Gradient elasticity formulations for micro/nanoshells

Document Type

Article

Publication Date

1-1-2014

Abstract

The focus of this paper is on illustrating how to extend the second author's gradient theory of elasticity to shells. Three formulations are presented based on the implicit gradient elasticity constitutive relation (1 ld2∇2)σij=C ijkl(1-ls2∇2)εkl and its two approximations 1+ls2∇2-ld2∇2)σij=Cijklεkl and σij=Cijkl (1+ld2∇2- ls2∇2)εkl. © 2014 Bohua Sun and E. C. Aifantis.

Publication Title

Journal of Nanomaterials

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