Author Name | Affiliation | Shiyuan Zhang | Department of Civil Engineering, Fujian University of Technology, Fuzhou 350108, Fujian, China | Beilin Zheng | School of AerospaceEngineering and Applied Mechanics, Tongji University, Shanghai 200092, China | Pengfei He | School of AerospaceEngineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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Abstract: |
Temperature filed, thermal stress, especially tensile stress and J-integral are important for thermal barrier coatings (TBCs) under thermal shock. At the micro- and nano-scale, the energy transport mechanisms are significantly different from those at the macro-scale. The temperature fields, which are obtained by combining the Equation of Phonon Radiative Transport (EPRT) (for the nano-scale ceramic TBCs)and the Fourier law (for the substrate), are used as the thermal loading in the thermal stress and J-integral of an edge in the TBCs analysis by the finite element method. The temperature field and thermal stresses as well as J-integral are compared with those which are calculated by applying the Fourier law to both the TBCs and the substrate. The influence of the physical heat properties of the TBCs on the temperature field and thermal stress and J-integral have been analyzed in this paper. It is concluded that the temperature, thermal stress, including the tensile and compressive components, and J-integral which are calculated with the EPRT, are lower than that calculated with the Fourier law in the TBCs. Moreover, thermal stress in the TBCs increase with increasing phonon speed and relaxation time, but J-integral at the crack tip is in the opposite |
Key words: nano-ceramic TBCs EPRT the Fourier law thermal stress |
DOI:10.11916/j.issn.1005-9113.21016 |
Clc Number:O343,O414,O482.2 |
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Descriptions in Chinese: |
基于辐射模型的微、纳米尺度陶瓷热涂层的热力学性能分析 张士元1,郑百林2,贺鹏飞2 (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) 摘要:温度场、热应力(特别是剥离力)和J积分对于热冲击下的热涂层具有重要作用,在微、纳米尺度上,能量传输机制与宏观尺度上有显著的不同。对于热冲击条件下微、纳米尺度陶瓷热涂层结构,采用声子辐射输运方程(EPRT)(用于纳米尺度陶瓷涂层)和傅里叶热传导定理(用于基底)相结合求得温度场,继而得到热应力和J积分。将这些结果与涂层和基底都采用傅里叶热传导定理计算的结果进行比较,同时分析了热物理特性(如弛豫时间和声子速度)对这些结果的影响。结果表明,用EPRT计算的温度、热应力和J积分,低于采用傅里叶热传导定理计算的结果。此外,TBCs的热物理性质对温度场和热应力的影响在TBCs表面和内部不同。 关键词:微纳尺度陶瓷热涂层,纯声子辐射模型,热应力,J积分 |