Yehuda Klausner

Fundamentals of Continuum Mechanics of Soils (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book presents a study of the continuum mechanics of soils and is aimed at scientists, researchers and students in geotechnical engineering, soil physics and material sciences. It provides the theoretical foundation for flow and diffusion, volumetric and shear phenomena, and failure in soils. The theory of mixtures and the basic concepts of mechanics and thermodynamics are also discussed.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 607
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781447116776
• Artikelnr.: 44062730

Inhaltsangabe

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.