功能梯度材料板在周期温度边界条件下的温度响应

Thermal responses of functionally graded material plate under periodic temperature boundary conditions

在热载荷作用下,功能梯度材料板结构内部将产生温度场,变形场以及应力场等.通过解析推导和数值计算获得功能梯度板在不同组份材料体积分数分布以及不同边界温度频率下的温度响应.采用摄动法和分离变量法,得到功能梯度材料板内温度响应的解析表达式.作为算例,考虑材料组份沿板厚方向按幂律变化的情形,计算并讨论不同梯度因子、边界温度频率对陶瓷-金属梯度材料板内温度响应的影响.

The temperature field, deformation field and thermal stresses filed would take place in a functionally graded plate under the disturbance of thermal load. By using perturbation method and variable separation, the temperature response of a functionally graded plate was studied, which was subjected to a periodic temperature disturbance. An analytic solution of its dynamic response to the temperature fields was obtained. As a numerical example, the volume fraction of the constituents across the plate was assumed to vary according to a power-law distribution. Numerical results for different parameters, including gradient factor and frequency of boundary temperature, were presented and the effects of these parameters on the temperature responses in ceramic-metallic graded plate were discussed, also.