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B. Arash, Q. Wang

Titel:A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes
Jahr:2013
Stichworte:Carbon nanotubes Graphene sheets Nonlocal continuum theory Modeling and simulations Small scale effect
Kategorie:Buchbeiträge
ISBN:978-3-319-01200-1
DOI:/10.1007/978-3-319-01201-8_2

Abstract

Recent research studies on the application of the nonlocal continuum theory in modeling of carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum models proposed for static and dynamic analyses of the nano-materials are introduced. The superiority of the nonlocal continuum theory to its local counterpart, and the necessity of calibration of the small-scale parameter as the key parameter revealing small-scale effects are discussed. The nonlocal beam, plate, and shell models are briefly presented and potential areas for future research are recommended. It is intended to provide an introduction to the development of the nonlocal continuum theory in modeling the nano-materials, survey the different nonlocal continuum models, and motivate further applications of the nonlocal continuum theory to nano-material modeling.