Abstract
In the quasistatic case, the “Eshelby principle for an interface”, namely, that the total, including the external loading, “driving force” (energy-momentum tensor) must vanish on the boundary, so that it can move incrementally with associated generation of eigenstrain, is demonstrated explicitly for a half-space plane boundary under dilatational eigenstrain.
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Support from the National Science Foundation under grant # CMS 0555280 is gratefully acknowledged.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Markenscoff, X. Driving forces on phase boundaries: “The Eshelby principle for an interface”. Int J Fract 165, 223–227 (2010). https://doi.org/10.1007/s10704-010-9526-1
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DOI: https://doi.org/10.1007/s10704-010-9526-1