Abstract

AbstractIn this paper, basic system of equations, boundary conditions and Lagrange variational principle of bending deformation of elastic thin plates are presented, constructed on the basis of Cosserat theory, as a continual model of graphene sheet bending. The values of elastic constants of the moment theory of elasticity for graphene material are presented. Based on this continuum model, the problem of bending of a rectangular graphene sheet is considered, when all its sides are hinged supported. Further, a contact problem is studied, when the graphene sheet is bent under the action of a rigid stamp. The contact pressure between the stamp and the graphene sheet, the size of the contact zone and the stamp deposit are determined depending on the magnitude of the applied load.KeywordsThin plate bending modelBuilt on the basis of Cosserat theoryContinual model of bending of a graphene sheetBending problem and contact problem for a graphene sheet

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.