Physical foundations of continuum mechanics

Research output: Book/ReportBook

Abstract

Ian 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.
LanguageEnglish
Place of PublicationNew York
Number of pages433
Publication statusPublished - Dec 2012

Fingerprint

continuum mechanics
continuum modeling
statistical mechanics
students
engineers
fluid flow
continuums
fluids
sensitivity
simulation

Keywords

  • physical foundations
  • continuum mechanics
  • solids
  • macroscopic behaviour
  • molecular dynamical simulations
  • fluids
  • statistical mechanics

Cite this

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Physical foundations of continuum mechanics. / Murdoch, A Ian.

New York, 2012. 433 p.

Research output: Book/ReportBook

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AB - Ian 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.

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