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基于非傅里叶热传导的层状复合陶瓷结构有限元分析

Finite Element Analysis of Thermal Stress of Laminated Ceramic Composites by Non-Fourier Heat Conduction Model

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【作者】 王小贞张士元郑百林贺鹏飞

【Author】 Wang Xiaozhen Zhang Shiyuan~2,Zheng Bailin~3,He Pengfei~3 1 College of Physics and Telecommunication Engineering,Fuzhou University,Fujian,Fuzhou,350002 2 Department of Civil Engineering,Fujian University of Technology,Fujian,Fuzhou,350007 3 School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai,200092

【机构】 福州大学物理与信息学院福建工程学院土木工程系同济大学航空航天与力学学院

【摘要】 层状复合陶瓷结构的热涂层和夹层厚度达到了微、纳米尺度,其温度分析模型应采用微尺度下的非傅里叶热传导模型,因此其热应力与宏观尺度下的傅里叶热传导定律计算的结果有一定差异。本文将非傅里叶热传导模型与傅里叶热传导模型相结合所得的层状复合结构的温度场作为热载荷,运用有限元方法对热应力进行分析。研究表明,由于非傅里叶热传导模型考虑了热的波动性,其热涂层的热应力比按傅里叶热传导定律计算的结果高,夹层可以有效地减缓热涂层的拉应力,同时夹层热物理性能参数(如:松弛时间、声速)对热涂层应力场有明显影响。

【Abstract】 When thermal barrier coatings and interlayer are made into laminate composites in micro/nano scale,non-Fourier heat transfers mechanics is used in micro/nano scale. Thermal stress obtained from non-Fourier mode is different from it from in the macro scale.Temperature fields obtained from combination of non-Fourier model and Fourier model are used in stress analysis of finite element in the laminated ceramic composites. Thermal stress obtained from the hyperbolic phonon scattering model of non-Fourier model is compared with those from Fourier model.It is conclusion that thermal stress from non-Fourier mode is high than it from Fourier mode in the thermal barrier coatings because of taking into account wave character of heat transfer.Interlayer can reduce thermal stress in the thermal barrier coatings.Heat physical properties of interlayer,such as,relaxation time and phonon speed,have significant influences on thermal stress in the thermal barrier coatings.

【基金】 福建省科技厅(JB06035);国家自然基金(10472084)资助项目.
  • 【会议录名称】 中国数学力学物理学高新技术交叉研究学会第十二届学术年会论文集
  • 【会议名称】中国数学力学物理学高新技术交叉研究学会第十二届学术年会
  • 【会议时间】2008-08
  • 【会议地点】中国四川峨眉山
  • 【分类号】O343.6;O551.3
  • 【主办单位】中国数学力学物理学高新技术交叉研究会
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