An MgO component must not fail when a tensile stress of 13.5 MPa (1960 psi) is applied. Determine the maximum allowable surface crack length if the surface energy of MgO is 1.0 J/m2. Data found in Table 12.5 may prove helpful.
Table 12.5 Tabulation of Flexural Strength (Modulus of Rupture) and Modulus of Elasticity for Ten Common Ceramic Materials
| Flexural Strength |
| Modulus of Elasticity |
|
Material | MPa | ksi | GPa | 106 psi |
Silicon nitride (Si3N4) | 250–1000 | 35–145 | 304 | 44 |
Zirconiaa (ZrO2) | 800–1500 | 115–215 | 205 | 30 |
Silicon carbide (SiC) | 100–820 | 15–120 | 345 | 50 |
Aluminum oxide (Al2O3) | 275–700 | 40–100 | 393 | 57 |
Glass-ceramic (Pyroceram) | 247 | 36 | 120 | 17 |
Mullite (3Al2O3–2SiO2) | 185 | 27 | 145 | 21 |
Spinel (MgAl2O4) | 110–245 | 16–35.5 | 260 | 38 |
Magnesium oxide (MgO) | 105b | 15b | 225 | 33 |
Fused silica (SiO2) | 110 | 16 | 73 | 11 |
Soda-lime glass | 69 | 10 | 69 | 10 |
aPartially stabilized with 3 mol% Y2O3.
bSintered and containing approximately 5% porosity.
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