Physical foundations of continuum mechanics
Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines phy...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2012
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- 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.