Properties and Appropriate Conditions of Stress Reduction Factor and Thermal Shock Resistance Parameters for Ceramics

LI Wei-guo; CHENG Tian-bao; ZHANG Ru-bing; FANG Dai-ning

doi:10.3879/j.issn.1000-0887.2012.11.001

Volume 33 Issue 11

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2012 > 33(11): 1257-1265

LI Wei-guo, CHENG Tian-bao, ZHANG Ru-bing, FANG Dai-ning. Properties and Appropriate Conditions of Stress Reduction Factor and Thermal Shock Resistance Parameters for Ceramics[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1257-1265. doi: 10.3879/j.issn.1000-0887.2012.11.001

Citation:

PDF( 702 KB)

Properties and Appropriate Conditions of Stress Reduction Factor and Thermal Shock Resistance Parameters for Ceramics

doi: 10.3879/j.issn.1000-0887.2012.11.001

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

Received Date: 2012-02-29
Rev Recd Date: 2012-03-28
Publish Date: 2012-11-15

Abstract

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 was presented explicitly in its dimensionless form. A new stress reduction factor was 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 were discussed. To investigate the TSR of ceramics more accurately, it was 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.
- stress reduction factor,
- thermal shock resistance parameter,
- ceramics,
- Biot number,
- Fourier number

FullText(HTML)

References(34)

References

[1]	Cheng C M. Resistance to thermal shock[J]. Journal of the American Rocket Society, 1951, 21(6): 147-153.
[2]	Kingery W D. Factors affecting thermal stress resistance of ceramic materials[J]. Journal of the American Ceramic Society, 1955, 38(1): 3-15.
[3]	Hasselman D P H. Elastic energy at fracture and surface energy as design criteria for thermal shock[J]. Journal of the American Ceramic Society, 1963, 46(11): 535-540.
[4]	Hasselman D P H. Unified theory of thermal shock fracture initiation and crack propagation in brittle ceramics[J]. Journal of the American Ceramic Society, 1969, 52(11): 600-604.
[5]	Kingery W D, Bowen H K, Uhlmann D R. Introduction to Ceramics[M]. 2nd ed. New York: John Wiley and Sons, 1976.
[6]	Lewis D. Comparison of critical ΔTc values in thermal shock with the R parameter[J]. Journal of the American Ceramic Society, 1980, 63(11/12): 713-714.
[7]	Wang H, Singh R N. Thermal shock behaviour of ceramics and ceramic composites[J]. International Materials Reviews, 1994, 39(6): 228-244.
[8]	Green D J.An Introduction to the Mechanical Properties of Ceramics[M]. Cambridge: Cambridge University Press, 1998.
[9]	Fahrenholtz W G, Hilmas G E, Talmy I G, Zaykoski J A. Refractory diborides of zirconium and hafnium[J]. Journal of the American Ceramic Society, 2007, 90(5): 1347-1364.
[10]	HOU Lei, ZHAO Jun-jie, LI Han-ling. Finite element convergence analysis of two-scale non-Newtonian flow problems[J].Advanced Materials Research, 2013,718/720: 1723-1728.
[11]	戈西 M K, 卡诺瑞阿 M. 热冲击荷载作用下的含球形空腔的广义热弹性功能梯度球形各向同性体[J].应用数学和力学， 2008， 29(10)：1147-1160. (Ghosh M K, Kanoria M. Generalized thermoelastic functionally graded spherically isotropic solid containing a spherical cavity under thermal shock[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(10): 1263-1278.)
[12]	Meng S H, Liu G Q, Sun S L. Prediction of crack depth during quenching test for an ultra high temperature ceramic[J]. Materials and Design, 2010, 31(1): 556-559.
[13]	Shao Y F, Xu X H, Meng S H, Bai G H, Jiang C P, Song F. Crack patterns in ceramic plates after quenching[J]. Journal of the American Ceramic Society, 2010, 93(10): 3006-3008.
[14]	Liang J, Wang Y, Fang G D, Han J C. Research on thermal shock resistance of ZrB2-SiC-AlN ceramics using an indentation-quench method[J]. Journal of Alloys and Compounds, 2010, 493(1/2): 695-698.
[15]	Han J C, Wang B L. Thermal shock resistance of ceramics with temperature-dependent material properties at elevated temperature[J]. Acta Materialia, 2011, 59(4): 1373-1382.
[16]	Levine S R, Opila E J, Halbig M C, Kiser J D, Singh M, Salem J A. Evaluation of ultra-high temperature ceramics for aeropropulsion use[J]. Journal of the European Ceramic Society, 2002, 22(14/15): 2757-2767.
[17]	Zhang X H, Xu L, Du S Y, Han W B, Han J C, Liu C Y. Thermal shock behavior of SiC-whisker-reinforced diboride ultrahigh-temperature ceramics[J]. Scripta Materialia, 2008, 59(1): 55-58.
[18]	Liang J, Wang C, Wang Y, Jing L, Luan X. The influence of surface heat transfer conditions on thermal shock behavior of ZrB2-SiC-AlN ceramic composites[J]. Scripta Materialia, 2009, 61(6): 656-659.
[19]	Zhang X H, Wang Z, Hu P, Han W B, Hong C Q. Mechanical properties and thermal shock resistance of ZrB2-SiC ceramic toughened with graphite flake and SiC whiskers[J]. Scripta Materialia, 2009, 61(8): 809-812.
[20]	zdemir I, Brekelmans W A M, Geers M G D. Modeling thermal shock damage in refractory materials via direct numerical simulation (DNS)[J]. Journal of the European Ceramic Society, 2010, 30(7): 1585-1597.
[21]	Li W G, Cheng T B, Li D Y, Fang D N. Numerical simulation for thermal shock resistance of ultra-high temperature ceramics considering the effects of initial stress field[J]. Advances in Materials Science and Engineering, 2011, 2011: Article ID 757543, 7 pages.
[22]	Incropera F P, DeWitt D P, Bergman T L, Lavine A S.Fundamentals of Heat and Mass Transfer[M]. 6th ed. New York: John Wiley and Sons, 2007: 166-188.
[23]	Timoshenko S, Goodier J N. Theory of Elasticity[M]. 2nd ed. New York: McGraw-Hill Book Co, 1951: 399-404.
[24]	Song F, Liu Q N, Meng S H, Jiang C P. A universal Biot number determining the susceptibility of ceramics to quenching[J]. Europhysics Letters, 2009, 87(5): Article ID 54001, 3 pages.
[25]	Manson S S. Behavior of materials under conditions of thermal stress[R]. NACA Technical Note 2933, Washington, DC, July 1953.
[26]	Li W G, Fang D N. Effects of thermal environments on the thermal shock resistance of ultra-high temperature ceramics[J]. Modern Physics Letters B, 2008, 22(14): 1375-1380.
[27]	Manson S S. Thermal stresses:Ⅰ[J]. Machine Design, 1958, 30: 114-120.
[28]	Becher P F, Lewis III D, Garman K R, Gonzalez A C. Thermal-shock resistance of ceramics-size and geometry-effects in quench tests[J]. American Ceramic Society Bulletin, 1980, 59(5): 542-545.
[29]	Noda N, Matsunaga Y, Tsuji T, Nyuko H. Thermal shock problems of elastic bodies with a crack[J]. Journal of Thermal Stresses, 1989, 12(3): 369-383.
[30]	Collin M, Rowcliffe D. Analysis and prediction of thermal shock in brittle materials[J]. Acta Materialia, 2000, 48(8): 1655-1665.
[31]	Kim Y, Lee W J, Case E D. The measurement of the surface heat transfer coefficient for ceramics quenched into a water bath[J]. Materials Science and Engineering A, 1991, 145(1): L7-L11.
[32]	Opeka M M, Talmy I G, Wuchina E J, Zaykoski J A, Causey S J. Mechanical, thermal, and oxidation properties of refractory hafnium and zirconium compounds[J]. Journal of the European Ceramic Society, 1999, 19(13/14): 2405-2414.
[33]	Wuchina E, Opeka M, Causey S, Buesking K, Spain J, Cull A, Routbort J, Guitierrez-Mora F. Designing for ultra high-temperature applications: the mechanical and thermal properties of HfB2, HfCx, HfNx, and αHf(N)[J]. Journal of Materials Science, 2004, 39(19): 5939-5949.
[34]	Loehman R, Corral E, Dumm H P, Kotula P, Tandon R. Ultra high temperature ceramics for hypersonic vehicle applications[R]. SAND 2006-2925, Albuquerque, NM, June 2006.