NUMERICS IN GEOTECHNICS AND STRUCTURES
Book : NUMERICS IN GEOTECHNICS AND STRUCTURES
CONTENTS
Preface
Acknowledgments
GETTING STARTED
Hardware and software requirements
Installation of ZSOIL
Main menu of ZSOIL
An introduction to nonlinear analysis
Getting started
Analysis of a superficial foundation
Stability of a vertical cut
TRUSS STRUCTURES
Construction of stiffness matrix of single truss
Assembly of elemental stiffness
Solution procedures for linear systems
Using ZSOIL to analyze truss structures
Data Preparation
Running analysis and exploiting results
Imposed displacements
Large displacements
Collapse load analysis
Dynamics
Damping
Time integration
Hilber-Hughes-Taylor algorithm
Example
LINEAR AND NONLINEAR CONTINUA
Linear statics
Invariants
Basic elasto-plastic models
Mohr-Coulomb and Tresca yield criteria
Drucker-Prager and von Mises criteria
Dilatancy and flow rule
ZSOIL data
Finite elements
Newton-Raphson procedure
Convergence
Geotechnical aspects
Initial state
Locking in quasi incompressible media
Spurious pressure oscillations in consolidation
SINGLE PHASE SOLID CONTINUA
Bearing capacity of a superficial foundation
Data preparation
Results
Incompressibility, dilatancy and locking
Validation
Slope stability: vertical cut
c-phi reduction and other algorithms for safety evaluation
Data preparation
Results
Refined Safety Factor Evaluation
Stability analysis preceded by initial state analysis
Validation
Initial state
Algorithm
Data preparation
Results
Initial state analysis
Time dependent/Driven load analysis
Safety analysis
UNDERGROUND FLOW
A two-dimensional steady state flow problem
Theory
Material data
Boundary conditions
Pressure and flow boundary conditions
Seepage
Fluid head
An example of transient flow
Preprocessing: geometry and boundary conditions
Drivers
Material data
Results
TWO-PHASE MEDIA
One dimensional Terzaghi consolidation test
Data preparation
Theory
Stability of vertical cut with water table as SINGLE PHASE
analysis
Total stress analysis
Data Preparation
Geometry/boundary conditions/initial conditions
Materials
Results
Effective stress analysis
Data Preparation
Geometry/boundary conditions/initial conditions
Materials
Results
Stability of vertical cut with flow as TWO-PHASE analysis
Stability of vertical cut with permanent flow
Data Preparation
Geometry/boundary conditions/initial conditions
Materials
Results
Stability of vertical cut with transient flow, uncoupled case
Data preparation
Geometry/boundary conditions/initial conditions
Materials
Results
Stability of vertical cut with transient flow, coupled case
Data preparation
Materials
Results
Validation test: Superficial foundation on a consolidating saturated material Drivers
Geometry, boundary conditions and load
Materials
Results
Instability due to rain
Drivers
Geometry, boundary conditions and load
Results
TUNNEL EXCAVATION - CASE STUDY
Tunnel excavation in urban environment, acounting for initial
Problem definition
Drivers
Geometry
Geometrical input pre-processing
Macro model subdomains
Meshing
Structural elements, boundary conditions and loads
Excavation steps, Existence functions, Load functions
Existence functions
Convergence and Load functions
Materials and initial state data
Analysis
Tunnel excavation in urban environment with hydromechanical aspects
Data preparation
Drivers
Boundary conditions for two-phase problem
Materials
Results
Advanced post-processing options
Creation of sections and computation of inflow into tunnel
Computing bending moments from continuum elements
D TUTORIAL: EXCAVATION WITH RETAINING WALL
Problem Description
Data Preparation
Project creation
Pre-processing
Analysis and drivers definition
Material definition
Existence function definition
Loading function definition
Calculation
Post-processing
D TUTORIAL: CONCRETE BOX CONTAINER
Problem Description
Data preparation
Project creation
Pre-processing
Macro-model: creation of the right of the
Macro-model: creation of the container
Macro-model: creation of the left part of the model
Macro-model: creation of subsoil below the container
Macro model: setting existence function for continuum D subdomains
Macro model: creation of interface elements between container and fill
Macro model: water inside the container
Creating the FE mesh and setting boundary conditions
Definition of analysis and driver types
Definition of material
Definition of existence function
Definition of loading function
Computing
Post-processing
Updating initial project assumptions
Updating the geometry of excavation
Updating material properties
Dividing excavation stage into two substeps
Introducing shotcrete wall
Introducing nail elements
STRUCTURES
Trusses, Anchors, Cables
Truss data under plane strain
Beams
Geometry
Adjusting beams to tunnel shapes
Offsetting stiffness of beams to match real tunnel axis
Hinges
Cross-section geometry and materials
Membranes
Materials
Illustration
Plates
Elastic simply supported uniformly loaded square plate
Geometry
Results
Postprocessing
Elasto-plastic square plate
Problem definition
Geometry and load
Material
Results
Shells
A simple example: stairs
Hemispherical shell
Problem definition
Geometry, load and boundary conditions
Results
Hinges
A Solution procedures for linear systems
B Dilatancy
C Shell orientation and sign of resultants
References
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