This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
A. Ian Murdoch is Professor Emeritus of Mathematics at the University of Strathclyde, Glasgow. His work on continuum mechanics has been widely published in such journals as the Archive for Rational Mechanics and Analysis, Proceedings of the Royal Society, Journal of Elasticity, International Journal of Engineering Science, Continuum Mechanics and Thermodynamics, and the Quarterly Journal of Mechanics and Applied Mathematics. He is the co-editor of two books: Modelling Macroscopic Phenomena at Liquid Boundaries and Modelling Coupled Phenomena in Saturated Porous Materials, and author of published lecture notes: Foundations of Continuum Modelling. Dr Murdoch has taught and lectured at many distinguished mathematics and engineering schools around the world.
Inhaltsangabe
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 two non-local balance relations 14. Elements of classical statistical mechanics 15. Summary and suggestions for further study Appendices.
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 two non-local balance relations 14. Elements of classical statistical mechanics 15. Summary and suggestions for further study Appendices.
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