Physical foundations of continuum mechanics /
Murdoch, A. I.
Cambridge [England] : Cambridge University Press,
2012.
"Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians and physicists who study macroscopic behaviour (for example, solid mechanics or fluid dynamics) or engage in molecular dynamical simulations. Unlike other works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. By doing so, this book clarifies physical interpretations of concepts and fields by emphasising their microscopic origin and sensitivity to scale. Murdoch expertly applies these concepts to theories of mixtures, generalised continua and fluid flow through porous media. This unique and thorough work is an authoritative reference for both students and experts in the field"--
"Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians and physicists who study macroscopic behaviour (for example, solid mechanics or fluid dynamics) or engage in molecular dynamical simulations. Unlike other works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. By doing so, this book clarifies physical interpretations of concepts and fields by emphasising their microscopic origin and sensitivity to scale. Murdoch expertly applies these concepts to theories of mixtures, generalised continua and fluid flow through porous media. This unique and thorough work is an authoritative reference for both students and experts in the field"--
Includes bibliographical references (pages 407-411) and index.
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.
Continuum mechanics.
Fluid mechanics.
SCIENCE / Mechanics / Dynamics / Fluid Dynamics.