| INSTABILITY OF TOROIDAL MEMBRANE WITH LARGE TENSILE DEFORMATION |
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| 作者姓名： | 尚新春 程昌钧 |
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| 作者单位： | Department of Mechanics，Lanzhou University，Lanzhou，Department of Mechanics，Lanzhou University，Lanzhou |
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| 基金项目： | The project supported by the State Education Commisson of the People’s Republic of China |
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| 摘 要： | In this paper,the problem of large axisymmetric deformation of hyperelasticmembrane is reformulated on the basis of the general theory of finite elasticity.From thefundamental equations derived here,the tensile instability of toroidal rubberlike membranewith Mooney-Rivlin’s model constitutive relation is solved by using the shooting method.The upper and lower limit loads and the response curve of the displacement to the load aregiven.
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| 收稿时间： | 22 September 1990 |
Instability of toroidal membrane with large tensile deformation |
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| Xin-chun,Shang,Chang-jun,Cheng.INSTABILITY OF TOROIDAL MEMBRANE WITH LARGE TENSILE DEFORMATION[J].Applied Mathematics and Mechanics(English Edition),1991,12(6):557-564. |
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| Authors: | Xin-chun Shang Chang-jun Cheng |
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| Institution: | (1) Department of Mechanics, Lanzhou University, Lanzhou |
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| Abstract: | In this paper, the problem of large axisymmetric deformation of hyperelastic membrane is reformulated on the basis of the general theory of finite elasticity. From the fundamental equations derived here, the tensile instability of toroidal rubberlike membrane with Mooney-Rivlin's model constitutive relation is solved by using the shooting method. The upper and lower limit loads and the response curve of the displacement to the load are given. |
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| Keywords: | hyperelasticity large deformation fundamental equation shooting method tensile instability |
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