Gradient Elasticity Formulations for MicroNanoshells

الملخص EN

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∇2σij=Cijkl(1-ls2∇2)εkl and its two approximations 1+ls2∇2-ld2∇2σij=Cijklεkl and σij=Cijkl(1+ld2∇2-ls2∇2)εkl.