{"title":"真实弹性体在小变形下的弹性特性","authors":"T. Takigawa, K. Urayama, S. Yamasaki, T. Masuda","doi":"10.1002/APMC.1996.052400118","DOIUrl":null,"url":null,"abstract":"Elastic properties of real elastomers were examined by using partial derivatives of the strain energy density function (W) with respect to the invariant (I i , i=1,2,3) of deformation tensor. The values of the derivatives at zero strain limit for styrene-butadiene rubber (SBR), nitrile-butadiene rubber (NBR) and butadiene rubber (BR) were compared with those derived from the theory shown in the previous paper, where compressibility of the materials was taken into account. The asymptotic behavior of the derivatives for isoprene rubber (IR) and segmented polyurethaneurea (SPU) was also compared with those of the three types of rubbers. It was shown that the theoretical predictions for the limiting value agreed fairly well with the experimental values of the elastomers.","PeriodicalId":7808,"journal":{"name":"Angewandte Makromolekulare Chemie","volume":"4 1","pages":"197-203"},"PeriodicalIF":0.0000,"publicationDate":"1996-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Elastic properties of real elastomers at small deformations\",\"authors\":\"T. Takigawa, K. Urayama, S. Yamasaki, T. Masuda\",\"doi\":\"10.1002/APMC.1996.052400118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Elastic properties of real elastomers were examined by using partial derivatives of the strain energy density function (W) with respect to the invariant (I i , i=1,2,3) of deformation tensor. The values of the derivatives at zero strain limit for styrene-butadiene rubber (SBR), nitrile-butadiene rubber (NBR) and butadiene rubber (BR) were compared with those derived from the theory shown in the previous paper, where compressibility of the materials was taken into account. The asymptotic behavior of the derivatives for isoprene rubber (IR) and segmented polyurethaneurea (SPU) was also compared with those of the three types of rubbers. It was shown that the theoretical predictions for the limiting value agreed fairly well with the experimental values of the elastomers.\",\"PeriodicalId\":7808,\"journal\":{\"name\":\"Angewandte Makromolekulare Chemie\",\"volume\":\"4 1\",\"pages\":\"197-203\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Angewandte Makromolekulare Chemie\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/APMC.1996.052400118\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Angewandte Makromolekulare Chemie","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/APMC.1996.052400118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
利用应变能密度函数(W)对变形张量的不变量(I I, I =1,2,3)的偏导数,研究了实际弹性体的弹性特性。将丁苯橡胶(SBR)、丁腈橡胶(NBR)和丁二烯橡胶(BR)在零应变极限下的导数值与考虑材料可压缩性的理论推导值进行了比较。对异戊二烯橡胶(IR)和分段聚氨酯(SPU)衍生物的渐近行为进行了比较。结果表明,理论预测的极限值与弹性体的实验值吻合较好。
Elastic properties of real elastomers at small deformations
Elastic properties of real elastomers were examined by using partial derivatives of the strain energy density function (W) with respect to the invariant (I i , i=1,2,3) of deformation tensor. The values of the derivatives at zero strain limit for styrene-butadiene rubber (SBR), nitrile-butadiene rubber (NBR) and butadiene rubber (BR) were compared with those derived from the theory shown in the previous paper, where compressibility of the materials was taken into account. The asymptotic behavior of the derivatives for isoprene rubber (IR) and segmented polyurethaneurea (SPU) was also compared with those of the three types of rubbers. It was shown that the theoretical predictions for the limiting value agreed fairly well with the experimental values of the elastomers.