橡胶类超弹性本构模型中材料参数的确定  

Determination of Material Parameters for Rubberlike Hyperelastic Constitutive Models

作　　者：燕山[1] 王伟[1,2] 

机构地区：[1]青岛科技大学橡塑材料与工程教育部重点实验室,山东青岛266042 [2]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《橡胶工业》2014年第8期453-457,共5页China Rubber Industry

基　　金：国家自然科学基金资助项目(21274072;51151103077);工业装备结构分析国家重点实验室开放基金资助项目(GZ1213)

摘　　要：采用单轴拉伸、等双轴拉伸及平面剪切下橡胶材料试验数据的4种不同组合方式分别对主要用于表述橡胶超弹性的Yeoh模型和Ogden三阶模型进行拟合,并得出两种模型的材料参数。建立单轴拉伸、等双轴拉伸及平面剪切试验的有限元模型,探究1种仅仅借助单轴拉伸试验数据并结合其他2种试验有限元模型预测结果,进行橡胶类本构模型参数拟合的新方法。结果表明:选用Yeoh模型时,利用单轴拉伸和等双轴拉伸组合方式可获得较理想的材料参数;在只具备单轴拉伸试验数据的条件下,利用单轴试验数据和等双轴有限元模型预测数据的组合方式在低应变区用Yeoh模型拟合得到的材料参数较可靠;Ogden三阶模型较Yeoh模型精度高,但计算效率低且不易收敛。The material parameters of Yeoh model and third order Ogden model, which were mainly used to characterize the hyperelastic behavior of rubber,were obtained by four different combinations of the uniaxial tension, biaxial tension and planar shear test data. The finite element models for the uniaxial tension,biaxial tension and planar shear experiments were established. Then a new method was explored to obtain the constitutive parameters for the rubberlike material by using the uniaxial tension test data in combination with the simulated results of biaxial tension and planar shear test from the finite element models. It was found that the fitting parameters of Yeoh model by using the combi- nation of the uniaxial and biaxial tension test data were good. With the combination of uniaxial tension test data and simulated biaxial tension results,the fitting parameters of Yeoh model were only reliable in the low strain zone. The third order Ogden model had much higher prediction precision than Yeoh model. However,the Ogden model parameters from the finite element model had lower computation efficiency than that of Yeoh model,and it easily created the difficulty of convergence.

关 键 词：超弹性材料本构模型 单轴拉伸 等双轴拉伸 平面剪切 有限元模型 

分 类 号：TQ334[化学工程—橡胶工业]