DYNAMICAL FORMATION OF CAVITY FOR COMPOSED THERMAL HYPERELASTIC SPHERES IN NONUNIFORM TEMPERATURE FIELDS  

作　　者：程昌钧 梅波 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics Shanghai University,Shanghai 200072,P. R. China [2]Department of Mechanics,Shanghai University,Shanghai 200444,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第4期443-452,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10272069)Shanghai Leading Academic Discipline Project (No.Y0103)

摘　　要：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.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.

关 键 词：composed thermal-hyperelastic sphere non-uniform temperature field dynamical formation and growth of cavity nonlinear periodic vibration influence of temperature 

分 类 号：O343[理学—固体力学]