摘要
以温度和位移为未知变量,建立了当内壁面受到随时间任意分布的热和力联合冲击作用时,含球型空腔无限弹性介质的球对称热传导和热动力响应模型;利用拉普拉斯变换法,导出了温度和位移的封闭解表达式。简要分析了位移表达式的特点与意义;作为特例。
This paper establishes a model of heat conduction and thermo dynamic responses of a spherical cavity under shocks of both heat and pressure whose distributions versus time are arbitrary.By using Laplace transform method,it deduces the closed form formulas of temperature and radial displacement of the cavity.It also briefly analyzes the meanings of the displacement expression.As special examples,the present solutions can be simplified to the solution of the responses of a spherical chamber on the uniform pressure pulses.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2000年第1期68-73,共6页
Explosion and Shock Waves
基金
国家自然科学基金!项目(19672059)
关键词
球型空腔
爆炸
热传导
热力联合冲击
封闭解
spherical cavity
explosion
heat conduction
thermo dynamic response
