合理选择丁腈橡胶胶筒本构模型探讨  

REASONABLE SELECTION OF PACKER ELEMENTS CONSTITUTIVE MODEL FOR ACRYLONITRILE-BUTADIENE RUBBERS

作　　者：伍开松[1] 袁新生[2] 张元[2] 翟志茂[1] 古剑飞[1] 

机构地区：[1]西南石油大学机电工程学院,四川成都615000 [2]新疆石油管理局

出　　处：《西南石油大学学报（自然科学版）》2007年第5期141-144,共4页Journal of Southwest Petroleum University(Science & Technology Edition)

摘　　要：根据大变形橡胶理论和试验数据,利用最小二乘法原理,导出了确定橡胶本构模型系数的公式和评价本构模型优劣的公式。以两种封隔器胶筒材料—701#和29#丁腈橡胶的压缩试验数据为例,确定了二常数、三常数、五常数和九常数Mooney-Rivlin(简称M-R)本构模型和Yeoh三次幂本构模型的待定系数,进行了模型的误差评估和比较。结果表明:Yeoh三次幂本构模型拟合701#和29#材料试验数据能够满足精度要求,但M-R二常数本构模型误差太大;701#丁腈橡胶材料应选择M-R五常数以上本构模型;29#丁腈橡胶材料应选择三常数以上本构模型。The equations determining rubber constitutive model and evaluating the model are derived by application of the finite deformation theory of rubber, test data and the least square method. According to the compressive test data of packer elements of two acrylonitrile-butadiene rubbers( No.701 and No.29), the above equations are used to determine the suitable models of two-, three-, five-and nine-constant Mooney-Rivlin(M-R) models and three-power constitutive model, and the evaluation and comparision of error are done. The results show that the three-power Yeoh constitutive model is suitable for the test data of the material No.701 and No.29 but the two-constant M-R constitutive model is improper because of big errors. The material No.701 should use the five-constant or up M-R constitutive models. The material No.29 should use the three-constant or up M-R constitutive models.

关 键 词：封隔器胶筒 丁腈橡胶 本构模型 Mooney-Rivlin Yeoh 

分 类 号：TE831[石油与天然气工程—油气储运工程]