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Modeling and Computing for Geotechnical Engineering: An Introduction

Modeling and Computing for Geotechnical Engineering: An Introduction

Authors
Publisher Taylor & Francis Inc
Year 11/09/2018
Pages 492
Version hardback
Readership level College/higher education
Language English
ISBN 9781498771672
Categories Mathematical modelling
$243.99 (with VAT)
1 084.65 PLN / €232.55 / £201.87
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Book description

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 (R) codes and MAPLE (R) worksheets are available for those who have bought the book. Please contact the author at [email protected] or [email protected]. Kindly provide the invoice number and date of purchase.

Modeling and Computing for Geotechnical Engineering: An Introduction

Table of contents

Preface











Introduction











BASIC MECHANICS











Stresses and Strains





Introduction





Reference Coordinate System: Notations





Strains





Stresses





Mohr's Circle











Physical Laws and Governing Equations





Introduction





Idealizations





Total and Effective Stresses in Soils





Law of Conservation of Momentum: Equilibrium Equations





Law of Conservation of Mass











ELEMENTAL RESPONSE: CONSTITUTIVE MODELS





I. Introduction





II. Soil Behavior: From Experimental Results





III. Modeling of Soil Behavior











Elasticity





Elastic Constitutive Law











Plasticity Theory: Nonlinear Deformation of Soils





Introduction





Nonlinear Deformation of Soils





Elements of Plasticity





Yielding Criteria





Post-Yield Behavior





Perfect Plasticity





Hardening Plasticity





Loading/Unloading Criterion





Exercise Problems











Viscoelasticity and Viscoplasticity





Introduction





Viscoelastic Behavior: Fundamental Rheological Models





Viscoelastic Behavior: Composite Rheological Models





Formulation Methods in Viscoelasticity





1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading





Viscoplasticity





Exercise Problems





SYSTEM RESPONSE: METHODS OF ANALYSES





Analytical Methods





Introduction





1-D Flow through a Land Mass: Island Recharge Problem





Regional Groundwater Flow: Steady State Seepage





1-D Deformation of a Soil Column





1-D Consolidation of a Soil Column: Decoupled Flow and Deformation





Contaminant Transport





1-D Coupled Flow and Deformation





2-D Coupled Flow and Deformation





Exercise Problems











Semi-Analytical Methods





Introduction





Stress Analysis





Quasi-Static Analysis of Multi-Layer Porous Media under Waves





Exercise Problems











Finite Difference Method





Introduction





Finite Difference Approximation of Derivatives





FDM for Consolidation (Parabolic) Equation





FDM for Seepage (Laplace) Equation: 2-D Steady State Flow





FDM for Groundwater Flow: Aquifer Simulation





FDM for Consolidation of a Layered System





FDM for Laterally Loaded Piles: Soil-Structure Interaction





Error, Convergence and Stability





Exercise Problems











Finite Element Method





Introduction





Direct Stiffness Method





Galerkin Method of Weighted Residual





FEM: 1-D Problems





FEM: 2-D Problems





Basic Element Formulations





The Principle of Minimum Potential Energy





Isoparametric Element Formulation





Exercise Problems











Appendices





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





A.5 Semi-Analytical Solution of Wave-Induced Multi-Layer Porous Soil Response











References











Index

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