Harmonic Wave Incidences;61
7.1.2.1;3.1.2.1 Effects of Sediment Thickness on the Dynamic Response of Concrete Gravity Dams due to Unit Harmonic Wave Incidences;63
7.1.2.2;3.1.2.2 Effects of Sediment Elastic Properties on the Dynamic Response of Concrete Gravity Dams due to Unit Harmonic Wave Incidences;66
7.1.2.3;3.1.2.3 Effects of Poisson's Ratios of the Sediment on the Dynamic Response of Concrete Gravity Dams due to Unit Harmonic Wave Incidences;68
7.1.2.4;3.1.2.4 Effects of the Sediment Damping Coefficients on the Dynamic Response of Concrete Gravity Dams due to Unit Harmonic Wave Incidences;70
7.1.3;3.1.3 Transient Response of Concrete Gravity Dams due to Earthquake Wave Incidences;70
7.1.3.1;3.1.3.1 Selection of an Earthquake for the Transient Response of Concrete Gravity Dams due to Earthquake Wave Incidences;73
7.1.3.2;3.1.3.2 Transient Seismic Response of a Concrete Gravity Dam--Water--Foundation System Including Reservoir Bottom Sediment Effects;74
7.2;3.2 Simulation of Dynamic Embankment DamWaterFoundation Interaction Systems;79
7.2.1;3.2.1 Effects of Impervious Member Types on the Dynamic Response of an Embankment Dam--Foundation System;83
7.2.2;3.2.2 Effects of Reservoir Bottom Sediments on the Dynamic Response of an Embankment Dam--Foundation System;90
8;4 Application of Two-Dimensional Dynamic Infinite Elements: Simulation of Wave Scattering Effects under Different Canyon Topographical and Geological Conditions;99
8.1;4.1 Simulation of Infinite Domain of a Canyon;101
8.2;4.2 Effects of Canyon Topographical Conditions on the Ground Motions due to Harmonic Wave Incidences;109
8.2.1;4.2.1 Free-Field Motions along V-shaped Canyons due to Harmonic Wave Incidences;109
8.2.2;4.2.2 Free-Field Motions along Trapezoidal Canyons due to Harmonic Wave Incidences;113
8.3;4.3 Effects of Canyon Geological Conditions on Ground Motions due to Harmonic Wave Incidences;115
8.4;4.4 Effects of Canyon Topographical Conditions on Ground Motions due to Seismic Wave Incidences;118
8.4.1;4.4.1 Free-Field Motions along V-shaped Canyons due to Seismic Wave Incidences;120
8.4.2;4.4.2 Free-Field Motions along Trapezoidal Canyons due to Seismic Wave Incidences;123
8.5;4.5 Effects of Canyon Geological Conditions on Ground Motions due to Seismic Wave Incidences;129
9;5 Theory of Three-Dimensional Dynamic Infinite Elements for Simulating Wave Propagation Problems in Infinite Media;133
9.1;5.1 Coupled Computational Model for Simulating Three-Dimensional Wave Propagation Problems in Infinite Foundations of Structures;135
9.2;5.2 Formulation of Three-Dimensional Dynamic Infinite Elements;137
9.2.1;5.2.1 Mapping Functions of Three-Dimensional Dynamic Infinite Elements;138
9.2.2;5.2.2 Displacement Shape Functions of Three-Dimensional Dynamic Infinite Elements;139
9.2.3;5.2.3 Mass and Stiffness Matrices of Three-Dimensional Dynamic Infinite Elements;145
9.3;5.3 Verification of Three-Dimensional Dynamic Infinite Elements;148
10;6 Application of Three-Dimensional Dynamic Infinite Elements: Simulation of Dynamic StructureFoundation Interaction Problems;154
10.1;6.1 Numerical Simulation of Plate Foundation Vibration on a Visco-elastic Half-Space;154
10.1.1;6.1.1 Dynamic Response of a Square Plate on a Visco-elastic Half-Space under Harmonic Loading;155
10.1.1.1;6.1.1.1 Effects of Material Damping on the Complex Compliance of the Plate;157
10.1.1.2;6.1.1.2 Effects of Material Damping on the Distribution of Wave Motion in the near Field;160
10.1.2;6.1.2 Dynamic Response of a Square Plate on a Layered Visco-elastic Half-Space under Harmonic Loading;162
10.2;6.2 Numerical Simulation of the Dynamic Response of a Framed StructureRaft FoundationUnderlying Soil/Rock System;169
10.2.1;6.2.1 Numerical Simulation of a Three-Dimensional Framed Structure--Raft Foundation--Underlying Soil/Rock System;173
10.2.1.1;6.2.1.1 Numerical Simulation of a Three-Dimensional Framed Structure;174
10.2.1.2;6.2.1.2 Numerical Simulation of a Raft Foundation;174
10.2.1.3;6.2.1.3 Numerical Simulation of an Infinite Soil/Rock Medium;175
10.2.1.4;6.2.1.4 Coupling Equation of the Framed Structure--Raft Foundation--Underlying Soil/Rock System;175
10.2.2;6.2.2 Effects of Raft Foundation Flexibility on the Dynamic Response of a Three-Dimensional Framed Structure;176
10.2.3;6.2.3 Effects of Underlying Soil/Rock on the Dynamic Response of a Three-Dimensional Framed Structure;180
11;7 Theory of Transient Infinite Elements for Simulating Pore-Fluid Flow and Heat Transfer in Porous Media of Infinite Domains;186
11.1;7.1 Fundamental Theory of Transient Infinite Elements for Simulating Pore-Fluid Flow Problems in Fluid-Saturated Porous Media of Infinite Domains;187
11.1.1;7.1.1 Derivation of the Hydraulic Head Distribution Functions of Transient Infinite Elements;187
11.1.2;7.1.2 Derivation of the Property Matrices of Two-Dimensional Transient Infinite Elements for Simulating Pore-Fluid Flow Problems;193
11.1.2.1;7.1.2.1 The First Category of Two-Dimensional Transient Infinite Elements;194
11.1.2.2;7.1.2.2 The Second Category of Two-Dimensional Transient Infinite Elements;196
11.1.2.3;7.1.2.3 The Third Category of Two-Dimensional Transient Infinite Elements;197
11.1.2.4;7.1.2.4 The Fourth Category of Two-Dimensional Transient Infinite Elements;198
11.1.2.5;7.1.2.5 Two-Dimensional Transient Bi-infinite Elements;199
11.2;7.2 Fundamental Theory of Transient Infinite Elements for Simulating Heat Transfer Problems in Fluid-Saturated Porous Media of Infinite Domains;201
11.2.1;7.2.1 Derivation of the Heat Transfer Functions of Transient Infinite Elements;201
11.2.2;7.2.2 Derivation of the Property Matrices of Two-Dimensional Transient Infinite Elements for Simulating Heat Transfer Problems;203
11.3;7.3 Verification of Transient Infinite Elements for Simulating Pore-Fluid Flow and Heat Transfer Problems in Fluid-Saturated Porous Media of Infinite Domains;207
11.3.1;7.3.1 Verification of Transient Infinite Elements for Simulating a Pore-Fluid Flow Problem in the Fluid-Saturated Porous Medium of an Infinite Domain;207
11.3.2;7.3.2 Verification of Transient Infinite Elements for Simulating a Heat Transfer Problem in the Fluid-Saturated Porous Medium of an Infinite Domain;208
12;8 Theory and Application of Transient Infinite Elements for Simulating Contaminant Transport Problems in Fractured Porous Media of Infinite Domains;213
12.1;8.1 Coupled Computational Method of Finite Elements and Transient Infinite Elements for Simulating Transient Contaminant Transport Problems in Fractured Porous Media of Infinite Domains;214
12.1.1;8.1.1 Upwind Finite Element Formulation of the Problem;215
12.1.1.1;8.1.1.1 Spatial Discretization of the Problem;216
12.1.1.2;8.1.1.2 Temporal Discretization of the Problem;218
12.1.1.3;8.1.1.3 Weighting and Shape Functions of the Upwind Finite Element;219
12.1.2;8.1.2 Fundamental Formulas of Mapped Transient Infinite Elements for Simulating Transient Contaminant Transport Problems;222
12.1.3;8.1.3 Verification of the Coupled Computational Method of Upwind Finite Elements and Transient Infinite Elements;229
12.2;8.2 Parametric Study of Transient Contaminant Transport Problems in Fractured Porous Media of Infinite Domains;232
12.2.1;8.2.1 Effects of the Leakage between a Porous Block and a Fissured Network on Contaminant Concentration Distributions in the Fractured Porous Medium;233
12.2.2;8.2.2 Effects of Medium Porosities on Contaminant Concentration Distributions in the Porous Block and Fissured Network;240
12.2.3;8.2.3 Effects of Pore-Fluid Advection on Contaminant Concentration Distributions in the Porous Block and Fissured Network;244
12.2.4;8.2.4 Effects of Solute Dispersion on Contaminant Concentration Distributions in the Porous Block and Fissured Network;249
13;Summary Statements;255
14;References;258
15;Index;266