A ceramic component with Young’s modulus of 300 GPa and a KIc of 4 MPa.m1/2 is to survive a water quench from 500°C to room temperature of 25°C. If the largest flaw in that material is on the order of 2 μm, what is the maximum value of thermal expansion coefficient (α) for this ceramic required to survive the quench? Assume that there are 20 flaws of 2 μm size. Poisson ratio of the ceramic material is 0.25.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A ceramic component with Young’s modulus of 300 GPa and a KIc of 4 MPa.m1/2 is to survive a water quench from 500°C to room temperature of 25°C. If the largest flaw in that material is on the order of 2 μm, what is the maximum value of thermal expansion coefficient (α) for this ceramic required to survive the quench? Assume that there are 20 flaws of 2 μm size. Poisson ratio of the ceramic material is 0.25. 

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