## Mechanics of Poroelastic MediaIn 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 |

389 | |

391 | |

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### Common terms and phrases

analysis applied approximation articular cartilage assumed behavior Beskos Biot Biot's bone boundary conditions boundary element boundary element method coefficient components compressibility consolidation constant coupled defined deformation denote density diffusion displacement displacement vector distribution domain dynamic effects elastic element method equilibrium excavation finite element finite element analysis flow fluid-saturated formulation fracture frequency functions fundamental solution governing equations gradient half plane hydraulic impermeable inclusion incompressible integral equations interface Laplace transform layer linear loading magnitude material properties matrix Mech medium membrane mesh mixture modulus nondimensional normal numerical obtained parameters paraxial approximation permeability plane strain Poisson's ratio pore fluid pressure pore pressure Poroelastic Media poroelastic plate poroelastic solid porosity porous media problem propagation respectively rock Rudnicki saturated porous Selvadurai shear dislocation shear modulus shown in Figure soil stress intensity factors surface tensor theory tissue total stress traction undrained vector velocity versus viscosity wave zero