摘要
边界积分方程中的几乎奇异积分计算难题阻碍了边界元法在涂层结构中的应用.针对此,给出了正交各向异性温度场边界元法中几乎奇异积分的正则化算法,并将其应用于分析涂层结构的温度场.首先计算了涂层和基体为同种材料时涂层结构内的温度场,并与精确解比较来验证该方法的正确性,然后计算了涂层和基体为不同材料时正交各向异性涂层结构内的温度场.数值算例表明,同常规边界元法比较,该方法可以计算更薄涂层内的温度场.
The nearly singular integrals in the boundary integral equation have long handicapped the application of the boundary element method in coating-structures. Analytical integral formulations were applied to analyzing the temperature field in orthotropic coating-structures. Because analytical solutions are not available for different coating/substrate combinations, the temperature distribution in the coating-structures with the same mediums in the coating and substrate was investigated to verify the accuracy of the present method. The method was then utilized to determine the temperature field of the coating in the orthotropic coating-structures. Numerical examples demonstrate that the present method can model the thermal field in much thinner coating compared with the conventional method.
基金
Supported by the Doctorial Program Foundation of China(20050359009)
the Science Research Foundation of Hefei University of Technology(080802F)
关键词
边界元法
温度场
正交各向异性
涂层结构
boundary element method
temperature field
orthotropic
coating-structures
