Influence of surface stresses on stiffness properties and stability of nanoplates
| Autor: | A. O. Bochkarev |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | AIP Conference Proceedings. |
| ISSN: | 0094-243X |
| DOI: | 10.1063/1.5013698 |
| Popis: | This paper presents the resolving equations of a large deflection of a plate in the framework of the classical non-linear von Karman theory with surface stresses taken into account. The given model is different from the original Gurtin–Murdoch model and does not include any non-strain terms in the surface stress-strain relation. It is shown that the classical form of the von Karman equations is preserved with the redefined elastic moduli. Along with the known effective properties (flexural and tangential stiffnesses), new effective elastic moduli (flexural and tangential Young’s modulus and Poisson’s ratio) that contain the characteristics of a body and a surface are introduced. This allows us to apply the known solutions and methods for macroplates to nanoplates. The difference of the buckling of a macro- and nanoplate in a homogeneous and inhomogeneous stress field is shown, and the factors affecting the difference are determined. |
| Databáze: | OpenAIRE |
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