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Author Murdoch, A. I.
Title Physical foundations of continuum mechanics / A. Ian Murdoch.
Imprint New York : Cambridge University Press, 2012.

Subject Continuum mechanics.
Fluid mechanics.
Description 1 online resource (xiv, 423 pages) : illustrations
Summary "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"-- Provided by publisher.
Bibliography Note Includes bibliographical references and index.
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.
Note Print version record.
ISBN 9781139028318 (electronic bk.)
1139028316 (electronic bk.)
9781139781930 (electronic bk.)
1139781936 (electronic bk.)
9781139775908 (electronic bk.)
1139775901 (electronic bk.)
9781283714525 (MyiLibrary)
1283714523 (MyiLibrary)
ISBN/ISSN 99953085487
OCLC # 815969372
Additional Format Print version: Murdoch, A.I. Physical foundations of continuum mechanics. New York : Cambridge University Press, 2012 9780521765589 (DLC) 2012015692 (OCoLC)794323684