Analytical solutions to edge effect of composite laminates based on symplectic dual system

(整期优先)网络出版时间:2011-09-19
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Inthesymplecticspacecomposedoftheoriginalvariables,displacements,andtheirdualvariables,stresses,thesymplecticsolutionforthecompositelaminatesbasedonthePipes-Paganomodelisestablishedinthispaper.Incontrasttothetraditionaltechniqueusingonlyonekindofvariables,thesymplecticdualvariablesincludedisplacementcomponentsaswellasstresscomponents.Therefore,thecompatibilityconditionsofdisplacementandstressatinterfacescanbeformulatedsimultaneously.Afterbeingintroducedintothesymplecticdualsystem,theuniformschemes,suchastheseparationofvariablesandsymplecticeigenfunctionexpansionmethod,canbeimplementedconvenientlytoanalyzecompositelaminateproblems.Ananalyticalsolutionforthefreeedgeeffectofcompositelaminatesisobtained,showingtheeffectivenessofthesymplecticdualmethodinanalyzingcompositelaminates.