DC FieldValueLanguage
dc.contributor.authorKarličić, Daniloen
dc.contributor.authorKozić, Predragen
dc.contributor.authorCajić, Milanen
dc.date.accessioned2020-04-26T19:36:39Z-
dc.date.available2020-04-26T19:36:39Z-
dc.date.issued2018-11-01en
dc.identifier.issn0997-7538en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/619-
dc.description.abstractIn this paper, we analyzed the stochastic stability of a single-layer graphene sheet resting on a viscoelastic foundation and influenced by the in-plane magnetic field. The mechanical model of a graphene sheet is given as an orthotropic and viscoelastic nanoplate while the viscoelastic foundation is of the Kelvin-Voigt type. We assume that the graphene sheet is influenced by the in-plane random forces variable with time and exerted in-plane magnetic field. Based on the Eringen's nonlocal continuum theory and Kirchhoff – Love plate theory, the governing equation of motion is derived by considering the influence of the Lorentz forces obtained from the classical Maxwell relations. In order to investigate the stochastic stability of such system, the maximal and moment Lyapunov exponents are considered by using the perturbation method. The predicted approximated analytical results for the p-th moment Lyapunov exponents are validated by the Monte Carlo method. Moreover, the boundaries of almost-sure and moment stability of the viscoelastic nanoplate are determined as functions of different system parameters. The influences of the nonlocal and magnetic field parameters, stiffness and damping coefficients and spectral density on the moment Lyapunov exponents are investigated through several numerical examples. Presented results reveal that the applied in-plane magnetic field could be successfully used to improve stability performances of nano-electromechanical systems based on graphene sheets.en
dc.publisherElsevier-
dc.relationDynamic stability and instability of mechanical systems subjected to stochastic excitations-
dc.relationDynamics of hybrid systems with complex structures. Mechanics of materials.-
dc.relation.ispartofEuropean Journal of Mechanics, A/Solidsen
dc.subjectGraphene sheet | Magnetic field | Monte Carlo simulation | Nonlocal elasticity theory | Stochastic stabilityen
dc.titleStochastic stability of a magnetically affected single-layer graphene sheet resting on a viscoelastic foundationen
dc.typeArticleen
dc.identifier.doi10.1016/j.euromechsol.2018.02.014en
dc.identifier.scopus2-s2.0-85046150477en
dc.relation.firstpage66en
dc.relation.lastpage78en
dc.relation.volume72en
dc.description.rankM21-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-7547-9293-
crisitem.author.orcid0000-0001-5513-0417-
crisitem.project.funderNIH-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174001e.php-
crisitem.project.fundingProgramNATIONAL CANCER INSTITUTE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL CANCER INSTITUTE/1R43CA174011-01-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NWO/null/2300174001-
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