4.4 Article

The role of edge forces in conservation laws and energy release rates of strain-gradient solids

Journal

MATHEMATICS AND MECHANICS OF SOLIDS
Volume 17, Issue 3, Pages 266-278

Publisher

SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286511410412

Keywords

cracks; fracture; Noether's theorem; stress concentration

Funding

  1. Italian Ministry for University and Research (PRIN) [2008KNHF9Y]

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Conservation laws and energy release rates for general strain-gradient elastic solids are derived in a finite deformation framework. With respect to the relevant literature new terms are derived modelling the energy release through the body edges. We show how the enlightened contributions and the presence of edge forces play a relevant role when estimating the J-integral of mode I and II crack opening problems.

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