资源描述：
《auxetic black phosphorus a 2d material with negative poisson’s ratio》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、AuxeticBlackPhosphorus:A2DMaterialwithNegativePoisson’sRatio1,31,3,4,1,32,32,3,YuchenDu,JesseMaassen*,WangranWu,ZheLuo,XianfanXu*,andPeideD.1,3,Ye*1SchoolofElectricalandComputerEngineering,PurdueUniversity,WestLafayette,Indiana47907,UnitedStates2SchoolofMechanicalEngineering,PurdueUniversity,W
2、estLafayette,Indiana47907,UnitedStates3BirckNanotechnologyCenter,PurdueUniversity,WestLafayette,Indiana47907,UnitedStates4DepartmentofPhysicsandAtmosphericScience,DalhousieUniversity,Halifax,NovaScotia,Canada,B3H4R2*Addresscorrespondenceto:yep@purdue.edu(P.D.Y.);xxu@ecn.purdue.edu(X.X.);jmaass
3、en@dal.ca(J.M.)1ABSTRACTThePoisson’sratioofamaterialcharacterizesitsresponsetouniaxialstrain.MaterialsnormallypossessapositivePoisson’sratio-theycontractlaterallywhenstretched,andexpandlaterallywhencompressed.AnegativePoisson’sratioistheoreticallypermissiblebuthasnot,withfewexceptionsofman-mad
4、ebulkstructures,beenexperimentallyobservedinanynaturalmaterials.Here,weshowthatthenegativePoisson’sratioexistsinthelow-dimensionalnaturalmaterialblackphosphorus,andthatourexperimentalobservationsareconsistentwithfirstprinciplessimulations.Throughapplicationofuniaxialstrainalongzigzagandarmchai
5、rdirections,wefindthatbothinterlayerandintralayernegativePoisson’sratioscanbeobtainedinblackphosphorus.Thephenomenonoriginatesfromthepuckeredstructureofitsin-planelattice,togetherwithcoupledhinge-likebondingconfigurations.2MAINTEXTWhenamaterialisstretchedinonedirectionbyΔL,asdepictedinFigure1a
6、,itusuallytendstocontractintheothertwodirectionsperpendiculartothedirectionofstretching.Similarly,whenamaterialexperiencesacompressiveforce,itexpandslaterallyinthedirectionsperpendicularto1,2thedirectionofcompression.Inbothcases,themagnitudeofdeformationisgovernedbyoneofthefundamentalmechanica
7、lpropertiesofmaterials,theso-calledPoisson’sratio.ThePoisson’sratioofamaterialdefinestheratioofthetransversecontractiontothelongitudinalextensioninthedirectionofthestretchingforce.Specifically,itquantitativelyexplainshowmuchamaterialbec
