Physical foundations of continuum mechanics
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Physical foundations of continuum mechanics
Cambridge University Press, 2012
- : hardback
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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.
Includes bibliographical references (p.407-411) and index