摘要
讨论了对带有n个共线裂纹的薄板,在无穷远处加载电流实施止裂时板内的温度场和应力场。文中利用了复变函数的方法计算得到了电流场、温度场和应力场的分布状态。计算中考虑了材料热传导系数、线胀系数、弹性模量随温度的变化。作为算例,以带有两个共线裂纹、牌号为2132GH的高温合金制成的薄板进行了计算,给出了应力、温度与加载的电流密度及裂纹尺寸的关系;分析了导热系数随温度的变化对温度场数值的影响。
The temperature and stress fields in a thin plate with collinear cracks are determined when an electric current is activated to stop crack propagation at remote distance from the cracks. A complex function method is used to find the distribution of the electric current, temperature and stress fields. Temperature dependency for the heat-transfer coefficient, linear expansion coefficient and the elastic modulus are considered. As an example, the temperature and stress fields of a high temperature alloy (No.GH2132) plate with two collinear cracks are calculated. Relationships between the stress, temperature, electric current density and crack size are obtained. The effect of variation of the heat conductivity factor with temperature on the temperature field is also discussed.
出处
《工程力学》
EI
CSCD
北大核心
2003年第5期70-75,共6页
Engineering Mechanics
基金
国家自然科学基金资助项目(50275128)
关键词
热-磁-弹性耦合
裂纹止裂
复变函数
应力场
导电薄板
Crack propagation
Cracks
Elastic moduli
Electric currents
Heat transfer coefficients
Stresses
Temperature
