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The load-displacement record for a three-point bending test on alumina (Al2O3) ceramic is shown in Fig. P4.37. The final fracture occurred at a force of 192 N and a displacement of 0.091 mm. With reference to Fig. 4.40(a), the distance between supports was L = 40 mm, and the cross-sectional dimensions were width t = 4.01 mm and depth 2c = 3.01 mm. Determine the bend strength σ f b and the elastic modulus E. Note that the nonlinearity in the record just above zero should be ignored, as it includes displacement associated with developing full contact between the specimen and the loading fixtures.
Figure 4.40