Journal
PHYSICS LETTERS A
Volume 379, Issue 24-25, Pages 1538-1543Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2015.03.027
Keywords
Gradient elasticity; Anisotropy; Green tensor; Nano-elasticity; Regularization; Non-locality
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Funding
- Deutsche Forschungsgemeinschaft [La1974/2-2, La1974/3-1]
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In this paper, we derive the Green tensor of anisotropic gradient elasticity with separable weak nonlocality, a special version of Mindlin's form II anisotropic gradient elasticity theory with up to six independent length scale parameters. The framework models materials where anisotropy is twofold, namely the bulk material anisotropy and a weak non-local anisotropy relevant at the nano-scale. In contrast with classical anisotropic elasticity, it is found that both the Green tensor and its gradient are non-singular at the origin, and that they rapidly converge to their classical counterparts away from the origin. Therefore, the Green tensor of Mindlin's anisotropic gradient elasticity with separable weak nonlocality can be used as a physically-based regularization of the classical Green tensor for materials with strong anisotropy. (C) 2015 Elsevier B.V. All rights reserved.
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