Mechanics of Poroelastic Media

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A.P.S. Selvadurai
Springer Science & Business Media, Jan 31, 1996 - Science - 394 pages
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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.
  

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Contents

Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earths Crust
3
Theoretical Aspects of Fracture in Porous Elastic Media
23
On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media
47
Filtration of Bubbly Fluids
73
POROELASTICITY NUMERICAL MODELLING ASPECTS
91
On Singular Intergral Equations of Poroelasticity
93
MicrostructureBased Finite Element Analysis of Heterogeneous Media
109
Boundary Element Approach to Coupled Proelastodynamic Problems
125
Axisymmetric Indentation of a Multilayered Poroelastic Soild
235
POROELASTICITY APPLICATIONS IN BIOMECHANICS
243
Porohyperelastic Theory and Finite Element Models for Soft Tissues with Application to Arterial Mechanics
245
Prediction of Frequency and Pore Size Dependent Attenuation of Ultrasound in Trabecular Bone Using Biots Theory
263
Load Carrying Capacity of the Pore Pressure in a Poroelastic Beam Subject to Oscillatory Excitation
273
Predictions of the SwellingInduced PreStress in Articular Cartilage
299
POROELASTICITY DYNAMICS
321
POROELASTIC PLATE AND SHELL THEORIES
323

Numeical Modelling of Saturated Porous Media Subjected to Dynamic Loading
143
POROELASTICITY APPLICATIONS IN GEOMECHANICS
157
Modelling of Thermal Consolidation of Sparsely Fractured Rock in the Context of Nuclear Waste Management
159
Excavation and Construction Problems Involving Porous Media
181
The Effect of a TimeDependent Load on a Poroelastic Seabed Over a Region with Moving Boundaries
197
Poroelastic Responser Resulting From Magma Intrusion
215
Harmonic Dynamics of Poroelastic Plates with One or Two Degrees of Porosity
339
Dynamics of a Rigid Strip Bonded to a Multilayered Poroelastic Medium
353
Analyses of waves in 3D Poroelastic Media
371
Author Index
389
Subject Index
391
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