Analysis of Compressibility Origins in Monolithic Ceramic Suspensions Using X-Ray Imaging Techniques

Advances in the Modeling and Measurement of Drained Compressibility

“…Previous experiments by Huss et al, 20 Schilling et al, 2 Miller et al, 9 and Green et al 23 have shown discrepancies between the values of the effective stress calculated using the Buscall approach 4,8 and the Bergstrom approach. 3 These differences are to be expected, because of the assumptions that are inherent in each model.…”

“…Note that, in Table II, the error values of [1 Ϫ ⌬Ј Bus (0)/⌬Ј(0)] were determined by substituting calculated values of ⌬Ј Bus (0) and ⌬Ј(0) from Eqs. (20) and (21). We can also substitute Eqs.…”

“…We can also substitute Eqs. (20) and (21) into [1 Ϫ ⌬Ј Bus (0)/⌬Ј(0)], and the result is exactly [1 Ϫ ⌬Ј Bus (0)/⌬Ј(0)] ϭ z max /(2R). Indeed, in Table II, the corresponding error values are equal in the [1 Ϫ ⌬Ј Bus (0)/⌬Ј(0)] and z max /(2R) columns.…”

“…(12) does not require measurements of the density profile via XRCT. Instead, density profiles can be measured much more quickly and conveniently by lesssophisticated nondestructive evaluation (NDE) techniques, such as line scanning by X-ray radiography, 20 ultrasound, 21 and ultraviolet (UV) fluorescence. 22 (C) Case 3, Disk-Shaped Control Volume with No Restrictions on r max : In this most-general case, where the control unit volume is a thin disk ( Fig.…”

“…Figure 5(b) illustrates how the new model (Eq. (20)) can be used to calculate effective-stress profiles within each simulated cake. Figure 5(c) illustrates how the same model can be used to calculate the compressibility behavior of the same set of simulated density profiles.…”