非均质材料瞬态热传导的时域自适应等效分析  

Equivalent analysis of heterogeneous material' s transient heat conduction based on adaptive computation in time domain

作　　者：任懿[1] 杨海天[2] 李建军[1] 

机构地区：[1]中国电子科技集团公司第五十四研究所,石家庄050081 [2]大连理工大学工业装备国家重点实验室,大连116024

出　　处：《高技术通讯》2013年第3期325-329,共5页Chinese High Technology Letters

基　　金：国家自然科学基金(10772035;10721062;10472019);973计划(2005CB321704)资助项目

摘　　要：为实现非均质材料瞬态热传导的时域自适应等效分析,提出了一种分析线性非均质材料瞬态热传导的等效模型,用来预测等效性能并评估宏观温度场的等效行为;基于时域自适应算法,将瞬态热传导方程在时段上展开,结合渐进展开均匀化技术,得到递推格式的等效热传导方程,再利用有限元方法得到等效瞬态温度场求解模型。在实现等效分析的计算中,可通过自适应计算避免时段大小变化时可能出现的计算误差。通过数值算例,将等效分析的计算结果与基于ANSYS的有限元非均质解进行了比较,结果是令人满意的。An equivalent model for analysis of the transient heat conduction of linear heterogeneous materials was presented to predict and evaluate the equivalent properties and the equiralent behavior of the macroscopic temperature field. Based on adaptive algorithm in time domain, the transient heat conduction equation was expanded in time domain, and by combining with the asymptotic expansion homogenization technique, the recursive equivalent heat conduction equation was obtained. Finally, the model for calculation of the equivalent transient temperature field was acquired by the finite element method. During the calculation based on the model, calculation errors were avoided through the adaptive computation when the size of time step changed. In numerical examples the calculation results of the equivalent analysis and the heterogeneous solutions based on ANSYS were compared, and the satisfactory results were achieved.

关 键 词：瞬态热传导 时域 自适应 均匀化 非均质材料 

分 类 号：O551.3[理学—热学与物质分子运动论]