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The elastic modulus ( E ), the critical strain energy release rate ( G c ), and the flexural strength (σ) have been determined for two partially dense alumina bodies produced from the same powder but with different initial densities. The mechanical properties were measured for specimens fabricated at four different relative densities. The measured elastic modulus, critical strain energy release rate, and a calculated critical stress intensity factor ( K c ) were observed to be linearly related to (ρ–ρ 0 )/(1 –ρ 0 ), where ρ is the current relative density and ρ 0 is the initial relative density of the powder compact. With the observed linear relations for E, G c (or K c ), and the assumption that the crack length responsible for failure was present in the initial powder compact and shrunk in proportion to the relative density change, a Griffith equation was constructed to estimate the strength at any relative density. This relation was in good agreement with measurements.
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Lam et al. (1994) studied this question.
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