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Manuel Pastor
Computational Geomechanics
Читать книгу Computational Geomechanics - Manuel Pastor - Страница 1
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Вернуться на страницу книги Computational Geomechanics
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Страница 1
Table of Contents
List of Tables
List of Illustrations
Guide
Pages
Computational Geomechanics Theory and Applications
Страница 8
Preface
1 Introduction and the Concept of Effective Stress 1.1 Preliminary Remarks
1.2 The Nature of Soils and Other Porous Media: Why a Full Deformation Analysis Is the Only Viable Approach for Prediction
1.3 Concepts of Effective Stress in Saturated or Partially Saturated Media 1.3.1 A Single Fluid Present in the Pores – Historical Note
1.3.2 An Alternative Approach to Effective Stress
1.3.3 Effective Stress in the Presence of Two (or More) Pore Fluids – Partially Saturated Media
Note
References
2 Equations Governing the Dynamic, Soil–Pore Fluid, Interaction
2.1 General Remarks on the Presentation
2.2 Fully Saturated Behavior with a Single Pore Fluid (Water)
2.2.1 Equilibrium and Mass Balance Relationship (
u
,
w
, and
p
)
2.2.2 Simplified Equation Sets (
u
–
p
Form)
2.2.3 Limits of Validity of the Various Approximations
2.3 Partially Saturated Behavior with Air Pressure Neglected (
p
a
= 0)
2.3.1 Why Is Inclusion of Partial Saturation Required in Practical Analysis?
2.3.2 The Modification of Equations Necessary for Partially Saturated Conditions
2.4 Partially Saturated Behavior with Air Flow Considered (
p
a
≥ 0) 2.4.1 The Governing Equations Including Air Flow
2.4.2 The Governing Equation
2.5 Alternative Derivation of the Governing Equation (of
Sections 2.2
–
2.4
) Based on the Hybrid Mixture Theory
2.5.1 Kinematic Equations
2.5.2 Microscopic Balance Equations
2.5.3 Macroscopic Balance Equations
2.5.4 Constitutive Equations
2.5.5 General Field Equations
2.5.6 Nomenclature for
Section 2.5
Superscripts or subscripts
2.6 Conclusion
References
3 Finite Element Discretization and Solution of the Governing Equations 3.1 The Procedure of Discretization by the Finite Element Method
3.2 u‐p Discretization for a General Geomechanics’ Finite Element Code 3.2.1 Summary of the General Governing Equations
3.2.2 Discretization of the Governing Equation in Space
3.2.3 Discretization in Time
3.2.4 General Applicability of Transient Solution (Consolidation, Static Solution, Drained Uncoupled, and Undrained) 3.2.4.1 Time Step Length
3.2.4.2 Splitting or Partitioned Solution Procedures
3.2.4.3 The Consolidation Equation
3.2.4.4 Static Problems – Undrained and Fully Drained Behavior
3.2.5 The Structure of the Numerical Equations Illustrated by their Linear Equivalent
3.2.6 Damping Matrices
3.3 Theory: Tensorial Form of the Equations
3.4 Conclusions
References
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