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Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics

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Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

Abstract

The force on a dislocation or point defect, as understood in solid-state physics, and the crack extension force of fracture mechanics are examples of quantities which measure the rate at which the total energy of a physical system varies as some kind of departure from uniformity within it changes its configuration. One may define similarly a force acting on each element of a mobile interface (a phase boundary or martensitic interface, for example).

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Author information

Authors and Affiliations

  1. Department of the Theory of Materials, University of Sheffield, Sheffield, England

    J. D. Eshelby

Authors
  1. J. D. Eshelby
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Editor information

Editors and Affiliations

  1. Mathematical Institute, 24-29 St. Giles, Oxford, OX1 3LB, UK

    John M. Ball

  2. Department of Mathematics, Carnegie-Mellon University, PA 15213-3890, Pittsburgh, USA

    David Kinderlehrer

  3. Dipartimento di Ingegneria Civile, Universitá di Roma “Tor Vergata”, I-00133, Roma, Italy

    Paulo Podio-Guidugli

  4. Center for Mathematical Sciences, University of Wisconsin, 1308 West Dayton St., WI 53715-1149, Madison, USA

    Marshall Slemrod

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© 1999 Springer-Verlag Berlin Heidelbergs

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Eshelby, J.D. (1999). Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics. In: Ball, J.M., Kinderlehrer, D., Podio-Guidugli, P., Slemrod, M. (eds) Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59938-5_5

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  • DOI: https://doi.org/10.1007/978-3-642-59938-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64188-6

  • Online ISBN: 978-3-642-59938-5

  • eBook Packages: Springer Book Archive

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