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

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 pr...

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Bibliographic Details
Published in:Mathematics and mechanics of solids 2012-05, Vol.17 (3), p.266-278
Main Authors: Sciarra, G, Vidoli, S
Format: Article
Language:English
Subjects:
Classical transport
Engineering Sciences
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Mechanics
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Statistical physics, thermodynamics, and nonlinear dynamical systems
Structural and continuum mechanics
Transport processes
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Summary: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.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286511410412