Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Some Elements of Continuum Mechanics
- 3 Motivation for Seeking a Molecular Scale-Dependent Perspective on Continuum Modelling
- 4 Spatial Localisation, Mass Conservation, and Boundaries
- 5 Motions, Material Points, and Linear Momentum Balance
- 6 Balance of Energy
- 7 Fine-Scale Considerations: Moments, Couple Stress, Inhomogeneity, and Energetics
- 8 Time Averaging and Systems with Changing Material Content
- 9 Elements of Mixture Theory
- 10 Fluid Flow through Porous Media
- 11 Linkage of Microscopic and Macroscopic Descriptions of Material Behaviour via Cellular Averaging
- 12 Modelling the Behaviour of Specific Materials: Constitutive Relations and Objectivity
- 13 Comments on Non-Local Balance Relations
- 14 Elements of Classical Statistical Mechanics
- 15 Summary and Suggestions for Further Study
- Appendix A Vectors, Vector Spaces, and Linear Algebra
- Appendix B Calculus in Euclidean Point Space ℰ
- References
- Index
9 - Elements of Mixture Theory
Published online by Cambridge University Press: 05 November 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Some Elements of Continuum Mechanics
- 3 Motivation for Seeking a Molecular Scale-Dependent Perspective on Continuum Modelling
- 4 Spatial Localisation, Mass Conservation, and Boundaries
- 5 Motions, Material Points, and Linear Momentum Balance
- 6 Balance of Energy
- 7 Fine-Scale Considerations: Moments, Couple Stress, Inhomogeneity, and Energetics
- 8 Time Averaging and Systems with Changing Material Content
- 9 Elements of Mixture Theory
- 10 Fluid Flow through Porous Media
- 11 Linkage of Microscopic and Macroscopic Descriptions of Material Behaviour via Cellular Averaging
- 12 Modelling the Behaviour of Specific Materials: Constitutive Relations and Objectivity
- 13 Comments on Non-Local Balance Relations
- 14 Elements of Classical Statistical Mechanics
- 15 Summary and Suggestions for Further Study
- Appendix A Vectors, Vector Spaces, and Linear Algebra
- Appendix B Calculus in Euclidean Point Space ℰ
- References
- Index
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- Physical Foundations of Continuum Mechanics , pp. 167 - 187Publisher: Cambridge University PressPrint publication year: 2012