拟合橡胶类材料非等双轴变形数据的显式超弹性势  

Explicit Form of Elastic Potentials Matching General Biaxial Test Data for Elastomers

作　　者：李浩[1] 章宇雨[1] 肖衡[1] 

机构地区：[1]上海大学,上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2013年第5期470-479,共10页Applied Mathematics and Mechanics

基　　金：国家教委211工程科研启动基金;上海大学创新基金资助项目(A.15-B002-09-032;A.10-0401-12-001)

摘　　要：基于样条插值的直接方法,构造精确符合单轴和等双轴拉伸数据以及剪切数据的大变形超弹性势,给出显式表达式,避免了现有各方法寻求待定参数组达到近似拟合的复杂计算过程;推导了一般变形情形下的应力应变关系,对非等双轴拉伸实验进行了预测,并与Rivlin和Saunders的非等双轴拉伸实验数据进行了对比,预言结果与实验数据一致.A direct approach was proposed to construct elastic potentials that exactly match uniaxial data and shear data based on spline interpolation. Explicit expressions were presented toward bypassing complicated numerical procedures in identifying unknown parameters. Pre-dictions for the two normal stresses of biaxial test were derived and compared with Rivlin and Saunders＇ data in 1951. Good agreement was achieved.

关 键 词：橡胶类材料 超弹性势 对数应变 样条插值 非等双轴变形 

分 类 号：TU581.22[建筑科学—建筑技术科学] O343.5[理学—固体力学]