可压缩层合橡胶材料构成的柱壳的有限变形问题  

Finite Deformation Problem of a Cylindrical Shell Composed of Composite Rubber Materials

作　　者：牛大田[1] 高洋[1] 杨文美[1] 

机构地区：[1]大连民族学院理学院,辽宁大连116605

出　　处：《大连民族学院学报》2011年第5期469-471,共3页Journal of Dalian Nationalities University

基　　金：国家自然科学基金资助项目(110010391;0872045)

摘　　要：以非线性弹性力学的有限变形理论为基础,建立了一类可压缩橡胶材料组成的层合柱壳受内外径向压力时的对称径向有限变形问题数学模型,得到了柱壳的径向变形方程组,并由此得到了模型的参数型解析解,最后给出了确定参数的有效途径。Based on the finite deformation theory of elasticity mechanics, the mathematical model that describes the deformation problem of a cylindrical shell composed of two classes of compressible rubber materials subjected to inner and outer radial pressure has been established, and the equations of the radial deformation has been developed. Then, the analytic solution of parametric type of the model has been in hand, and the approach to determine the parameters has been provided.

关 键 词：可压缩超弹性材料 应变能函数 平衡微分方程 非线性微分方程组 边界条件 参数型解析解 

分 类 号：O241[理学—计算数学]