Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this paper, the buckling behavior of single-layered graphene sheets (SLGSs) is investigated under bi-axial compression considering non-uniformity in the thickness.
Abstract: This paper presents an investigation on the buckling characteristics of nanoscale rectangular plates under bi-axial compression considering non-uniformity in the thickness. Based on the nonlocal continuum mechanics, governing differential equations are derived. Numerical solutions for the buckling loads are obtained using the Galerkin method. The present study shows that the buckling behaviors of single-layered graphene sheets (SLGSs) are strongly sensitive to the nonlocal and non-uniform parameters. The influence of percentage change of thickness on the stability of SLGSs is more significant in the strip-type nonoplates (nanoribbons) than in the square-type nanoplates.
105 citations
TL;DR: For this model a Riemann solver is developed and some reference solutions which are compared with the conservative model are determined and good agreement of both models for waves of very small and very large amplitude is shown.
105 citations