Elastic Properties of Lucalox Alumina at 25 oC
|
Pressure |
Round-trip travel time |
Density |
Length |
Vp |
Vs |
Ks |
G |
||||||||
|
(GPa) |
tp (ms) |
ts (mse) |
(g/cm3) |
(mm) |
(km/sec) |
(km/sec) |
(GPa) |
(GPa) |
|||||||
|
0.00 |
0.6120 |
1.0450 |
3.972 |
3.340 |
10.915 |
6.392 |
256.8 |
162.3 |
|||||||
|
1.03 |
0.6081 |
1.0412 |
3.989 |
3.335 |
10.970 |
6.407 |
261.7 |
163.7 |
|||||||
|
2.11 |
0.6035 |
1.0350 |
4.005 |
3.331 |
11.038 |
6.436 |
266.8 |
165.9 |
|||||||
|
3.20 |
0.5992 |
1.0329 |
4.021 |
3.326 |
11.103 |
6.463 |
271.7 |
168.0 |
|||||||
|
4.28 |
0.5949 |
1.0237 |
4.037 |
3.322 |
11.168 |
6.490 |
276.9 |
170.1 |
|||||||
|
5.34 |
0.5913 |
1.0186 |
4.053 |
3.318 |
11.221 |
6.514 |
281.0 |
171.9 |
|||||||
|
6.33 |
0.5880 |
1.0144 |
4.067 |
3.314 |
11.272 |
6.533 |
285.3 |
173.6 |
|||||||
|
7.26 |
0.5848 |
1.0103 |
4.080 |
3.310 |
11.320 |
6.553 |
289.3 |
175.2 |
|||||||
|
8.08 |
0.5822 |
1.0068 |
4.092 |
3.307 |
11.361 |
6.569 |
292.7 |
176.6 |
|||||||
|
8.78 |
0.5798 |
1.0039 |
4.102 |
3.304 |
11.397 |
6.583 |
295.9 |
177.8 |
|||||||
|
9.34 |
0.5776 |
1.0012 |
4.110 |
3.302 |
11.434 |
6.597 |
298.8 |
178.8 |
|||||||
|
9.73 |
0.5769 |
0.9988 |
4.115 |
3.301 |
11.444 |
6.610 |
299.2 |
179.8 |
|||||||
Comparison of Pressure Derivatives for Aluminum Oxide
|
Reference |
Source of Specimen |
Bench-top Velocity |
P range |
K0' |
G0' |
||
|
V p(km/s) |
V s (km/s) |
(GPa) |
|||||
|
Schreiber and Anderson (1966) |
Lucalox |
10.845 |
6.373 |
0-0.4 |
3.98 |
1.74 |
|
|
Gieske and Barsch (1968) |
Single Crystal |
10.88* |
6.40* |
0-1.0 |
4.3 |
1.7 |
|
|
This work (1996) |
Lucalox |
10.92 |
6.39 |
0-9.7 |
4.4 |
1.8 |
|
*: Hashin-Shtrikman Averages.