Ebook: Mechanics of Poroelastic Media
- Tags: Mechanics, Geotechnical Engineering &Applied Earth Sciences, Vibration Dynamical Systems Control
- Series: Solid Mechanics and Its Applications 35
- Year: 1996
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth’s Crust....Pages 3-22
Theoretical Aspects of Fracture in Porous Elastic Media....Pages 23-45
On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media....Pages 47-71
Filtration of bubbly fluids....Pages 73-89
Front Matter....Pages 91-91
On Singular Integral Equations of Poroelasticity....Pages 93-108
Microstructure-Based Finite Element Analysis of Heterogeneous Media....Pages 109-124
Boundary Element Approach to Coupled Poroelastodynamic Problems....Pages 125-142
Numerical Modelling of Saturated Porous Media Subjected to Dynamic Loading....Pages 143-156
Front Matter....Pages 157-157
Modelling of thermal consolidation of sparsely fractured rock in the context of nuclear waste management....Pages 159-180
Excavation and Construction Problems Involving Porous Media....Pages 181-195
The Effect of a Time-Dependent Load on a Poroelastic Seabed over a Region with Moving Boundaries....Pages 197-213
Poroelastic Response Resulting from Magma Intrusion....Pages 215-233
Axisymmetric Indentation of a Multilayered Poroelastic Solid....Pages 235-241
Front Matter....Pages 243-243
Porohyperelastic theory and finite element models for soft tissues with application to arterial mechanics....Pages 245-261
Prediction of frequency and pore size dependent attenuation of ultrasound in trabecular bone using Biot’s theory....Pages 263-271
Load carrying capacity of the pore pressure in a poroelastic beam subject to oscillatory excitation....Pages 273-298
Predictions of the Swelling-Induced Pre-Stress in Articular Cartilage....Pages 299-320
Front Matter....Pages 321-321
Poroelastic Plate and Shell Theories....Pages 323-337
Harmonic dynamics of poroelastic plates with one or two degrees of porosity....Pages 339-351
Dynamics of a rigid strip bonded to a multilayered poroelastic medium....Pages 353-369
Back Matter....Pages 389-398
Analyses of waves in 3-d poroelastic media....Pages 371-387
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth’s Crust....Pages 3-22
Theoretical Aspects of Fracture in Porous Elastic Media....Pages 23-45
On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media....Pages 47-71
Filtration of bubbly fluids....Pages 73-89
Front Matter....Pages 91-91
On Singular Integral Equations of Poroelasticity....Pages 93-108
Microstructure-Based Finite Element Analysis of Heterogeneous Media....Pages 109-124
Boundary Element Approach to Coupled Poroelastodynamic Problems....Pages 125-142
Numerical Modelling of Saturated Porous Media Subjected to Dynamic Loading....Pages 143-156
Front Matter....Pages 157-157
Modelling of thermal consolidation of sparsely fractured rock in the context of nuclear waste management....Pages 159-180
Excavation and Construction Problems Involving Porous Media....Pages 181-195
The Effect of a Time-Dependent Load on a Poroelastic Seabed over a Region with Moving Boundaries....Pages 197-213
Poroelastic Response Resulting from Magma Intrusion....Pages 215-233
Axisymmetric Indentation of a Multilayered Poroelastic Solid....Pages 235-241
Front Matter....Pages 243-243
Porohyperelastic theory and finite element models for soft tissues with application to arterial mechanics....Pages 245-261
Prediction of frequency and pore size dependent attenuation of ultrasound in trabecular bone using Biot’s theory....Pages 263-271
Load carrying capacity of the pore pressure in a poroelastic beam subject to oscillatory excitation....Pages 273-298
Predictions of the Swelling-Induced Pre-Stress in Articular Cartilage....Pages 299-320
Front Matter....Pages 321-321
Poroelastic Plate and Shell Theories....Pages 323-337
Harmonic dynamics of poroelastic plates with one or two degrees of porosity....Pages 339-351
Dynamics of a rigid strip bonded to a multilayered poroelastic medium....Pages 353-369
Back Matter....Pages 389-398
Analyses of waves in 3-d poroelastic media....Pages 371-387
....
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth’s Crust....Pages 3-22
Theoretical Aspects of Fracture in Porous Elastic Media....Pages 23-45
On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media....Pages 47-71
Filtration of bubbly fluids....Pages 73-89
Front Matter....Pages 91-91
On Singular Integral Equations of Poroelasticity....Pages 93-108
Microstructure-Based Finite Element Analysis of Heterogeneous Media....Pages 109-124
Boundary Element Approach to Coupled Poroelastodynamic Problems....Pages 125-142
Numerical Modelling of Saturated Porous Media Subjected to Dynamic Loading....Pages 143-156
Front Matter....Pages 157-157
Modelling of thermal consolidation of sparsely fractured rock in the context of nuclear waste management....Pages 159-180
Excavation and Construction Problems Involving Porous Media....Pages 181-195
The Effect of a Time-Dependent Load on a Poroelastic Seabed over a Region with Moving Boundaries....Pages 197-213
Poroelastic Response Resulting from Magma Intrusion....Pages 215-233
Axisymmetric Indentation of a Multilayered Poroelastic Solid....Pages 235-241
Front Matter....Pages 243-243
Porohyperelastic theory and finite element models for soft tissues with application to arterial mechanics....Pages 245-261
Prediction of frequency and pore size dependent attenuation of ultrasound in trabecular bone using Biot’s theory....Pages 263-271
Load carrying capacity of the pore pressure in a poroelastic beam subject to oscillatory excitation....Pages 273-298
Predictions of the Swelling-Induced Pre-Stress in Articular Cartilage....Pages 299-320
Front Matter....Pages 321-321
Poroelastic Plate and Shell Theories....Pages 323-337
Harmonic dynamics of poroelastic plates with one or two degrees of porosity....Pages 339-351
Dynamics of a rigid strip bonded to a multilayered poroelastic medium....Pages 353-369
Back Matter....Pages 389-398
Analyses of waves in 3-d poroelastic media....Pages 371-387
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth’s Crust....Pages 3-22
Theoretical Aspects of Fracture in Porous Elastic Media....Pages 23-45
On Theories of Mixtures and Their Applications to Dynamics of Fluid Saturated Porous Media....Pages 47-71
Filtration of bubbly fluids....Pages 73-89
Front Matter....Pages 91-91
On Singular Integral Equations of Poroelasticity....Pages 93-108
Microstructure-Based Finite Element Analysis of Heterogeneous Media....Pages 109-124
Boundary Element Approach to Coupled Poroelastodynamic Problems....Pages 125-142
Numerical Modelling of Saturated Porous Media Subjected to Dynamic Loading....Pages 143-156
Front Matter....Pages 157-157
Modelling of thermal consolidation of sparsely fractured rock in the context of nuclear waste management....Pages 159-180
Excavation and Construction Problems Involving Porous Media....Pages 181-195
The Effect of a Time-Dependent Load on a Poroelastic Seabed over a Region with Moving Boundaries....Pages 197-213
Poroelastic Response Resulting from Magma Intrusion....Pages 215-233
Axisymmetric Indentation of a Multilayered Poroelastic Solid....Pages 235-241
Front Matter....Pages 243-243
Porohyperelastic theory and finite element models for soft tissues with application to arterial mechanics....Pages 245-261
Prediction of frequency and pore size dependent attenuation of ultrasound in trabecular bone using Biot’s theory....Pages 263-271
Load carrying capacity of the pore pressure in a poroelastic beam subject to oscillatory excitation....Pages 273-298
Predictions of the Swelling-Induced Pre-Stress in Articular Cartilage....Pages 299-320
Front Matter....Pages 321-321
Poroelastic Plate and Shell Theories....Pages 323-337
Harmonic dynamics of poroelastic plates with one or two degrees of porosity....Pages 339-351
Dynamics of a rigid strip bonded to a multilayered poroelastic medium....Pages 353-369
Back Matter....Pages 389-398
Analyses of waves in 3-d poroelastic media....Pages 371-387
....
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