基于非傅立叶热传导半无限大体热冲击力学分析  

Mechanics Analysis of Semi-infinite Body under Thermal Shock with Non-Fourier Model

作　　者：张士元[1] 郑百林[2] 贺鹏飞[2] 

机构地区：[1]福建工程学院土木工程系,福建福州350007 [2]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2009年第3期420-426,共7页Chinese Quarterly of Mechanics

基　　金：国家自然基金项目资助(10472084);福建省青年人才项目资助(2007F3005);福建工程学院科研项目(GY-Z0705)

摘　　要：在微观尺度下,陶瓷的热传导机理与宏观尺度下的热传导机理有较大的差异,由此产生的热应力与宏观尺度下的不同,本文针对热冲击条件下的半无限大体,基于非傅立叶热传导模型分析了温度场、应力场和单边裂纹的应力强度因子,并与基于傅立叶热传导模型分析的结果进行了比较。研究表明在半无限大体表面附近或裂纹较短时,基于非傅立叶热传导模型得到的应力最大值或应力强度因子最大值比基于傅立叶热传导模型得到的结果大,而在半无限大体内部或裂纹较长时,结果相反。Thermal stress obtained from non-Fourier model has remarkable differences with stress from Fourier model, because of the differences heat transfer mechanics in micro/nano-scale with those in macro scale. Based on the temperature field from non-Fourier heat transfer model in the semi-infinite body under thermal shock, the stress intensity of an edge crack and thermal stress were studied. The results from non-Fourier heat transfer model were compared with those from Fourier heat transfer model. It is conclusion that the maximal value of thermal stress or stress intensity from non-Fourier heat transfer model is higher than that from Fourier heat transfer model near surface or when crack length is short. But in the semi-infinite body or when crack length is long, those results are contrary.

关 键 词：非傅立叶热传导 热冲击 半无限大体 

分 类 号：TQ320[化学工程—合成树脂塑料工业]