Abstract:
In this paper, based on the assumption on the smallness of deformations, flexural-torsional characteristics and angles of rotation of the shell elements as well as on the assumption on shell's shallowness, with the help of the three-dimensional geometrically nonlinear moment theory of elasticity and by preserving only those nonlinear terms that come from normal displacement (deflection) and its derivatives, a geometrically nonlinear moment-membrane theory of elastic shells is constructed, which is interpreted as a continuum theory of the deformation behavior of flexible two-dimensional nanomaterials (in particular, for carbon nanotubes and graphene).
Key words:flexible shell, moment membrane theory, two-dimensional nanomaterials, continuum theory.
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