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On Effective Bending Stiffness of a Laminate Nanoplate Considering Steigmann–Ogden Surface Elasticity

Abstract

As at the nanoscale the surface-to-volume ratio may be comparable with any characteristic length, while the material properties may essentially depend on surface/interface energy properties. In order to get effective material properties at the nanoscale, one can use various generalized models of continuum. In particular, within the framework of continuum mechanics, the surface elasticity is applied to the modelling of surface-related phenomena. In this paper, we derive an expression for the effective bending stiffness of a laminate plate, considering the Steigmann–Ogden surface elasticity. To this end, we consider plane bending deformations and utilize the through-the-thickness integration procedure. As a result, the calculated elastic bending stiffness depends on lamina thickness and on bulk and surface elastic moduli. The obtained expression could be useful for the description of the bending of multilayered thin films.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Applied Sciences-Basel no. 10,
ISSN: 2076-3417
Language:
English
Publication year:
2020
Bibliographic description:
Eremeev V., Wiczenbach T.: On Effective Bending Stiffness of a Laminate Nanoplate Considering Steigmann–Ogden Surface Elasticity// Applied Sciences-Basel -Vol. 10,iss. 21 (2020), s.7402-
DOI:
Digital Object Identifier (open in new tab) 10.3390/app10217402
Verified by:
Gdańsk University of Technology

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