非均质材料等效瞬态热传导时域分析  

Adaptive-equivalent transient heat conduction analysis of heterogeneous materiel 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结构分析国家重点实验室,大连116024

出　　处：《计算力学学报》2013年第S1期188-192,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10772035;10721062;10472019);973国家重点基础研究规划自助(2005CB321704)资助项目

摘　　要：基于时域自适应算法,结合均匀化技术和有限元方法,从而提出一种瞬态温度场求解模型,用来预测非均质材料等效性能并评估宏观温度场的等效行为.在整个计算中,通过自适应算法保证计算精度和稳定性,避免时间段尺寸变化可能引起的计算误差.在数值算例中,等效分析的结果与利用ANSYS求解的非均质有限元解比较,从计算效率和计算精度综合效果而言,结果是令人满意的.Present a kind of model which can analyze the transient heat conduction of linear heterogeneous material to predict and evaluate the effective properties of macroscopic temperature equivalent behavior.Based on adaptive algorithm in time domain,the transient heat conduction equation can be expanded in time domain.Combining with the asymptotic expansion homogenization(AHE) technique the recursion scheme of equivalent heat conduction equation is obtained.Finally,transient temperature field calculation equivalent model can be acquired by the finite element method.The calculation error can be avoided through the adaptive computation when the size of time step changes.In numerical examples the calculation results of equivalent analysis and the heterogeneous solutions based on ANSYS are compared,and satisfactory results are achieved.

关 键 词：热传导 时域 自适应 均匀化 非均质材 

分 类 号：O343.6[理学—固体力学]