橡胶Mooney-Rivlin模型中材料常数的确定-王伟

Mooney-Rivlin　,　,(,　266042)　:,Mooney-Rivlin。:;Mooney-Rivlin;;:TQ330.1　　　:A　　　:1005-4030(2004)04-0008-02:2004-04-21:　(1971-),,,,,。:　　2070,,MARC,。,,ANSYSABAQUS。。,。,、,,、,。,,。,Mooney-Rivlin,(Rivlin)。1　Mooney-Rivlin,,。2:1。,Rivlin。,Mooney-Rivlin。23。Ogden,PengPeng-Landel。,Mooney-Rivlin。W(I1,I2)=∑ni,j=0Cij(I1-3)i(I2-3)j(1):W,CijRivlin,I1,I21,2Green。I1=λ21+λ22+λ23(2)I2=(λ1λ2)2+(λ2λ3)2+(λ3λ1)2(3)1Mooney-Rivlin,neo-HookeanMooney-Rivlin[1],(1):W=C10(I1-3)(4)neo-HookeanMooney-Rivlin,1,20,。,40%90%,。2Mooney-Rivlin,(1):W=C10(I1-3)+C01(I2-3)(5),C10C01Rivlin,。,150%。,Yeoh[2]WI2WI1,(25　420048SpecialPurposeRubberProductsVol.25　No.4　　August2004),I1-3W3,。:W=C10(I1-3)+C20(I1-3)2+C30(I1-3)3(6),C10,C20,C30Rivlin,。2　,Mooney-Rivlin[3,4]。KirchofftijGreenγij,:tij=WI1I1γij+WI2I2γij+WI3I3γij(7),I3=1,(7)tiλi:ti=2(λ2iWI1+1λ2iWI2)+P(8),P。(8)3:t1-t2=2(λ21-λ22)(WI1+λ23WI2)(9)t2-t3=2(λ22-λ23)(WI1+λ21WI2)(10)t3-t1=2(λ23-λ21)(WI1+λ22WI2)(11),WI1,WI2WI1、I2,t(),σt=σλ。2.1　2Mooney-Rivlin2Mooney-Rivlin,(5),,I3=(λ1λ2λ3)2=1。,(9),Mooney-Rivlin-:σ2(λ-λ-2)=C10+C01λ(12)σ/[2(λ-λ-2)]1/λ。1/λ=1,C10+C01C01。G=2(C10+C01)。,E=6(C10+C01)1,E=9KG3K+G。,Mooney-Rivlin,[5]。,。2Mooney-Rivlin2,G=2(C10+C01)3。2.1.1　HA,E(MPa)=15.75+2.15HA100-HAC10=E6,C01=01neo-HookeanMooney-Rivlin。170±5A(HA),E5.76±1.28MPa,±22%。2.1.2　--,,2C10,C01=0neo-HookeanMooney-Rivlin。2.1.3　ASTM412,E,1C10。2.1.4　C10,C01,,。C01=0.25C10C10。6(C10+C01)=E,6(C10+0.25C10)=E,C10=E6×1.25。2.2　Yeoh31Yeoh3,-:σλ-λ-2=C10+4C20(I1-3)+6C30(I1-3)2(13):λ,I1=λ2+2λ-1-3。3-2004　　　Mooney-Rivlin9　　　　。,Her-rmann,。MARCMooney-RivlinOgden,--,,。,-。3　,2Mooney-RivlinYoeh3,。,,,。:[1]　YeohOH.Someformsofthestrainenergyforrubber[J].RubberChemicalandTechnology,1993,66(5):754～771.[2]　YeohOH.Characterizationofelasticpropertiesofcarbonblakfilledrubbervulcanization[J].RubberChemicalandTechnolo-gy,1990,63(5):792～805.[3]　CharltonDJ,YangJ.Areviewofmethodstocharacterizerubberelasticbehaviorforuseinfiniteelementanalysis[J].RubberChemicalandTechnology,1994,67(3):481～503.[4]　FarhadTabaddor.Elasticstabilityofrubberproducts[J].RubberChemicalandTechnology,1987,60(5):957～965.[5]　GentAN.EngineerwithRubber-HowtoDesignRubberCom-ponents[M].2000.259～275.DeterminationforMaterialConstantsofRubberMooney-RivlinModelWANGWei,DENGTao,ZHAOShu-gao(QingdaoUniversityofscience&technology,Qingdao　266042,China)Abstract:Severalmethods,obtainingmaterialconstantsofrubberMooney-RivlinModel,werediscussedinthispaper,soastouesthoseconstantsfornonlinearfiniteelementanalysis(FEA)ofrubberproducts.Key　Words:rubber;Mooney-Rivlinmodel;nonlinearFEA;materialconstants国外动态,,420。,,,20033。,、、,。IAL,200334.3t,3.7%。2008,41t。,。。,。24%,22%,21%。10　　　25　4