含中心裂纹正交各向异性板均匀热流作用下的温度场解析解  

ANALYTICAL SOLUTIONS OF TEMPERATURE FIELDS FOR AN ORTHOTROPIC PLATE WITH A CENTRAL CRACK UNDER REMOTE UNIFORM HEAT FLOWS

作　　者：唐雪松[1] 

机构地区：[1]长沙理工大学桥梁与结构工程学院,湖南长沙410076

出　　处：《工程力学》2007年第3期28-33,41,共7页Engineering Mechanics

摘　　要：研究了含中心裂纹的正交各向异性板,在远场均匀热流作用下温度场的分布。考虑了两种温度边界条件,即裂纹表面分别维持恒定的温度与恒定的温度梯度,包括了绝热裂纹与导热裂纹等情况。采用各向异性热弹性理论与复变函数理论,得出了精确满足给定边界条件的温度场的全场解析解。算例中的温度场分布数值结果,出现了一些新的现象,值得进一步进行深入理论探讨与实验观测的证实。The temperature fields for an orthotropic plate with a central crack under the remote uniform heat flows are investigated. Two new temperature boundary value problems are solved. One is the constant temperature on the crack surface. Another is the constant temperature gradient on the crack surface, which includes the insulated and uninsulated crack cases. The full-field analytical solutions of the temperature fields are obtained by applying the anisotropic thermoelastic theory and the complex function theory. The solutions satisfy the given boundary conditions. The numerical results show some new phenomena. It is necessary to have the in-depth theoretical analysis and experimental investigation.

关 键 词：热弹性力学 裂纹 温度场 正交各向异性板 解析解 

分 类 号：O346.1[理学—固体力学]