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21 2Vol.21No.220074CHINESEJOURNALOFMATERIALSRESEARCHApril2007∗
( 710072),,
.VC++SolidWorks,,◦◦.2535,2×43×3,
30%40%.,,
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5%.!".#$%,,!,&"(TP391,TS105)*+(1005-3093(2007)02-0161-05Geometricsimulationofholesinpreformoffour–step3DbraidedcompositeZHANGMeizhongLIHejun∗∗LIKezhi(KeyLaboratoryofSuperHighTemperatureComposites,NorthwesternPolytechnicalUniversity,Xian710072)*SupportedbyNationalNaturalScienceFoundationofChinaNo.50072019,andtheNationalNaturalScienceFoundationofChinaforDistinguishedYoungScholarsNo.50225210.ManuscriptreceivedApril28,2006;inrevisedformSeptember24,2006.**Towhomcorrespondenceshouldbeaddressed,Tel:(029)88495004,Email!lihejun@nwpu.edu.cnABSTRACTAccordingtothefour-stepbraidingpatternandthecross-sectionalvariationoftheyarn,thediscretedigitalelementapproachforcharacterizingorientationoftheyarninthepreformwasproposed.Atthesametime,UsingVisualC++andSolidWorksAPI,thesoftwarewasprogrammedwhichcanautomaticgeneratethestructureofholesextendamongyarnswithinthethree-dimensionbraidedpreformandcalculatetheirvolumes.Theholesinthepreform,withthebraidedangle25◦and35◦,thefractionvolumeoffiber30%and40%,andthenumberofrowsandcolumns2×4and3×3,weresimulatedandcalculatedrespectively.Therelativeerrorbetweenthesimulatedandtheoreticalholesvolumeislessthan5%.Theresultsindicatedthatwiththebraidedangleorfibervolumefractionincreasing,volumeandareaoftheholeswithinthepreformbecamesmaller,buttheholesareapervolumeincreased.KEYWORDScomposites,3Dbraidedcomposites,computersimulation,holes[4∼7]"!#"!"$%##$%$.2#;%/#1%.334012*-.!&"%""(#)%*%.#&,!#53!)$%,+<323#.64,314=5"(,"!$#!)+&*"!#+&,!50135"!46!)$%#560*")""!#"$"(#%"&".()#"/+77#>?-1Æ@,+A-.!!)[1∼3][8,9]%.*#+#,/,"(/+#,0$%-#7)01.89""(+BC61$,-.!#!)$%#()2!&..*08:78#;<=>$%,D4"?<=>$%7)$##.901-.!$[10∼14],*%:;$>+9:;:9$("77"34-"(/5650072019347)*5650225210./+."!$!)CF$%#.2006*428,0+,8;2006*924,0+18.<<=G:>>"1?@#?H;,@3-1-.:/90,:27AB+<=C?@#01,$(7!?7AA!
16221 2+7A"I*?@B>C?D"7714-.!4;?@7AB#A/BD,CJ@3BKEDC@D?@F@A/A?@LMGE#N-,3VC++#770O$HPSolidWorksEQI"77#FG,A//H*L77J!)#!2*)2#14,JF35GK7!?Æ(AII"77"#-.!46!)+&A,*L#JK,*"-.!4!)$>#OHLR"K.1012345678112^_fb1.1Fig.1Tracediagramofshuttle(12):01;<256>?AC>>"1#;Æ"MS5+*>>,L;>,?MMIN>$>Q;LO>,?MMIN>$>Q;L>,?M#>Q0NL;>O.,L>>LO>O..TJ>>,ME#JIPPQOI,Q*;Æ"MS.#"JR$,?MF>>,-.!#FN(zN)NU;ÆVW#S%p.-.!#"MS$ITO"FNRS.#=C#"JR$,;Æ?MP?@OGXV#Q@YW,X46YKS&ZZ[*PP,",Q*;ÆÆMS.#[m×n]0SD#"2^_(12)Wh^afbhbUXJR$,?M12S?@TJ#?Y#TLFig.2Planeprojectionoftheyarntakenbytheshut-U(xyL)#"W1SK.G:>>"1,tle(12)S&?M*PP,"BDST#>7OI."7!?*[m×n]#-.!,5[?YOKVY@.89?@+=CW%!,ZZBKVY@I#?M+EGM:G=mn/(m,n#HL^7)46!@2deJ%,#TL"U)5*46?M*PP,"BDQST#>7N5)s?@#?YZZaBKVY@#"(f)K*OX(2).dOQ?MK#Y<*d,Z)I6Ns=4N/G(1)af#C?*√∗2#$N=mn+m+n,m,n*7!?7._X?MR=μd,0<μ<≤1(2)2#?Y?M12OI.1.22356>?AC#$μ*?@[ZMG,"&.#.7."?@#?MP(E4?,?M""223MNPQ?@#?7*N]NI3,#BD/""?@2.1RST[@7).b?0Nc46;#KIa,?M#ROQZZ#7703!O$$,L#77+.g.N-:a[?;>[@b?0Nc46.64,#KI(1)S&?@OI,?@#@%OI;a5ÆE+8RÆd!#6$%ÆE.#ZZa,?@#e?@"#MG,$()?@3(2)#;V#S%4"/+eV,?@6MG[16],]5JT*ZZa?@#BK?Y*BbjE.
2]^k:fgl_`ah_ihhimb163[16]#SCFanCFb#..*√a=b3cosγ(3)#$γ+46?@"F(zF)#jI.8Uj+95c,"97!?*[m×n]#-.!,S&?@?Y"5?M?Y";E+EGM,I;M?@#7PBDOo;Æ"MS.ddc;M?@#$;G?@#BK%,]5jS&?@#BK%.B?@Æ+JR,l"LI*8x,yFÆE#TL,"!#FNI*zF.ZLiÆA/BD#/H*pi=[xiyizi],i=1,2,···,k(4)G:"H;,G;A/#"L$#R/H,*A/BK#x,y/H.A/#z/H*OG"!ZNVWRSFN/H.l;G?@#Ns>"[#FNS%+EnD+,Æ;D+I*OQA/#z/HN>;lNs>"[#"L$S%e+EnD+,;D+/#/HI*"2A/#x,y/H.?MFNs>[9PIE#MS,-.!#$%*?@#BK"9P(".64,h)14Ns>"?@#/H5)KGKS%#-.!.2.2PQVW[]4^_<01T`23U5pjsmk3XY4abFig.5TheflowchartofAPI7!?7*[m×n]#-.!m&NG?@.#Ri#35JR$,G:?@#Mi*M?@7/dVy,Vs*-.!*?@#!2,ε*?@4A"o;Æ=cMS#l/,5Jn0"A/#14.$6E,Zd,p,ε"77#..W(:;M?@h14#$;G?@F@#A//H,#j∗1?@#A//Hk:#P?M#"UJI#Vy=Wx∗Wy∗Ns4p(5)BDz/HdNU#l/,[x,y/HkcO2#D+/eA,jz/HJfI*7/NU.#R#$igRW4SK.Wx=d[(m−1)+2R]+2b#"JR$,7!?7A"I(α)A?@#B>!?Dy*A!2+7(vf)+7)#"77.Wy=d[(n−1)+2R]+2b
16421 8bp=√(6)$%tde=C#W%?@#BKFN.#Solid-2tanαWorksE,G:;V#L775n>?@3!,OVs=(m∗n+m+n)∗l∗π∗a∗b(7)H-.!!)#CF$>.<<#SolidWorksSvs=Vs/Vy=vf/ε(8)l(E"!!)$%$%#Ri98.3Z#0$8pq"77j?RE"2-.!4#!ε=D2/4ab(9)y)CF3!.#&mRinW5SK.*Nr!)q&B"($"!+&,$%#ddcOQ?MKYA"IAA!2+7A!)3!#!214#SAo0N#RuaÆb.7!?7,Ze(n#μ,8$(5)∼(9)514tA;ÆÆMS#"77$%!)$rW)1S//H.3K,$%!)#!2pA#O"soL95%.$efg4hi%!)#3!W6SK.G:?@F@#A//H*+<#&o7A:8$%$r5JÆt,B7!?7A?@B>CB,l#3EDC@%(E=C#BKC@,5?*"IIbQ,tGA!2+7NU,"k1l_vu_ihqropstoTable1BraidedparametersandcomparisonbetweenthetheoreticalandsimulatedvaluesofholesNumberofFiberHolesBraidedHolesHolesAreaperRelativeSamplerowsandvolumetheoryangleareaVolumevolumeerrorNo.columnsfractionvolume/(◦)/mm2/mm3/(mm2/mm3)/%[m×n]/%/mm312×425301708.73310.105.51296.344.622×435301359.94235.355.79224.105.032×435401018.40153.306.65147.244.143×325301451.23265.085.45256.673.253×325401102.25168.956.52161.104.863×33540898.55135.336.63129.274.7p6qr_ihFig.6Simulatedholesstructure.Thenumberofrowsandcolumns,braidedangle,andfractionvolume◦◦◦◦offiberarerespectively(a)2×4,25,30%;(b)2×4,35,30%;(c)2×4,35,40%;(d)3×3,25,◦◦30%;(e)3×3,25,40%;(f)3×3,35,40%
2]^k:fgl_`ah_ihhimb165-.!$#!)!2)2tL,:B!2)4B.Narayana,A.E.Edward,AreducedreactionofcarbonCVD/CVIprocesses,Carbon,40,675(2002)2NU,!)!2)2tL,KvG!)#5R.P.Currier,Overlapmodelforchemicalvaporinfiltration"-.!$#BKq&u(u;j:B!2)ofcarboninporouscarbonsubstrates,Carbon,29(3),3872NU,w!)#Lv,8R@b.$((1991)6b∼6e5c,tGA!2+7NU,!)#L86T.L.Starr,Gastransportmodelforchemicalvaporinfil-R@b,8+C?*!2+7IbQ,tG"INporinfiltrationinfabricationofceramiccomposites,J.U"-.!$#!)!2)2tL,IQAm.Ceram.Res.,72(3),414(1989)!)&+<#OZ;$(6a,6b*6e,6f5JÆ8F.Robitaile,A.C.Long,I.A.Jones,C.D.Rudd,Automati-t,"IN,O-.!FN!)wtL,IQ!callygeneratedgeometricdescriptionsoftextileandcom-)&+<#OZ;]r!):B!2)2NU#7positeunitcells.Composites:PartA,34,303(2003))6+!)#,8RN@b.II7!?7-.9T.S.Lundstrom,B.R.Gebart,Effectofperturbationoffi-brearchitectureonpermeabilityinsidefibretowJ.Com-!#!)t"IA!2+7#b0H;"C?*"IIbQ,braidedstructuresforcompositematerials–part}:fabrictGA!2+7NU"-.!$#!)structuresandfibrevolumefraction,CompositeStruc-,b0I,ywtL,BKq&u(u.tures,49,451(2000)(4)B7!?7A?@B>C?*!2+7Ib12Y.Q.Wang,X.K.Sun,Digital–elementsimulationoftex-tileprocesses,CompositesScienceandTechnology,61,Q,tG"INU"-.!$#!)O-.311(2001)!FN!)wtL,IQ!)&+<#OZ.#"13W.Sun,F.Lin,X.Hu,Computer–aiddesignandmodeling!#"$JR$,+<#!)wuEz!.ofcompositeunitcells,CompositesScienceandTechnol-ogy,61,289(2001)no)p14ZHANGMeizhong,LIHejun,LIKezhi,Simulationofpre-1K.Z.Li,H.J.Li,J.Y.Jiang,X.H.Hou,Numericalsimulationformsin3–Dbraidedcarbon/carboncomposites,Journalofisothermalchemicalvaporinfiltrationprocessinfabrica-ofMaterialsScience&Engineering,22(5),634(2004)tioncarbon–carboncompositesbyfiniteelementmethod,(}~,/90,/xw,/}ScienceinChina(SeriesE),43(1),77(2000)2H.J.Li,J.Y.Jiang,K.Z.Li,Optimizingparametersof,(/~~/|,22(5),634(2004))15CHENLi,LIJialu,LIXueming,AnalysisoftheyarnCVIprocessformanufacturingcarbon–carboncompos-movementin3Dbraids,ActaMateriaeCompositaesinica,itesbygeneticalgorithms,MaterialsLetter,57(16-17),19(2),71(2002)2366(2003)(~,/,//,~,3ZHAOJianguo,LIKezhi,LIHejun,EffectoffibervolumefractionandthermaltreatmentonthepropertiesofC/C/|,19(2),71(2002))composites,ChineseJournalofMaterialsResearch,19(3),16L.Chen.,X.M.Tao,C.LChoy,Mechanicalanalysisof293(2005)3–Dbraidedcompositesbythefinitemultiphaseele-(mentmethod,CompositesScienceandTechnology,59,v3,/xw,/90,wyz{x/x391(1999)xyy,z{/|,19(3),293(2005))