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| 不可压超弹性材料中微孔增长的定性分析 | |
| 引用本文： | 袁学刚,张若京,时桂枝.不可压超弹性材料中微孔增长的定性分析[J].同济大学学报(自然科学版),2005,33(12):1660-1663. |
| 作者姓名： | 袁学刚 张若京 时桂枝 |
| 作者单位： | 1. 同济大学,固体力学教育部重点实验室,上海,200092;烟台大学,数学与信息科学系,山东,烟台,264005 2. 同济大学,固体力学教育部重点实验室,上海,200092 3. 烟台大学,数学与信息科学系,山东,烟台,264005 |
| 基金项目： | 国家自然科学基金资助项目（10272084） |
| 摘 要： | 研究了在表面拉伸死载荷的作用下，一类含有微孔的横观各向同性不可压超弹性球体的有限变形问题，对球体内部微孔的增长进行了定性分析，得到了描述微孔增长量与拉伸死载荷平衡关系的方程；然后讨论了材料参数、微孔半径对微孔增长的影响；并且利用最小势能原理，证明了在某些情形下微孔增长的跳跃性；最后给出了数值算例． |
| 关 键 词： | 不可压超弹性材料 有限变形 最小势能原理 稳定性 |
| 文章编号： | 0253-374X（2005）12-1660-04 |
| 收稿时间： | 12 5 2004 12:00AM |
| 修稿时间： | 2004-12-05 |
Qualitative Analysis of Growth of Micro-Voids in Incompressible Hyperelastic Materials |
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| YUAN Xue-gang,ZHANG Ruo-jing,SHI Gui-zhi.Qualitative Analysis of Growth of Micro-Voids in Incompressible Hyperelastic Materials[J].Journal of Tongji University(Natural Science),2005,33(12):1660-1663. | |
| Authors: | YUAN Xue-gang ZHANG Ruo-jing SHI Gui-zhi |
| Institution: | 1. Key Laboratory of Solid Mechanics of the Ministry of Education, Tongji University, Shanghai 200092 ,China; 2. Department of Mathematics and Informational Science, Yantai University,Yantai 264005, China |
| Abstract: | A finite deformation problem was examined for a class of incompressible, transversely isotropic about radial direction, and hyperelastic spheres with micro-void under a uniform tensile deadload. A qualitative analysis was carried out for the growth of micro-void in the interior of the sphere. An equation that describes the equilibrium relationship between the measure of void growth and the tensile dead-load is obtained. The effect of material parameter, radius of void on growth of micro-void is then discussed. In certain cases, it is proved that void growth is jumping by using the minimum potential principle. Finally, some numerical examples are given. |
| Keywords: | incompressible hyperelastic material finite deformation minimal potential energy principle stability |
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