轴对称功能梯度材料设计模型

^Analytical Model for Axial Symmetrical FGM

采用弹性力学、复合材料力学以及计算数学的有关理论，建立起了轴对称功能梯度材料分析模型，结合这类材料实际应用背景，给出了理论模型求解的边界条件。在求解梯度层层间热应力的过程中，引入了三角级数来描述功能梯度材料层间热应力，从而得到了层间热应力的精确解，以此优化这类材料的设计与实现该类材料的成功制备。

Analytical model for axial symmetrical functionally graded materials(FGM) is established based on the elasticity theory and computational mathematical model. The boundary conditions of the model is determined according to its application background. Triangle series are employed to describe the thermal stress caused by the difference of thermal expansion coefficients. Thus the accurate stress distribution has been calculated.