Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics

doi:10.1007/s10483-012-1627-x

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (11): 1351-1360.doi: https://doi.org/10.1007/s10483-012-1627-x

• 论文 • 下一篇

Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics

李卫国¹, 成天宝¹, 张如炳², 方岱宁²

1. Department of Engineering Mechanics, College of Resources and Environmental Science, Chongqing University, Chongqing 400030, P. R. China;
2. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P. R. China

收稿日期:2012-02-29 修回日期:2012-03-28 出版日期:2012-11-10 发布日期:2012-11-10
通讯作者: Dai-ning FANG, Professor, Ph.D., E-mail: fangdn@pku.edu.cn E-mail:fangdn@pku.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 90916009 and 11172336)

Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics

Wei-guo LI¹, Tian-bao CHENG¹, Ru-bing ZHANG², Dai-ning FANG²

1. Department of Engineering Mechanics, College of Resources and Environmental Science, Chongqing University, Chongqing 400030, P. R. China;
2. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P. R. China

Received:2012-02-29 Revised:2012-03-28 Online:2012-11-10 Published:2012-11-10
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 90916009 and 11172336)

摘要/Abstract

摘要： Through introducing the analytical solution of the transient heat conduction problem of the plate with convection into the thermal stress field model of the elastic plate, the stress reduction factor is presented explicitly in its dimensionless form. A new stress reduction factor is introduced for the purpose of comparison. The properties and appropriate conditions of the stress reduction factor, the first and second thermal shock resistance (TSR) parameters for the high and low Biot numbers, respectively, and the approximation formulas for the intermediate Biot number-interval are discussed. To investigate the TSR of ceramics more accurately, it is recommended to combine the heat transfer theory with the theory of thermoelasticity or fracture mechanics or use a numerical method. The critical rupture temperature difference and the critical rupture dimensionless time can be used to characterize the TSR of ceramics intuitively and legibly.

关键词: stress reduction factor, thermal shock resistance (TSR) parameter, ceramics, Biot number, Fourier number, differential inclusion, contingent cone, viable trajectory, Galerkin approximation

Abstract: Through introducing the analytical solution of the transient heat conduction problem of the plate with convection into the thermal stress field model of the elastic plate, the stress reduction factor is presented explicitly in its dimensionless form. A new stress reduction factor is introduced for the purpose of comparison. The properties and appropriate conditions of the stress reduction factor, the first and second thermal shock resistance (TSR) parameters for the high and low Biot numbers, respectively, and the approximation formulas for the intermediate Biot number-interval are discussed. To investigate the TSR of ceramics more accurately, it is recommended to combine the heat transfer theory with the theory of thermoelasticity or fracture mechanics or use a numerical method. The critical rupture temperature difference and the critical rupture dimensionless time can be used to characterize the TSR of ceramics intuitively and legibly.

Key words: stress reduction factor, thermal shock resistance (TSR) parameter, ceramics, Biot number, Fourier number, differential inclusion, contingent cone, viable trajectory, Galerkin approximation

中图分类号:

O343.6

李卫国;成天宝;张如炳;方岱宁. Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1351-1360.

Wei-guo LI;Tian-bao CHENG;Ru-bing ZHANG;Dai-ning FANG. Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1351-1360.

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Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics

Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics

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