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Method
and Scope
The MedeA-MT module provides a fully automated computational procedure
for predicting mechanical and thermomechanical properties of materials
such as high performance alloys, hard materials, oxides and other
more complex materials. Exploiting MedeA's powerful paradigm of
combining experimental structure data with predictive computational
methods, MedeA-MT let's you determine valuable properties such as
elastic coefficients, Young’s moduli, shear moduli, and thermal
expansion coefficients with unprecedented reliability and ease.
| Features
MedeA-MT calculates the following properties:
- Elastic constants
- Compliance matrix
- Bulk and shear moduli for a polycrystalline sample (*)
- Longitudinal and transverse velocities of sound (*)
- Debye temperature (*)
- Heat capacity and free energy (lattice contribution in
Debye approximation)
- Thermal expansion coefficient (estimate within the Debye-Grüneisen
approximation)
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| MedeA-MT is fully integrated
with the first principle method VASP.
Compute intensive
applications in MT are supported through MedeA's
parallel/serial job control and spreadsheet job submission.
While the integrated analysis tools allow for simple visualization
of results, easy data export to other Windows application is
one of MedeA's generic features. |
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Application
examples
Starting from a structural model retrieved
from MedeA-InfoMaticA or imported/built
by the user, MT let's you predict the elastic properties through
a fully automated procedure, performing the following steps:
- Determine the symmetry of the model
- Find the pertinent set of independent elastic constants
- Set up strains needed to compute stiffness matrix
- Run computations for strained and unstrained geometries
- Derive stiffness matrix from stress field using an efficient
algorithm [1]
- Calculate further thermomechanical data from output
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Example 1 - Quartz
Quartz is one of the most common minerals in the earth’s
crust. It has a wide range of technological applications,
amongst them piezoelectrics and semiconductor devices. MedeA-MT
determines the elastic properties of SiO2 in good agreement
with experiments
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Example 2 - Tourmaline
For complex structures such as the below tourmaline (Schorl)
the elastic constants can be readily determined using MedeA-MT.
The unit cell contains 8 species and 159 atoms. Using a parallel
compute cluster with 4 nodes (INTEL P-IV 2GHz or AMD 1800GHz)
such a calculation can be run overnight (~ 50 hours on a single
CPU).
Download MedeA-MT
datasheet (.pdf)
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Remarks
(*) The theory of Voigt, Reuß and Hill is employed to derive
these properties.
References
- Y. Le Page and P. Saxe, Phys. Rev. B 65, 104104
(2002), Y. Le Page, P. Saxe and J. R. Rodgers, Phys. stat.
sol. (b) 229, 1155 (2002) and unpublished
- Landolt-Börnstein, Vol. 29, Eds. A. G. Every and
A. K. McCurdy, Springer-Verlag, Berlin/Heidelberg/New York
1992
- B. G. Helme and P. J. King, J. Mater. Sci. 13,
1487 (1978)
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