Fundamentals of Continuum Mechanics of Soils [E-Book] / by Yehuda Klausner.
Fundamentals of Continuum Mechanics of Soils provides a long-needed general scheme for the study of the important yet problematic material of soil. It closes the gap between two disciplines, soil mechanics and con- tinuum mechanics, showing that the familiar concepts of soil mechanics evolve directl...
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Full text |
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Personal Name(s): | Klausner, Yehuda, author |
Imprint: |
London :
Springer,
1991
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Physical Description: |
XLIII, 607 p. online resource. |
Note: |
englisch |
ISBN: |
9781447116776 |
DOI: |
10.1007/978-1-4471-1677-6 |
Subject (LOC): |
- 1 Introduction
- 2 Deformation and Strain
- 3 Kinematics
- 4 Balance Equations for Homogeneous Media
- 5 Energetics
- 6 Multi-phase Mixtures
- 7 Constitutive Equations
- 8 The Soil
- 9 Soil as a Multi-phase Mixture
- 10 Flow in Soils
- 11 Volumetrie Stress-Strain Phenomena
- 12 Shear Stress-Strain Phenomena
- 13 Failure
- Appendix A Tensor Mathematics
- A.1 Introduction
- A.2 The Indicial Notation
- A.3 Transformation of Coordinates
- A.4 The Summation Convention
- A.5 The Kronecker Delta
- A.6 Contravariant and Covariant Tensors
- A.7 Symmetric and Skew-symmetric Tensors
- A.8 Addition, Subtraction and Multiplication
- A.9 Contraction
- A.10 The Line Element
- A.11 The Angle between Vectors
- A.12 Lowering and Raising Indices
- A.13 The Christoffel Symbols
- A.14 Covariant Differentiation of Tensors
- A.15 Principal Directions of Second-order Tensors
- A.16 Differential Operators
- A.17 Orthogonal and Cartesian Coordinates
- A.18 Invariants
- A.19 Integrals of Tensor Fields
- A.20 Geometrical Representation of Second-order Tensors
- A.21 Axially Symmetric Second-order Tensors
- Appendix B Cylindrical Coordinates
- B.1 Introduction
- B.2 Definition of the Cylindrical Coordinate System
- B.3 The Fundamental Tensor
- B.4 The Christoffel Symbols
- B.5 Covariant Derivatives
- B.6 Basic Operations of First-order Tensors in Cylindrical Coordinates
- B.7 Elements of Differential Geometry
- B.8 Equations of Kinematics
- B.9 The Strain Tensor
- B.10 The Balance Equations
- Appendix C Rheological Modeling
- C.l Introduction
- C.2 The Hookean Elastic Element
- C.3 The Newtonian Viscous Element
- C.4 Coupling of Rheological Elements
- C.5 St Venant’s Element of Plastic Restraint
- C.6 The Prandtl Body
- C.7 The Maxwell Body
- C.8 The Kelvin Body
- C.9 The Burgers Body
- C.10 The Relations Between Excitation and Response
- C.11 The Relaxation and Creep Functions
- C.12 The General Rheological Models
- C.13 Elastic and Dissipative Excitations
- C.14 The Plastic Restraint
- References.