A universal Biot number determining the susceptibility of ceramics to quenchingF. Song1, Q. N. Liu1, S. H. Meng2 and C. P. Jiang3
1 State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences Beijing 100190, PRC
2 Centre for Composite Materials, Harbin Institute of Technology - Harbin 150080, PRC
3 Solid Mechanics Research Center, Beijing University of Aeronautics and Astronautics - Beijing 100191, PRC
received 8 June 2009; accepted in final form 20 August 2009; published September 2009
published online 18 September 2009
A universal Biot number of ceramics, which not only determines the susceptibility of the ceramics to quenching but also indicates the duration that the ceramics fail during thermal shock, is theoretically obtained. The present analysis shows that the thermal shock failure of the ceramics with a Biot number greater than this universal value is a very rapid process that just occurs in the initial regime of the heat conduction of the ceramics. This universal Biot number provides a guide to the selection of the ceramics applying to the thermostructural engineering including thermal shock.
44.10.+i - Heat conduction.
81.40.Np - Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure.
65.40.-b - Thermal properties of crystalline solids.
© EPLA 2009