Chapter 12: Problem 46
Cite one reason why ceramic materials are, in general, harder yet more brittle than metals.
Chapter 12: Problem 46
Cite one reason why ceramic materials are, in general, harder yet more brittle than metals.
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Get started for freeIn your own words, briefly define the term stoichiometric.
If cupric oxide \((\mathrm{CuO})\) is exposed to reducing atmospheres at elevated temperatures, some of the \(\mathrm{Cu}^{2+}\) ions will become \(\mathrm{Cu}^{+}\). (a) Under these conditions, name one crystalline defect that you would expect to form in order to maintain charge neutrality. (b) How many \(\mathrm{Cu}^{+}\)ions are required for the creation of each defect? (c) How would you express the chemical formula for this nonstoichiometric material?
A three-point bending test was performed on an aluminum oxide specimen having a circular cross section of radius \(3.5 \mathrm{~mm}\) (0.14 in.); the specimen fractured at a load of \(950 \mathrm{~N}\left(215 \mathrm{lb}_{\mathrm{i}}\right)\) when the distance between the support points was \(50 \mathrm{~mm}\) (2.0 in.). Another test is to be performed on a specimen of this same material, but one that has a square cross section of \(12 \mathrm{~mm}\) ( \(0.47\) in.) length on each edge. At what load would you expect this specimen to fracture if the support point separation is \(40 \mathrm{~mm}\) (1.6 in.)?
The flexural strength and associated volume fraction porosity for two specimens of the same ceramic material are as follows: \begin{tabular}{cc} \hline\(\sigma_{f_{s}}(M P a)\) & \(P\) \\ \hline 100 & \(0.05\) \\ 50 & \(0.20\) \\ \hline \end{tabular} (a) Compute the flexural strength for a completely nonporous specimen of this material. (b) Compute the flexural strength for a \(0.10\) volume fraction porosity.
(a) A three-point transverse bending test is conducted on a cylindrical specimen of aluminum oxide having a reported flexural strength of \(390 \mathrm{MPa}(56,600 \mathrm{psi})\). If the specimen radius is \(2.5 \mathrm{~mm}\) (0.10 in.) and the support point separation distance is 30 \(\mathrm{mm}\) (1.2 in.), predict whether you would expect the specimen to fracture when a load of \(620 \mathrm{~N}\left(140 \mathrm{lb}_{\mathrm{f}}\right)\) is applied. Justify your prediction. (b) Would you be \(100 \%\) certain of the prediction in part (a)? Why or why not?
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