Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1546543 | Physica E: Low-dimensional Systems and Nanostructures | 2009 | 6 Pages |
Abstract
In the present paper, small-scale effects on the free in-plane vibration (FIV) of nanoplates are investigated employing nonlocal continuum mechanics. Equations of motion of the nonlocal plate model for the aforementioned study are derived and presented. Explicit relations for natural frequencies are obtained through direct separation of variables. It has been shown that nonlocal effects are quite significant in in-plane vibration studies and need to be included in the continuum model of nanoplates such as in graphene sheets.
Keywords
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Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
T. Murmu, S.C. Pradhan,