The
thermal shock resistance, \Delta T_s, is the maximal temperature difference at which a material can be
quenched without sustaining damage.
Strength-controlled thermal shock resistance Thermal shock resistance is used for material selection in applications subject to rapid temperature changes. The maximum temperature jump, sustainable by a material can be approximated for strength-controlled models by:\Delta T = A_1\frac{\sigma_f}{E\alpha}where, • A_1 \approx 1 for cold shock in plates • A_1 \approx 3.2 for hot shock in plates A
material index for material selection according to thermal shock resistance in the fracture stress derived perfect heat transfer case is therefore: \frac{\sigma_f}{E\alpha}
Poor heat transfer For cases with poor heat transfer {{nowrap|(\mathrm{Bi} ),}} the maximum heat differential supported by the material is: \Delta T_c = S \frac{k\sigma^*(1-\nu)}{E\alpha} \frac{1}{h} = \frac{S}{hR^'} where S is a shape factor, \sigma^* is the fracture stress, k is the thermal conductivity, E is the Young's modulus, \alpha is the coefficient of thermal expansion, h is the heat transfer coefficient, and R' is a fracture resistance parameter. The fracture resistance parameter is a common metric used to define the thermal shock tolerance of materials. R' = \frac{k\sigma^*(1-v)}{E\alpha} The formulas were derived for ceramic materials, and make the assumptions of a homogeneous body with material properties independent of temperature, but can be well applied to other brittle materials. ==Testing==