\text { Q#1. A fully stabilized, cubic polycrystalline } \mathrm{ZrO}_{2} \text { sample has a fracture toughness of } K_{\mathrm{IC}}=3.8 \mathrm{MPa}-\sqrt{\mathrm{m}} when tested on a four-point bend test. (a) If the sample fails at a stress of 450 MPa, what isthe size of the largest surface flaw? Assume Y = Vn.700 (b) The same test is performed with a partially stabilized ZrO2 specimen. This material is transformation-toughened and has a Kic = 12.5MPa-Vm. If this material has the same flaw distribution as the fully stabilized sample, what stress must be applied to cause failure?