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E-grāmata: Modeling and Computing for Geotechnical Engineering: An Introduction

(Istanbul Technical University, Turkey), (North Carolina State University, Raleigh, USA)
  • Formāts: 506 pages
  • Izdošanas datums: 03-Sep-2018
  • Izdevniecība: CRC Press Inc
  • Valoda: eng
  • ISBN-13: 9780429760211
  • Formāts - PDF+DRM
  • Cena: 57,60 €*
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  • Formāts: 506 pages
  • Izdošanas datums: 03-Sep-2018
  • Izdevniecība: CRC Press Inc
  • Valoda: eng
  • ISBN-13: 9780429760211

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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.
Acknowledgements vii
Preface ix
1 Introduction
1(6)
PART I Basic Mechanics
2 Stresses and Strains
7(45)
2.1 Introduction
7(1)
2.2 Reference Coordinate System: Notations
8(2)
2.3 Strains
10(10)
2.4 Stresses
20(21)
2.5 Mohr's Circle
41(11)
3 Physical Laws and Governing Equations
52(13)
3.1 Introduction
52(1)
3.2 Idealizations
53(1)
3.3 Total and Effective Stresses in Soils
53(2)
3.4 Law of Conservation of Momentum: Equilibrium Equations
55(3)
3.5 Law of Conservation of Mass
58(7)
PART II Elemental Response: Constitutive Models
I Introduction
65(1)
II Soil Behavior: From Experimental Results
66(2)
III Modeling of Soil Behavior
68(1)
4 Elasticity
69(11)
4.1 Elastic Constitutive Law
69(11)
5 Plasticity Theory: Nonlinear Deformation of Soils
80(63)
5.1 Introduction
80(1)
5.2 Nonlinear Deformation of Soils
81(1)
5.3 Elements of Plasticity
82(1)
5.4 Yielding Criteria
82(5)
5.5 Post-Yield Behavior
87(3)
5.6 Perfect Plasticity
90(9)
5.7 Hardening Plasticity
99(19)
5.8 Loading/Unloading Criterion
118(3)
5.9 Exercise Problems
121(22)
6 Viscoelasticity and Viscoplasticity
143(80)
6.1 Introduction
143(2)
6.2 Viscoelastic Behavior: Fundamental Rheological Models
145(1)
6.3 Viscoelastic Behavior: Composite Rheological Models
146(6)
6.4 Formulation Methods in Viscoelasticity
152(6)
6.5 1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading
158(14)
6.6 Viscoplasticity
172(8)
6.7 Exercise Problems
180(43)
PART III System Response: Methods of Analyses
7 Analytical Methods
223(60)
7.1 Introduction
223(1)
7.2 1-D Flow through a Land Mass: Island Recharge Problem
223(3)
7.3 Regional Groundwater Flow: Steady State Seepage
226(6)
7.4 1-D Deformation of a Soil Column
232(2)
7.5 1-D Consolidation of a Soil Column: Decoupled Flow and Deformation
234(7)
7.6 Contaminant Transport
241(8)
7.7 1-D Coupled Flow and Deformation
249(5)
7.8 2-D Coupled Flow and Deformation
254(9)
7.9 Exercise Problems
263(20)
8 Semi-Analytical Methods
283(36)
8.1 Introduction
283(1)
8.2 Stress Analysis
283(16)
8.3 Quasi-Static Analysis of Multi-Layer Porous Media under Waves
299(8)
8.4 Exercise Problems
307(12)
9 Finite Difference Method
319(47)
9.1 Introduction
319(1)
9.2 Finite Difference Approximation of Derivatives
319(7)
9.3 FDM for Consolidation (Parabolic) Equation
326(9)
9.4 FDM for Seepage (Laplace) Equation: 2-D Steady State Flow
335(4)
9.5 FDM for Groundwater Flow: Aquifer Simulation
339(2)
9.6 FDM for Consolidation of a Layered System
341(10)
9.7 FDM for Laterally Loaded Piles: Soil-Structure Interaction
351(3)
9.8 Error, Convergence and Stability
354(5)
9.9 Exercise Problems
359(7)
10 Finite Element Method
366(104)
10.1 Introduction
366(1)
10.2 Direct Stiffness Method
366(6)
10.3 Galerkin Method of Weighted Residual
372(7)
10.4 FEM: 1-D Problems
379(25)
10.5 FEM: 2-D Problems
404(8)
10.6 Basic Element Formulations
412(15)
10.7 The Principle of Minimum Potential Energy
427(2)
10.8 Isoparametric Element Formulation
429(8)
10.9 Exercise Problems
437(33)
Appendix
470(17)
A.1 Fourier Series and Fourier Transform
470(5)
A.2 Laplace Transform
475(1)
A.3 MATLAB Commands: FFT, IFFT, FFTSHIFT
476(1)
A.4 Solution Flow Chart for the Analysis of a Viscoelastic Material
477(1)
A.5 Analytical Solution of Wave-Induced Porous Soil Layer Response
478(4)
A.6 Semi-Analytical Solution of Wave-Induced Multi-Layer Porous Soil Response
482(5)
References 487(3)
Index 490
M. S. Rahman is a Professor of Civil Engineering at North Carolina State University.



M. B. Can Ülker is an Associate Professor of Civil Engineering at Istanbul Technical University in Turkey.