An exactbending solutionfor functionallygraded magneto-electro-elasticplates restingon elasticfoundations withconsidering interfacial imperfections

N Cheraghi, M Lezgy-Nazargah
2015 ModaresMechanical Engineering   unpublished
OriginalResearchPaper Received29July2015 Accepted19September2015 AvailableOnline05December2015 three-dimensional(3D)Peanoseriessolutionispresentedforthestaticanalysisoffunctionally graded (FG) and layered magneto-electro-elastic (MEE) plates resting on elastic foundations considering imperfect interfacial bonding. The interfacial imperfection is modeled using generalized spring layer. Regardless of the number of layers, the equations of motion, Gauss'
more » ... theboundaryandinterfaceconditionsareexactly satisfied.Noassumptionondeformations,stresses,magneticandelectricfieldalongthethickness direction is introduced. The governing partial differential equations are finally solved using the state-spacemethod.The presentformulationhasbeenvalidatedthroughcomparisonwithother similar works available in the open literature. Effects of two-parameter elastic foundation, gradient index, bonding imperfection, applied mechanical and electrical loads on the static and dynamic response of the functionally graded magneto-electro-elastic (FGMEE) plate are discussed.Itisworthytonotethatthepresentnovelexactformulationincludesallprevious solutions, such as piezoelectric, piezomagnetic, purely elastic solution, elastic foundation and interlayerslipproblems,as specialcases.Theobtainedexactsolutioncanbeused toassess the accuracyoflayeredFGMEEplatetheoriesand/orvalidatingfiniteelementcodes.
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