Sol Materials Science and EngineeringCH16.pdf

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1、16-1CHAPTER16COMPOSITESPROBLEMSOLUTIONSLarge-ParticleComposites16.1TheelasticmodulusversusvolumepercentofWCisshownbelow,onwhichisincludedbothupperandlowerboundcurves;thesecurvesweregeneratedusingEquations16.1and16.2,respectively,aswellasthemoduliofelasticityforcobaltandWCgivenintheproblemstatement

2、.Excerptsfromthisworkmaybereproducedbyinstructorsfordistributiononanot-for-profitbasisfortestingorinstructionalpurposesonlytostudentsenrolledincoursesforwhichthetextbookhasbeenadopted.AnyotherreproductionortranslationofthisworkbeyondthatpermittedbySections107or108ofthe1976UnitedStatesCopyrightActw

3、ithoutthepermissionofthecopyrightownerisunlawful.16-216.2ThisproblemasksforthemaximumandminimumthermalconductivityvaluesforaTiC-Nicermet.UsingamodifiedformofEquation16.1themaximumthermalconductivitykiscalculatedasmaxk=kV+kV=kV+kVmaxmmppNiNiTiCTiC=(67W/m-K)(0.10)+(27W/m-K)(0.90)=31.0W/m-KUsingamodi

4、fiedformofEquation16.2,theminimumthermalconductivitykwillbeminkkk=NiTiCminVk+VkNiTiCTiCNi(67W/m-K)(27W/m-K)=(0.10)(27W/m-K)+(0.90)(67W/m-K)=28.7W/m-KExcerptsfromthisworkmaybereproducedbyinstructorsfordistributiononanot-for-profitbasisfortestingorinstructionalpurposesonlytostudentsenrolledincourses

5、forwhichthetextbookhasbeenadopted.AnyotherreproductionortranslationofthisworkbeyondthatpermittedbySections107or108ofthe1976UnitedStatesCopyrightActwithoutthepermissionofthecopyrightownerisunlawful.16-316.3Giventheelasticmoduliandspecificgravitiesforcopperandtungstenweareaskedtoestimatetheupperlimi

6、tforspecificstiffnesswhenthevolumefractionsoftungstenandcopperare0.70and0.30,respectively.Therearetwoapproachesthatmaybeappliedtosolvethisproblem.Thefirstistoestimateboththeupperlimitsofelasticmodulus[E(u)]andspecificgravity(ρ)forthecomposite,usingexpressionsoftheformofEquation16.1,ccandthentaketh

7、eirratio.UsingthisapproachE(u)=EV+EVcCuCuWW=(110GPa)(0.30)+(407GPa)(0.70)=318GPaAndρ=ρV+ρVcCuCuWW=(8.9)(0.30)+(19.3)(0.70)=16.18ThereforeEc(u)318GPaSpecificStiffness===19.65GPaρ16.18cWiththealternateapproach,thes