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Residual stress measured in a layered ceramic
B. Ekbote, P. Kwon, M. B. Prime, “Micromechanics-based Design and Processing of Efficient Meso-scale Heat Exchanger,” 21st Annual Technical Conference of American Society for Composites, Sept. 17-20, 2006, Dearborn , MI. preprint (pdf) (LA-UR-06-5711)
3-Layer Ceramic Specimen:
- 3-Layered disk
- Alumina about 0.59 mm thick
- 50/50 Zirconia/Alumina about 0.84 mm thick
- Zirconia about 0.94 mm thick
- About 19 mm diameter
- Tested two specimens
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Cross-section of sample |
Cut slot using grinding wheel:
- 1.07 mm thick diamond wheel
- 153 mm diameter
- Spinning at 3600 RPM
- 1 µm removed each pass of the wheel while bathed in coolant
- Strain readings taken at depth increments of 25 µm
- Strain gauge is mounted opposite the cut
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Strain Data First Test:
- The first specimen was cut from the Zirconia side.
- Data was taken only to a depth of
26% of the specimen thickness, 0.635-mm, because the clamp failed and the specimen
cracked
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Strain Data Second Test :
- Clamping was improved,
- The second specimen was cut from
the Alumina side to about 89% of the specimen thickness.
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Finite Element Model for Coefficients :
- 3D finite element model used to calculate coefficients necessary for data reduction
- Color coded by hoop stress, discontinuities in stress are evident at layer interfaces
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Stresses:
- Saw tooth profile typical of cooled, layered materials
- Different stress in each layer depending on thermal expansion coefficient
- Superimpose bending to restore moment equilibrium (this is what causes specimen curvature)
- These results are similar to those from elastic-only cooling of –1200 °C (± 30%)
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