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OverviewThis book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal flesh, or man-made materials can look very different due to their different origins, but as readers will see, the underlying physical principles governing their mechanical behaviors can be the same, making this work relevant not only to engineers but also to scientists across other scientific disciplines. Readers will find discussions of physical phenomena including soil consolidation, land subsidence, slope stability, borehole failure, hydraulic fracturing, water wave and seabed interaction, earthquake aftershock, fluid injection induced seismicity and heat induced pore pressure spalling as well as discussions of seismoelectric and seismoelectromagnetic effects. The work also explores the biomechanics of cartilage, bone and blood vessels. Chapters present theory using an intuitive, phenomenological approach at the bulk continuum level, and a thermodynamics-based variational energy approach at the micromechanical level. The physical mechanisms covered extend from the quasi-static theory of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed form analytical solutions are derived in details. This book provides an excellent introduction to linear poroelasticity and is especially relevant to those involved in civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanics. Full Product DetailsAuthor: Alexander H.-D. ChengPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2016 Volume: 27 ISBN: 9783319797519ISBN 10: 3319797514 Pages: 877 Publication Date: 22 April 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1 Introduction1.1 Porous Material1.2 Physical Mechanism1.3 Poroelastic Phenomena 2. Constitutive Equation2.1 Physical versus Phenomenological Approach2.2 Stress and Strain of Porous Medium2.3 Poroelastic Constitutive Equation2.4 Bulk Material Constant 3. Micromechanics3.1 Micromechanical Analysis3.2 Ideal Porous Medium3.3 Effective Modulus3.4 Nonlinear Model3.5 Laboratory Test3.6 Table of Poroelastic Constants 4. Variational Energy Formulation 4.1 Internal and external stress and strain 4.2 Thermodynamic Principles 4.3 Variational Formulation 4.4 Constitutive Equation 4.5 Intrinsic Material Constant 4.6 Link with Phenomological Model 4.7 Deviation from Ideal Porous Medium 4.8 Limiting Material Properties 4.9 Material Stability and Energy Diagram 4.10 Semilinear Model 4.11. Laboratory Measurement of Intrinsic Constant 5. Anisotropy 5.1 Anisotropic Constitutive Equation 5.2 Material Symmetry 5.3 Micromechanics 5.4 Ideal Porous Medium 5.5 Example 6. Governing Equation 6.1 Darcy's Law 6.2 Other Physical Laws 6.3 Governing Equation 6.4 Degenerated Governing Equation 6.5 Boundary Value Problem 6.6 Field Equation 7. Analytical Solution<7.1 Review of Early Work 7.2 Uniaxial Strain 7.3 One-dimensional Consolidation Problem 7.4 Plane Strain 7.5 Generalized Plane Strain 7.6 Bending of Plate 7.7 Mandel Problem 7.8 Water Wave over Seabed 7.9 Spherical Symmetry 7.10 Cryer Problem 7.11 Spherical Cavity 7.12 Axial Symmetry 7.13 Cylinder Problem 7.14 Borehole Problem 7.15 Borehole and Cylinder Application Problems 7.16 Moving Load on Half Plane 7.17 Plane Strain Half Space and Layered Problem 7.18 Axial Symmetry Half Space Problem 8. Fundamental Solution and Integral Equation 8.1 Reciprocal Theorem 8.2 Somigliana Integral Equation 8.3 Fredholm Integral Equation 8.4 Stress Discontinuity Method 8.5 Displacement Discontinuity Method 8.6 Dislocation Method 8.7 Galerkin Integral Equation 8.8 Fundamental Solution 8.9 Poroelasticity Fundamental Solution 8.10 Fluid Source 8.11 Fluid Dipole 8.12 Fluid Dilatation 8.13 Fluid Force 8.14 Fluid dodecapole 8.15 Total Force 8.16 Solid Quadrupole and Hexapole 8.17 Solid Center of Dilatation 8.18 Displacement Discontinuity 8.19 Edge Dislocation 8.20 Fundamental Solution Relation Based on Reciprocity 9. Poroelastodynamics 9.1 Dynamic Equilibrium Equation 9.2 Dynamic Permeability 9.3 Governing Equation 9.4 Wave Propagation 9.5 Phase Velocity and Attenuation 9.6 One-Dimensional Wave Problem 9.7 Thermoelasticity Analogy 9.8 Poroelastodynamics Fundamental Solution 9.9 Integral Equation Representation 9.10 Plane Wave Reflection and Refraction 10. Poroviscoelasticity10.1 Viscoelasticity 10.2 Poroviscoelasticity 10.3 Borehole Problem 10.4 Cylinder Problem 10.5 Poroviscoelastodynamics 11. Porothermoelasticity 11.1 Constitutive Equation 11.2 Balance Law 11.3 Nonequilibrium Thermodynamics and Transport Law 11.4 Governing Equation 11.5 Uniaxial Strain 11.6 Heating off a Half Space 11.7 Axial Symmetry 11.8 Borehole Problem 11.9 Cylinder Problem 11.10 Spherical Symmetry 11.11 Cavity Problem 11.12 Sphere Problem 11.13 Porothermoelasticity Fundamental Solution 12. Porochemoelasticity 12.1 Electrochemical Effect 12.2 Micromechanical Analysis 12.3 Constitutive Equation 12.4 Balance and Transport Law 12.5 Governing Equation 12.6 Uniaxial Strain Problem12.7 Axial Symmetry Problem12.8 Spherical Symmetry Problem Appendices IndexReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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