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E-book
Author Chan, Andrew H. C

Title Computational Geomechanics Theory and Applications
Edition 2nd ed
Published Newark : John Wiley & Sons, Incorporated, 2022

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Description 1 online resource (497 p.)
Contents Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 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 -- 1.3.3 Note -- References
Chapter 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 (pa=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 (pa0) -- 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 -) 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 -- 2.6 Conclusion -- References -- Chapter 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 -- Chapter 4 Constitutive Relations: Plasticity -- 4.1 Introduction -- 4.2 The General Framework of Plasticity -- 4.2.1 Phenomenological Aspects -- 4.2.2 Generalized Plasticity -- 4.2.2.1 Basic Theory -- 4.2.2.2 Inversion of the Constitutive Tensor -- 4.2.3 Classical Theory of Plasticity -- 4.2.3.1 Formulation as a Particular Case of Generalized Plasticity Theory -- 4.2.3.2 Yield and Failure Surfaces
Notes Description based upon print version of record
4.2.3.3 Hardening, Softening, and Failure
Form Electronic book
Author Pastor, Manuel
Schrefler, Bernhard A
Shiomi, Tadahiko
Zienkiewicz, Olgierd C
ISBN 9781118535301
1118535308