换热边界下梯度功能材料板稳态热应力

用有限元和辛普生法研究了由ZrO2和Ti-6Al～4V组成的梯度功能材料板的稳态热应力问题，检验了孔隙度P为零时数值模拟模型的正确性，给出了对流换热边界下的稳态热应力场分布。结果表明：材料组分的分布形状系数M、孔隙度P、对流换热系数和环境介质温度的变化对该材料板的稳态热应力场分布均有明显的影响；在设定条件下，当P=0时，该材料无限自由长板在金属和陶瓷附近板内为压应力，而在板中部为拉应力；当A=3.99时，陶瓷侧拉应力最大。

Steady Thermal Stresses of Functionally Gradient Material Plate under Convective Heat Transfer Boundary

The steady thermal stresses in the plate of a functionally gradient material (ZrO_2 and Ti-6Al-4V)(FGM) were analyzed by the finite element and Sinpson method. The accuracy of this method was examined when the porosity P was zero. The steady thermal stress distribution under the convective heat transfer boundary obtained. The numerical results showed that the stress distributions were substantially affected by temperature of the surrounding medium, parameter M of the material composition, P and convective heat transfer coefficients. In addition, when the P was zero, the tensile stresses appeared on the middle part of the plate and the compressive stresses appeared on the area close to the surfaces of ceramics and metal for the infinitely long traction-free plate of FGMs. It was also found that the maximum tensile stresses in the plate appeared on the surface of ceramics, when the coefficients of the A was 3.99.