Modeling and Computing for Geotechnical Engineering : an Introduction.

Modeling and computing is becoming an essential part of the analysis and design of an engineered system. This is also true of'geotechnical systems', such as soil foundations, earth dams and other soil-structure systems. The general goal of modeling and computing is to predict and understand the behaviour of the system subjected to a variety of possible conditions/scenarios (with respect to both external stimuli and system parameters), which provides the basis for a rational design of the system. The essence of this is to predict the response of the system to a set of external forces. The modelling and computing essentially involve the following three phases: (a) Idealization of the actual physical problem, (b) Formulation of a mathematical model represented by a set of equations governing the response of the system, and (c) Solution of the governing equations (often requiring numerical methods) and graphical representation of the numerical results. This book will introduce these phases.MATLAB® codes and MAPLE® worksheets are available for those who have bought the book. Please contact the author at mbulker@itu.edu.tr or canulker@gmail.com. Kindly provide the invoice number and date of purchase. Cover Title Copyrights Dedication Acknowledgements Preface Contents 1. Introduction PART I Basic Mechanics 2. Stresses and Strains 2.1 Introduction 2.2 Reference Coordinate System: Notations 2.3 Strains 2.4 Stresses 2.5 Mohr's Circle 3. Physical Laws and Governing Equations 3.1 Introduction 3.2 Idealizations 3.3 Total and Effective Stresses in Soils 3.4 Law of Conservation of Momentum: Equilibrium Equations 3.5 Law of Conservation of Mass PART II Elemental Response: Constitutive Models I. Introduction II. Soil Behavior: From Experimental Results. III. Modeling of Soil Behavior4. Elasticity 4.1 Elastic Constitutive Law 5. Plasticity Theory: Nonlinear Deformation of Soils 5.1 Introduction 5.2 Nonlinear Deformation of Soils 5.3 Elements of Plasticity 5.4 Yielding Criteria 5.5 Post-Yield Behavior 5.6 Perfect Plasticity 5.7 Hardening Plasticity 5.8 Loading/Unloading Criterion 5.9 Exercise Problems 6. Viscoelasticity and Viscoplasticity 6.1 Introduction 6.2 Viscoelastic Behavior: Fundamental Rheological Models 6.3 Viscoelastic Behavior: Composite Rheological Models 6.4 Formulation Methods in Viscoelasticity. 6.5 1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading6.6 Viscoplasticity 6.7 Exercise Problems PART III System Response: Methods of Analyses 7. Analytical Methods 7.1 Introduction 7.2 1-D Flow through a Land Mass: Island Recharge Problem 7.3 Regional Groundwater Flow: Steady State Seepage 7.4 1-D Deformation of a Soil Column 7.5 1-D Consolidation of a Soil Column: Decoupled Flow and Deformation 7.6 Contaminant Transport 7.7 1-D Coupled Flow and Deformation 7.8 2-D Coupled Flow and Deformation 7.9 Exercise Problems 8. Semi-Analytical Methods. 8.1 Introduction8.2 Stress Analysis 8.3 Quasi-Static Analysis of Multi-Layer Porous Media under Waves 8.4 Exercise Problems 9. Finite Difference Method 9.1 Introduction 9.2 Finite Difference Approximation of Derivatives 9.3 FDM for Consolidation (Parabolic) Equation 9.4 FDM for Seepage (Laplace) Equation: 2-D Steady State Flow 9.5 FDM for Groundwater Flow: Aquifer Simulation 9.6 FDM for Consolidation of a Layered System 9.7 FDM for Laterally Loaded Piles: Soil-Structure Interaction 9.8 Error, Convergence and Stability 9.9 Exercise Problems 10. Finite Element Method. 10.1 Introduction10.2 Direct Stiffness Method 10.3 Galerkin Method of Weighted Residual 10.4 FEM: 1-D Problems 10.5 FEM: 2-D Problems 10.6 Basic Element Formulations 10.7 The Principle of Minimum Potential Energy 10.8 Isoparametric Element Formulation 10.9 Exercise Problems Appendix A.1 Fourier Series and Fourier Transform A.2 Laplace Transform A.3 MATLAB Commands: FFT, IFFT, FFTSHIFT A.4 Solution Flow Chart for the Analysis of a Viscoelastic Material A.5 Analytical Solution of Wave-Induced Porous Soil Layer Response. Modeling And Computing Is Becoming An Essential Part Of The Analysis And Design Of An Engineered System. This Is Also True Geotechnical Systems, Such As Soil-foundations, Earth Dams And Other Soil Structure Systems. The General Goal Of ‘modeling And Computing’ Is To Predict And Understand The Behaviour Of The System Subjected To A Variety Of Possible Conditions/scenarios (with Respect To Both External Stimuli And System Parameters), Which Provides The Basis For A Rational Design Of The System. The Essence Of This Is To Predict The Response Of The System To A Set Of External Forces. The Modelling And Computing Essentially Involve The Following Three Phases: (a) Idealization Of The Actual Physical Problem, (b) Formulation Of A Mathematical Model Represented By A Set Of Equations Governing The Response Of The System, And (c) Solution Of The Governing Equations (often Requiring Numerical Methods) And Graphical Representation Of The Numerical Results. This Book Will Introduce These Phases. Matlab® Codes And Maple® Worksheets Are Available For Those Who Have Bought The Book. Please Contact The Author At Mbulker@itu.edu.tr Or Canulker@gmail.com. Kindly Provide The Invoice Number And Date Of Purchase. This book introduces three phases involved in the modeling and computing of engineered systems: Idealization of the actual physical problem, Formulation of a mathematical model represented by a set of equations governing the response of the system, and Solution of the governing equations and graphical representation of the numerical results.