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Migrating Control Volumes. Stationary and Time-Dependent Changes in Reference Configuration

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 137))

Abstract

To characterize the manner in which configurational forces perform work, a means of capturing the kinematics associated with the transfer of material is needed. I accomplish this with the aid of three notions, none of which is a standard. The first, that of material observers, has been examined in Chapter 2. The other two notions are:

  1. 1.

    control volumes P(t) that migrate through B and thereby result in the transfer of material to P(t) across ∂P(t);

  2. 2.

    time-dependent changes in reference configuration.

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© 2000 Springer-Verlag New York, Inc.

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(2000). Migrating Control Volumes. Stationary and Time-Dependent Changes in Reference Configuration. In: Configurational Forces as Basic Concepts of Continuum Physics. Applied Mathematical Sciences, vol 137. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22656-9_4

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  • DOI: https://doi.org/10.1007/978-0-387-22656-9_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98667-8

  • Online ISBN: 978-0-387-22656-9

  • eBook Packages: Springer Book Archive

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