Question
Download Solution PDFA reaction-bonded silicon nitride ceramic has a strength of 300 MPa and a fracture toughness of 3.6 MPa √m. With y = 1 in the fracture toughness equation, what is the largest size of internal crack that this material can withstand without fracturing?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Fracture toughness is given as
\({K_C} = y\sigma \sqrt {a\pi }\)
Where 2a = maximum size of internal crack
Calculation:
Given, fracture toughness Kc = 3.6 MPa, σ = 3.6 MPa √m
\(3.6 = 1 \times 300\;\sqrt {a\pi }\)
a = 0.0000458
2a = 91.6 × 10-6 mLast updated on Jun 23, 2025
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