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Physical foundations of continuum mechanics

Author: A I Murdoch
Publisher: Cambridge [England] : Cambridge University Press, 2012.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A I Murdoch
ISBN: 9780521765589 0521765587
OCLC Number: 794323684
Description: xiv, 423 pages ; 26 cm
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.
Responsibility: A. Ian Murdoch, University of Strathclyde.
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This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective.  Read more...

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'Numerous books have been written on the subject, but this book has unique features that make it somewhat different from the conventional [ones] ... the microscale viewpoints of the book are somewhat Read more...

 
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