2012
DOI: 10.1016/j.ceramint.2012.04.045
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Elastic properties and damping behavior of alumina–zirconia composites at room temperature

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Cited by 40 publications
(27 citation statements)
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“…%, the relative density decreased and consequently the porosity has increased. Similar results were published previously [39].…”
Section: Resultssupporting
confidence: 93%
“…%, the relative density decreased and consequently the porosity has increased. Similar results were published previously [39].…”
Section: Resultssupporting
confidence: 93%
“…Table 2, and ϕ the porosity, i.e. the volume fraction of pores), which is known to provide one of the lowest estimates of the porosity dependence of Young's modulus (which is often a quite realistic one for moderately high porosities) [20]. Other relations, in particular the power-law relation (Gibson-Ashby relation), yield much higher values and are known to provide appropriate predictions mainly for highly cellular materials with porosities above 70% [21].…”
Section: Young's Modulus and Its Dependence On Composition And Porositymentioning
confidence: 99%
“…Now, for porous materials with statistically isotropic microstructures relative sound velocities (additional index “ r ”) can be defined by normalizing with the sound velocities of the dense materials (additional index “0”), that is, 0.28emVTr0.28emor0.28emLrbadbreak=VTorLVT0orL00.28em$$\begin{equation}{\;}{V_{Tr\;{\mathrm{or}}\;Lr}} = \frac{{{V_{T\;{\mathrm{or}}\;L}}}}{{{V_{T0\;{\mathrm{or}}\;L0}}}}\;\end{equation}$$which is more convenient for comparison with theoretical predictions. Predictions for the porosity dependence of the sound velocity 22 can be derived from the well‐known predictive models for elastic properties, including the Maxwell–Mori–Tanaka (MMT) relation, 23,24 the differential relation 24,25 or Gibson–Ashby relation for open‐cell foams, 26,27 the (Pabst–Gregorová‐type) exponential relation 28,29 and the self‐consistent model relation, 24,29 as well as the numerical (Pabst–Uhlířová) benchmark relation for partially sintered materials with concave porosity (overlapping solid sphere model) 30 and the one‐parameter (Pabst–Gregorová) percolation relation, 31 the latter with critical porosity ϕc=${\phi _c} = $ 0.36 (complement to the solid volume fraction of 0.64 for random close packing or maximally random jammed structure) 24 . In the following relations the porosity is denoted by ϕ and for simplicity all predictions are given here for Poisson's ratios sufficiently close to 0.2, if not noted otherwise (the generalization to other Poisson's ratios is straightforward, however, and may be invoked if needed) 22 …”
Section: Theoreticalmentioning
confidence: 99%
“…The sound velocity prediction based on the (Pabst–Gregorová‐type) exponential relation 28 is 0.28emVrbadbreak=exnormalp()2ϕ1ϕ1ϕ0.28em.$$\begin{equation}{\;}{V_r} = \sqrt {\frac{{{\mathrm{ex}}{{\mathrm{p}}^{\left( {\frac{{ - 2\phi }}{{1 - \phi }}} \right)}}}}{{1 - \phi }}} \;.\end{equation}$$…”
Section: Theoreticalmentioning
confidence: 99%