The origins of this mechanical engineering textbook go back over 30 years. Dr. Ray M. Bowen was teaching Mechanical Engineering at Rice University. Since then, he has held a variety of positions at Oklahoma State University and Texas A&M University. For eight years, he was President of Texas A&M. This educator is offering his 10 chapter textbook to all students.

Unfortunately, there’s no mention of prerequisites or what specific course this text would generally be tied to. I can tell you, based upon glancing through it quickly, you are going to need a great deal of calculus prior to tackling this one. Bowen lists the subjects as: Porous, Elasticity, Mixtures and Continuum Mechanics. The complete title is *Porous Elasticity, Lectures on the Elasticity of Porous Materials as An Application of the Theory of Mixtures*.

The text was originally made available in 2008. The current 2014 version corrected some typos and included an index.

## Table of Contents for Porous Elasticity

- CHAPTER 1. Some Classical Porous Media Models
- 1.1. Preliminary Definitions
- 1.2. Rigid Isentropic Solid Containing One Incompressible Fluid
- 1.3. Rigid Isotropic Solid Containing One Compressible Fluid
- 1.4. Rigid Isotropic Solid Containing N – 1 Incompressible Fluids
- 1.5. Linear Elastic Incompressible Isotropic Solid Containing An Incompressible Fluid
- 1.6. Linear Elastic Isotropic Solid Containing A Compressible Fluid
- References
- CHAPTER 2. Elements of The Theory of Mixtures
- 2.1. Kinematics
- 2.2. Equations of Balance
- 2.3. Field Equations
- 2.4. Balance of Mass-Special Forms
- 2.5. Balance of Momentum-Special Forms
- 2.6. Entropy Inequality
- 2.7. Rigid Isotropic Solid Containing Incompressible Fluids
- References
- CHAPTER 3. Porous Elasticity Models
- 3.1. Immiscible Mixtures
- 3.2. Immiscible Mixtures-Linearized Isotropic Models
- 3.3. Immiscible Mixtures-Field Equations for the Linearized Model
- References
- CHAPTER 4. Porous Elasticity Models With Pore Pressures
- 4.1. Immiscible Mixtures-Definition of Pore Pressure
- 4.2. Binary Immiscible Porous Materials with Pore Pressure
- 4.3. Stability of Equilibrium-Classes of Initial-Boundary Value
- 4.4. Incompressible Immiscible Mixtures
- 4.5. Binary Incompressible Immiscible Mixtures
- References
- CHAPTER 5. Models Which Neglect Inertia
- 5.1. Compressible Models
- 5.2. Incompressible Models
- References
- CHAPTER 6. Further Transformations And Material Properties
- 6.1. Constitutive Equations-Alternate Forms
- 6.2. Connections With Other Formulations
- References
- CHAPTER 7. Singular Surfaces And Acceleration Waves
- 7.1. Singular Surfaces
- 7.2. Acceleration Waves
- References
- CHAPTER 8. Plane Harmonic Waves
- 8.1. One Dimensional Governing Equations
- 8.2. Plane Progressive Waves: Dispersion Relation
- 8.3. High Frequency Approximation
- 8.4. Low Frequency Approximation
- 8.5. High and Low Frequency Approximation for Nonconductors
- 8.6. Phase Velocities
- 8.7. Numerical Example
- References
- CHAPTER 9. Boundary Initial Value Problems: Inertia Neglected
- 9.1. Governing Partial Differential Equations
- 9.2. Some Properties of the Space Part of the Operator
- 9.3. Boundary Initial Value Problems
- 9.4. A One Dimensional Example
- 9.5. Biot Problem
- 9.6. Modified Biot Problem: Time Dependent External Pressure
- 9.7. The Use of Green’s Functions
- References
- CHAPTER 10. Boundary Initial Value Problems: Inertia Included
- 10.1. Governing Partial Differential Equations
- 10.2. Boundary Initial Value Problems
- 10.3. A One Dimensional Example
- 10.4 Properties of the Roots of
- 10.5. Inversion of
- 10.6. The Use of Green’s Functions
- 10.7. Biot Problem with Inertia
- 10.8. Biot Problem with Inertia: Time Dependent External Pressure References
- Appendix A Bibliography

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Porous Elasticity