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). Methods for calculating such effective forces are reviewed for both quasi-static and dynamic processes, the latter with particular refer-ence to the motion of crack tips. The clastic energy-momentum tensor proves to be a useful tool in such calculations. 77 82 J. M. Ball et al. (eds.), Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids © Springer-Verlag Berlin Heidelberg 1999 Energy and Energy-Momentum Tensor in Continuum Mechanics 78 INELASTIC BEHAVIOR OF SOLIDS
CITATION STYLE
Eshelby, J. D. (1999). Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics. In Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids (pp. 82–119). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-59938-5_5
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