| 两个组合热超弹性球体中空穴的动态生成 |
| |
| 引用本文： | 梅波,程昌钧. 两个组合热超弹性球体中空穴的动态生成[J]. 上海大学学报(自然科学版), 2004, 10(4): 376-380 |
| |
| 作者姓名： | 梅波 程昌钧 |
| |
| 作者单位： | 上海大学,上海市应用数学和力学研究所,上海,200072;上海大学,上海市应用数学和力学研究所,上海,200072 |
| |
| 基金项目： | 国家自然科学基金资助项目 (1 0 2 72 0 6 9)，上海市重点学科资助项目 |
| |
| 摘 要： | 该文研究了由两个不可压热超弹性球体组合而成的物体在突加表面均布拉伸载荷作用下空穴的动态生成问题．除了一个平凡解外，当外加载荷超过某个临界值时，物体内部存在一个空穴生成，并且得到了外加载荷和空穴半径之间的一个精确微分关系．数值计算表明，空穴发生非线性周期振动，并给出了几种情况下空穴生成的临界载荷值以及空穴振动的相图，讨论了温度参数等对空穴生成的影响．
|
| 关 键 词： | 组合热超弹性材料 有限变形动力学 空穴的动态生成 非线性周期振动 |
| 文章编号： | 1007-2861(2004)04-0376-05 |
| 修稿时间： | 2003-08-20 |
Dynamical Cavitation in Spheroid Composed of Two Incompressible Thermal Hyperelastic Materials |
| |
| MEI Bo,CHENG Chang-jun. Dynamical Cavitation in Spheroid Composed of Two Incompressible Thermal Hyperelastic Materials[J]. Journal of Shanghai University(Natural Science), 2004, 10(4): 376-380 |
| |
| Authors: | MEI Bo CHENG Chang-jun |
| |
| Abstract: | Dynamical cavitation in a spheroid composed of two incompressible thermal-hyperelastic Gent-Thomas materials under boundary dead-loading is examined. Besides a trivial solution, cavity (exists) in the sphere when the dead-loading is beyond the critical value. An accurate differential relation between the dead-loading and the radius of (cavity) is obtained. Numerical computation shows that (cavity) occurs in a manner of non-linear periodic vibration. In some cases critical value of cavity and phase diagram of cavity vibration are obtained. The effect of parameters ((e.g.) temperature) on the forming of cavity is also discussed. |
| |
| Keywords: | thermal-hyperelastic body dynamics of finite deformation dynamical growth of cavity nonlinear periodic vibration |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
