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Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 11: 1351 - 1360

DOI: https://doi.org/10.1007/s10483-012-1627-x

Articles

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

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  • 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 date: 2012-02-29

  Revised date: 2012-03-28

  Online published: 2012-11-10

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 90916009 and 11172336)

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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

Cite this article

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, 2012 , 33(11) : 1351 -1360 . DOI: 10.1007/s10483-012-1627-x

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