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 "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(R) codes and MAPLE(R) 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. 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. Modeling and computing are 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 behavior 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. 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 Title Page 2 Copyright 3 Dedications 4 Acknowledgements 8 Preface 10 Contents 12 1. Introduction 16 PART I—Basic Mechanics 20 2. Stresses and Strains 22 3. Physical Laws and Governing Equations 67 PART II—Elemental Response: Constitutive Models 78 4. Elasticity 84 5. Plasticity Theory: Nonlinear Deformation of Soils 95 6. Viscoelasticity and Viscoplasticity 158 PART III—System Response: Methods of Analyses 236 7. Analytical Methods 238 8. Semi-Analytical Methods 298 9. Finite Difference Method 334 10. Finite Element Method 381 Appendix 485 References 502 Index 505 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.