000 03094nam a22003498i 4500
001 CR9781139028318
003 UkCbUP
005 20230516164935.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110221s2012||||enk o ||1 0|eng|d
020 _a9781139028318 (ebook)
020 _z9780521765589 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC155.7
_b.M87 2012
082 0 0 _a531
_223
100 1 _aMurdoch, A. I.,
_eauthor.
_968366
245 1 0 _aPhysical foundations of continuum mechanics /
_cA. Ian Murdoch, University of Strathclyde.
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (xiv, 423 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. 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.
520 _aIan Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time. Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field.
650 0 _aContinuum mechanics.
_93467
650 0 _aFluid mechanics.
_92810
776 0 8 _iPrint version:
_z9780521765589
856 4 0 _uhttps://doi.org/10.1017/CBO9781139028318
942 _cEBK
999 _c82356
_d82356