对称型梯度功能材料的瞬态热应力强度因子  

Transient thermal stress intensity factors for a functionally gradient material with symmetrical structure

作　　者：赵军[1] 王朝霞[1] 董一芬[2] 艾兴[1] 

机构地区：[1]山东大学机械工程学院,山东济南250061 [2]山东经贸职业学院计算机系,山东潍坊261011

出　　处：《山东大学学报（工学版）》2004年第3期9-13,共5页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金 ( 5 0 10 5 0 11);全国优秀博士学位论文作者专项资金 ( 2 0 0 2 3 1);教育部留学回国人员科研启动基金 (教外司留[2 0 0 2 ] 2 47)资助项目

摘　　要：采用摄动法推导出无限大对称型梯度功能材料平板的一维非定常温度场及非定常热应力场的解析表达式 ,并采用权函数法计算了受热冲击的含双边裂纹的对称型梯度功能材料平板的瞬态热应力强度因子 .通过两种Al2 O3 TiC系梯度功能陶瓷平板表面冷却条件下的计算实例并与均质陶瓷材料对比 ,分析了材料的热 物理性能分布规律对瞬态热应力强度因子的影响 。A double-edge cracked infinite functionally gradient material (FGM) plate with symmetrical structure subjected to thermal shock is studied by means of the derivation of the analytical formulae of one-dimensional transient temperature field and transient thermal stress field for infinite FGM plate with symmetrical structure via the perturbation method, and consequently the calculations of transient thermal stress intensity factors (TSIFs) via a weight function method. The effects of the distributions of thermo-physical properties on the transient TSIFs of the FGM plate are analyzed via the numerical calculations conducted on two Al 2O 3/TiC FGM plates with different compositional distributions under surface cooling in contrast to homogeneous plate. The principles for the design of functionally gradient ceramics with high thermal shock resistance are put forward conclusively.

关 键 词：梯度功能材料 非定常热应力 热应力强度因子 组成分布 

分 类 号：TQ174.1[化学工程—陶瓷工业]