有限元二维功能梯度热传导研究，基于分离变量法，推导出2D-FGM板的稳态温度场的级数解析解；基于加权余量法推导出2D-FGM板的稳态温度场的有限元法基本方程；通过MATLAB软件编写了稳态温度场有限元计算程序，通过数值计算，得到研究模型的温度场分布规律；将有限元解与解析解的结果比较，再将通过ANSYS建模计算结果与有限元数值解进行比较，充分说明了本文研究方法的正确性；通过对数值计算结果进行分析，研究了热导率变化对温度场分布的影响、温度在板内的分布状态和边界条件对温度场的影响。上述结果为该板的进一步的热应力分析和工程应用提供了理论依据，并可作为检验其他近似方法的参考标准。
☆24Nov 30, 2017Updated 8 years ago
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