Combined theoretical and experimental approach

Combining Experimental and Computational Methods in the Development of Fe3Al-based Materials

Johanes Deges*, Martin Friák#, Martin Palm*, Frank Stein*, Georg Frommeyer* and Jörg Neugebauer#

 

* Materials Technology department

 

# Computational Materials Design department

 

The development of new lightweight materials is crucial for numerous energy-conversion applications in the automotive and aerospace industries. Low-cost and low-density materials operating at higher temperatures ensure a lower fuel consumption and environmentally cleaner and more efficiently produced electricity. Two basic options in materials design and/or functional optimization are the selection of an appropriate chemical composition and the processing of an optimized microstructure. Both characteristics are mutually interlinked and inherently multiscale in nature what make them challenging to study.

We address these fundamental aspects to a promising class of lightweight intermetallics: Fe3Al-based alloys exhibiting an excellent high temperature oxidation and sulfidation resistance up to 1000 °C. Therefore, they possess a high potential as a low cost alternative to conventional ferritic, martensitic or austenitic steels [1]. For actual applications as structural materials, however, further improvements of these alloys e.g. via compositional optimization are considered. Specifically, these optimizations should lead to enhanced mechanical properties, such as improved room temperature ductility, or higher strength and creep resistance at temperatures above 600°C. For this, a detailed knowledge of the influence of alloying elements on the physical and mechanical properties is crucial but literature data are hardly available and the experimental determination is very time consuming. The use of new multidisciplinary approaches combining both experimental and theoretical methods is thus very desirable as it promises a remarkable reduction of the experimental effort and corresponding costs.

Theoretical ab initio calculations based on fundamental quantum-mechanical laws, solely from the knowledge of the atomic composition and/or structure, are nowadays increasingly used [2, 3] to accurately predict material properties without any empirical input. Basic mechanical and physical properties, like crystal structure and single crystal elastic constants, can be reliably calculated at zero temperature using density functional theory (DFT) [4, 5]. The calculated materials characteristics gathered at the atomistic level and our deeper understanding of the underlying processes can be effectively combined with advanced experimental techniques in order to design new materials with desired properties.

The Young’s moduli have been determined by the impulse excitation technique. For this samples with dimensions of 70 x 7 x 4 mm have been cut by spark erosion from vacuum induction melted ingots of several Fe3Al-M alloys. The temperature dependent values have been obtained by a fully automated Young’s modulus measurement device (Grindosonic) at a heating rate of 100 K per hour at every K in argon atmosphere. The right-hand upper inset shows the D03-based supercell with 8 Fe2 and 4 Fe1 positions (dark and light blue) and four Al sites (red).

In our study, the site preference of the alloying elements and changes in the Young’s modulus are theoretically determined. The ab initio calculations are performed for T=0K conditions but the qualitative validity of the predicted metallurgical trends can be extended also to finite temperature.

The theoretical research is complemented with measurements of the Young’s modulus at 77 K and continuously from 293 K to 1273 K, i.e., in the relevant temperature range of possible applications of Fe3Al-based alloys by means of the impulse excitation method (see Fig. 1). Both the calculations and measurements are performed for a selected group of substituents exhibiting the solubility in Fe3Al at least as high as 2 at.%.

 

 

 

Schematic view (a) of the 16-atomic D03-based supercell which has been used in our study. The supercell of Fe3Al that contains twelve Fe atoms distributed over two in-equivalent Fe sublattices (Fe2 depicted as small dark spheres and Fe1 atoms shown as light spheres) and four Al atoms (the largest spheres). The substituent (marked X) can be located on either Fe1 (a), Fe2 (b), or Al-sublattice (c).

In order to analyse compositional trends of both thermodynamic and elastic properties of Fe3Al-based single-crystalline compounds, the supercell approach with a 16-atomic supercell derived from the D03 unit cell of Fe3Al is employed (see the inset in Fig. 1 and Fig. 2). The integral polycrystalline Young’s modulus is further determined theoretically from a multi-physics combination of (i) the ab initio single-crystal elastic constants [6] and (ii) continuum linear-elasticity homogenization (Hershey’s homogenization technique [7-9]).

References

1. Deevi, S.C.; Sikka, V.K.; Intermetallics 4 (1996) 357.

2. Ghosh, G; Delsante, S.; Borzone, G.; Asta, M.; Ferro, R.; Acta Mater. 54 (2006) 4977.

3. W. A. Counts, M. Friák, C. C. Battaile, D. Raabe and J. Neugebauer, Phys. Stat. Sol. b 245,

2630 (2008).

4. Hohenberg, P.; Kohn, W.; Phys. Rev. 136 (1964) 864.

5. Kohn, W.; Sham, L.J.; Phys. Rev. 140 (1965) A1133.

6. Chen, K.; Zhao, L. R.; and Tse, J. S.; J. Appl. Phys. 93 (2003) 2414.

7. Hershey, A. V.; J. App. Mech. 9 (1954) 49.

8. Friák, M.; Counts, W.A.; Raabe, D.; Neugebauer, J.; Phys. Stat. Sol. b 245, 2636 (2008).

9. Friák, M.; Deges, J.; Stein, F.; Palm, M.; Frommeyer, G.; Neugebauer, J.; MRS Fall 2008 Meeting proceedings.

 

This page is maintained by Martin Friak. Last update: 03.02.2009