| DYNAMICAL FORMATION OF CAVITY FOR COMPOSED THERMAL HYPERELASTIC SPHERES IN NONUNIFORM TEMPERATURE FIELDS |
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| 作者姓名： | 程昌钧 梅波 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072，P. R. China，Department of Mechanics，Shanghai University，Shanghai 200444，P. R. China，Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China，Department of Mechanics，Shanghai University，Shanghai 200444，P. R. China |
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| 基金项目： | 中国科学院资助项目;上海市领先专业学科基金 |
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| 摘 要： | Dynamical formation and growth of cavity in a sphere composed of two incompressible thermal-hyperelastic Gent-Thomas materials were discussed under the case of a non-uniform temperature field and the surface dead loading. The mathematical model was first presented based on the dynamical theory of finite deformations. An exact differential relation between the void radius and surface load was obtained by using the variable transformation method. By numerical computation, critical loads and cavitation growth curves were obtained for different temperatures. The influence of the temperature and material parameters of the composed sphere on the void formation and growth was considered and compared with those for static analysis. The results show that the cavity occurs suddenly with a finite radius and its evolvement with time displays a non-linear periodic vibration and that the critical load decreases with the increase of temperature and also the dynamical critical load is lower than the static critical load under the same conditions.
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| 关 键 词： | 动力学组群 空穴 非均衡温度场 非线性周期振动 |
| 收稿时间： | 2004-06-30 |
| 修稿时间： | 2005-12-11 |
Dynamical formation of cavity for composed thermal hyperelastic spheres in non-uniform temperature fields |
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| Professor Chang-jun Cheng,Bo Mei.DYNAMICAL FORMATION OF CAVITY FOR COMPOSED THERMAL HYPERELASTIC SPHERES IN NONUNIFORM TEMPERATURE FIELDS[J].Applied Mathematics and Mechanics(English Edition),2006,27(4):443-452. |
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| Authors: | Professor Chang-jun Cheng Bo Mei |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P. R. China;Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Dynamical formation and growth of compressible thermal-hyperelastic Gent-Thomas cavity in a sphere composed of two inmaterials were discussed under the case of a non-uniform temperature field and the surface dead loading. The mathematical model was first presented based on the dynamical theory of finite deformations. An exact differential relation between the void radius and surface load was obtained by using the variable transformation method. By numerical computation, critical loads and cavitation growth curves were obtained for different temperatures. The influence of the temperature and material parameters of the composed sphere on the void formation and growth was considered and compared with those for static analysis. The results show that the cavity occurs stiddenly with a finite radius and its evolvement with time displays a non-linear periodic vibration and that the critical load decreases with the increase of temperature and also the dynamical critical load is lower than the static critical load under the same conditions. |
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| Keywords: | composed thermal-hyperelastic sphere non-uniform temperature field dynamical formation and growth of cavity nonlinear periodic vibration influence of temperature |
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