Mechanics of Poroelastic Media

In Mechanics of Poroelastic Media the classical theory of poroelasticity developed by Biot is developed and extended to the study of problems in geomechanics, biomechanics, environmental mechanics and materials science. The contributions are grouped into sections covering constitutive modelling, analytical aspects, numerical modelling, and applications to problems. The applications of the classical theory of poroelasticity to a wider class of problems will be of particular interest. The text is a standard reference for researchers interested in developing mathematical models of poroelasticity in geoenvironmental mechanics, and in the application of advanced theories of poroelastic biomaterials to the mechanics of biomaterials.

Inhalt
Section 1 Poroelasticity: Constitutive Models and Analytical Aspects.- Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth's Crust.- Theoretical Aspects of Fracture in Porous Elastic Media.- On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media.- Filtration of Bubbly Fluids.- Section 2 Poroelasticity: Numerical Modelling Aspects.- On Singular Integral Equations of Poroelasticity.- Microstructure-Based Finite Element Analysis of Heterogeneous Media.- Boundary Element Approach to Coupled Poroelastodynamic Problems.- Numerical Modelling of Saturated Porous Media Subjected to Dynamic Loading.- Section 3 Poroelasticity: Applications in Geomechanics.- Modelling of Thermal Consolidation of Sparsely Fractured Rock in the Context of Nuclear Waste Management.- Excavation and Construction Problems Involving Porous Media.- The Effect of a Time-Dependent Load on a Poroelastic Seabed Over a Region with Moving Boundaries.- Poroelastic Response Resulting From Magma Intrusion.- Axisymmetric Indentation of a Multilayered Poroelastic Solid.- Section 4 Poroelasticity: Applications in Biomechanics.- Porohyperelastic Theory and Finite Element Models for Soft Tissues with Application to Arterial Mechanics.- Prediction of Frequency and Pore Size Dependent Attenuation of Ultrasound in Trabecular Bone Using Biot's Theory.- Load Carrying Capacity of the Pore Pressure in a Poroelastic Beam Subject to Oscillatory Excitation.- Predictions of the Swelling-Induced Pre-Stress in Articular Cartilage.- Section 5 Poroelasticity: Dynamics.- Poroelastic Plate and Shell Theories.- Harmonic Dynamics of Poroelastic Plates with One or Two Degrees of Porosity.- Dynamics of a Rigid Strip Bonded to aMultilayered Poroelastic Medium.- Analyses of Waves in 3-D Poroelastic Media.- Author Index.