TRANSIENT THERMOELASTIC ANALYSIS FOR A FUNCTIONALLY GRADED CIRCULAR DISK WITH PIECEWISE POWER LAW
TRANSIENT THERMOELASTIC ANALYSIS FOR A FUNCTIONALLY GRADED CIRCULAR DISK WITH PIECEWISE POWER LAW
复制标题
DOI：
--
复制
发表时间：
2012
影响因子：
0.7
通讯作者：
N. Noda;Y. Ootao;Y. Tanigawa
中科院分区：
文献类型：
--
作者：
N. Noda;Y. Ootao;Y. Tanigawa
研究了由外表面均匀加热引起的具有分段幂律分布的功能梯度固体圆盘瞬态热弹性问题的理论处理。实心圆盘也从上、下平表面冷却。功能梯度圆盘由许多薄的圆形层组成，以保证材料位置依赖的非线性。除第一内层外，各层的热导率、杨氏模量和线性热膨胀系数均表示为径向坐标的幂函数，其值在界面上连续。得到了一维瞬态温度场的精确解，以及平面应力状态下的面内热弹性响应。温度变化、位移和应力分布的一些数值结果如图所示。
The theoretical treatment of a transient thermoelastic problem involving a functionally graded solid circular disk with piecewise power law due to uniform heat supply from an outer surface is studied. The solid circular disk is also cooled from the upper and lower flat surfaces. The functionally graded circular disk consists of many thin circular layers in order to guarantee the voluntariness of material position dependency. The thermal conductivity, Young's modulus and the coefficient of linear thermal expansion of each layer, except the first inner layer, are expressed as power functions of the radial coordinate, and their values continue on the interfaces. We obtain the exact solution for the one-dimensional temperature change in a transient state, and in-plane thermoelastic response under the state of plane stress. Some numerical results for the temperature change, displacement and stress distributions are shown in figures.