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 ......Page 1 Title ......Page 2 Copyrights ......Page 3 Dedication ......Page 4 Acknowledgements......Page 8 Preface......Page 10 Contents......Page 12 1. Introduction......Page 16 PART I Basic Mechanics......Page 20 2.1 Introduction......Page 22 2.2 Reference Coordinate System: Notations......Page 23 2.3 Strains......Page 25 2.4 Stresses......Page 35 2.5 Mohr’s Circle......Page 56 3.1 Introduction......Page 67 3.3 Total and Effective Stresses in Soils......Page 68 3.4 Law of Conservation of Momentum: Equilibrium Equations......Page 70 3.5 Law of Conservation of Mass......Page 73 PART II Elemental Response: Constitutive Models......Page 78 I. Introduction......Page 80 II. Soil Behavior: From Experimental Results......Page 81 III. Modeling of Soil Behavior......Page 83 4.1 Elastic Constitutive Law......Page 84 5.1 Introduction......Page 95 5.2 Nonlinear Deformation of Soils......Page 96 5.4 Yielding Criteria......Page 97 5.5 Post-Yield Behavior......Page 102 5.6 Perfect Plasticity......Page 105 5.7 Hardening Plasticity......Page 114 5.8 Loading/Unloading Criterion......Page 133 5.9 Exercise Problems......Page 136 6.1 Introduction......Page 158 6.2 Viscoelastic Behavior: Fundamental Rheological Models......Page 160 6.3 Viscoelastic Behavior: Composite Rheological Models......Page 161 6.4 Formulation Methods in Viscoelasticity......Page 167 6.5 1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading......Page 173 6.6 Viscoplasticity......Page 187 6.7 Exercise Problems......Page 195 PART III System Response: Methods of Analyses......Page 236 7.2 1-D Flow through a Land Mass: Island Recharge Problem......Page 238 7.3 Regional Groundwater Flow: Steady State Seepage......Page 241 7.4 1-D Deformation of a Soil Column......Page 247 7.5 1-D Consolidation of a Soil Column: Decoupled Flow and Deformation......Page 249 7.6 Contaminant Transport......Page 256 7.7 1-D Coupled Flow and Deformation......Page 264 7.8 2-D Coupled Flow and Deformation......Page 269 7.9 Exercise Problems......Page 278 8.2 Stress Analysis......Page 298 8.3 Quasi-Static Analysis of Multi-Layer Porous Media under Waves......Page 314 8.4 Exercise Problems......Page 322 9.2 Finite Difference Approximation of Derivatives......Page 334 9.3 FDM for Consolidation (Parabolic) Equation......Page 341 9.4 FDM for Seepage (Laplace) Equation: 2-D Steady State Flow......Page 350 9.5 FDM for Groundwater Flow: Aquifer Simulation......Page 354 9.6 FDM for Consolidation of a Layered System......Page 356 9.7 FDM for Laterally Loaded Piles: Soil-Structure Interaction......Page 366 9.8 Error, Convergence and Stability......Page 369 9.9 Exercise Problems......Page 374 10.2 Direct Stiffness Method......Page 381 10.3 Galerkin Method of Weighted Residual......Page 387 10.4 FEM: 1-D Problems......Page 394 10.5 FEM: 2-D Problems......Page 419 10.6 Basic Element Formulations......Page 427 10.7 The Principle of Minimum Potential Energy......Page 442 10.8 Isoparametric Element Formulation......Page 444 10.9 Exercise Problems......Page 452 A.1 Fourier Series and Fourier Transform......Page 485 A.2 Laplace Transform......Page 490 A.3 MATLAB Commands: FFT, IFFT, FFTSHIFT......Page 491 A.4 Solution Flow Chart for the Analysis of a Viscoelastic Material......Page 492 A.5 Analytical Solution of Wave-Induced Porous Soil Layer Response......Page 493 A.6 Semi-Analytical Solution of Wave-Induced Multi-Layer Porous Soil Response......Page 497 References......Page 502 Index......Page 505 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.