I'm studying in some alloy's microscope mechanical properties. I find those two material parameter: surface energy and grain boundary energy are used in many theories. I'm wondering how could I get these two parameters from experiment? Moreover, I want to get these two parameters in high-temperature, is there already have some successful experiment in these area??
pls see journal of material science,January 1991, Volume 26, Issue 5, pp 1395–1400,it is very explicit and detailed.
Surface and grain-boundary energies of cubic zirconia
Authors
Authors and affiliations
D. Sotiropoulou
P. Nikolopoulos
D. Sotiropoulou
1
P. Nikolopoulos
1
1.Institute of Physical Metallurgy, Department of Chemical EngineeringUniversity of PatrasPatrasGreece
Papers
Received:
21 August 1989
Accepted:
19 February 1990
DOI: 10.1007/BF00544484
Cite this article as:
Sotiropoulou, D. & Nikolopoulos, P. J Mater Sci (1991) 26: 1395. doi:10.1007/BF00544484
Abstract
Using the multiphase equilibration technique for the measurement of contact angles, the surface and grain-boundary energies of polycrystalline cubic ZrO2 in the temperature range of 1173 to 1523 K were determined. The temperature coefficients of the linear temperature function obtained, are expressed as
dγdT (ZrO 2 ) = −0.431 × 10 −3 ± 0.004 × 10 −3 Jm −2 K −1 dγdT(ZrO2) = −0.431 × 10−3 ± 0.004 × 10−3 Jm−2 K−1
\frac{{{\text{d}}\gamma }}{{{\text{d}}T}}({\text{ZrO}}_{\text{2}} ){\text{ }} = {\text{ }} - 0.431{\text{ }} \times {\text{ }}10^{ - 3} {\text{ }} \pm {\text{ }}0.004{\text{ }} \times {\text{ }}10^{ - 3} {\text{ Jm}}^{ - {\text{2}}} {\text{ K}}^{ - {\text{1}}} and
dγdT (ZrO 2 −ZrO 2 ) = −0.392 × 10 −3 ± 0.126 × 10 −3 Jm −2 K −1 dγdT(ZrO2−ZrO2) = −0.392 × 10−3 ± 0.126 × 10−3 Jm−2 K−1
\frac{{{\text{d}}\gamma }}{{{\text{d}}T}}({\text{ZrO}}_{\text{2}} - {\text{ZrO}}_{\text{2}} ){\text{ }} = {\text{ }} - 0.392{\text{ }} \times {\text{ }}10^{ - 3} {\text{ }} \pm {\text{ }}0.126{\text{ }} \times {\text{ }}10^{ - 3} {\text{ Jm}}^{ - {\text{2}}} {\text{ K}}^{ - {\text{1}}} respectively. The surface fracture energy obtained with a Vickers microhardness indenter at room temperature is found to be γF=3.1 J m−2.
References
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Numerically speaking, you will need sub models of your FE prepared in UMAT/VMAT in ABAQUS and some programming. Are you interested in an FE approach to this issue?
Dear Shahin Khoddam. I'm very interested in FE methods, and I've learn ABAQUS and know a few about UMAT. Did ABAQUS can give this two parameters? How? Thanks for answering ：）
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