Nanostructures, Oral Report

EXPLICIT MODELS OF FLEXURAL EDGE WAVES PROPAGATION IN MULTI-LAYER GRAPHENE PLATES WITH DIFFERENT TYPES OF LAYERS STACKING

Olga Evgen'evna Glukhova, Saratov State University, Russian Federation
Elena Kossovich, Saratov State University, Russian Federation

ABSTRACT

Deflection of the multi-layer graphene plate consisting of 15-100 layers is studied within the elasticity theory of the continuum media. Three types of layer stacking are considered – AAA, ABA and ABC. The density for each of the aforementioned types is found, and functions for multilayer graphene plate thickness depending on the layers number and type of their stacking are developed. The explicit dual parabolic-elliptic models are constructed, describing the propagation of Konenkov flexural edge wave in multi-layer graphene plates in the cases of different types of edge loading. These models well-approximate the exact solution of the aforementioned problem outside the vicinity of the applied force, and also near the edge. Also, these models are constructed taking into account the layers stacking types. It can be noticed that with the growth of the layers amount for graphene plate, its strength also grows. The ABC type of layers stacking appears to be the most suitable for the plate strength properties in comparison to the other ones. The study of this phenomena is performed under the similar conditions for all the plates.

Representing author

photo

Dr. Elena Leonidovna Kossovich

Saratov State University, researcher
Saratov, Russia

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