Temperature-dependent elastic stiffness constants of α- and θ-Al2O3 from first-principles calculations.

作者: Shun-Li Shang , Hui Zhang , Yi Wang , Zi-Kui Liu

DOI: 10.1088/0953-8984/22/37/375403

关键词:

摘要: Temperature-dependent elastic stiffness constants (c(ij)s), including both the isothermal and isoentropic ones, have been predicted for rhombohedral α-Al(2)O(3) monoclinic θ-Al(2)O(3) in terms of a quasistatic approach, i.e., combination volume-dependent c(ij)s determined by first-principles strain versus stress method direction-dependent thermal expansions obtained phonon calculations. A good agreement is observed between predictions available experiments α-Al(2)O(3), especially off-diagonal constants. In addition, temperature-dependent herein, particular ones metastable θ-Al(2)O(3), enable analysis at elevated temperatures thermally grown oxides containing α- which are crucial to understand failure barrier coatings gas-turbine engines.

参考文章(67)
Shu-Hui Cai, Sergey N. Rashkeev, Sokrates T. Pantelides, Karl Sohlberg, Phase transformation mechanism between γ- and θ-alumina Physical Review B. ,vol. 67, pp. 224104- ,(2003) , 10.1103/PHYSREVB.67.224104
R. B. Bagwell, G. L. Messing, P. R. Howell, The formation of α-Al2O3 from θ-Al2O3: The relevance of a “critical size” and: Diffusional nucleation or “synchro-shear”? Journal of Materials Science. ,vol. 36, pp. 1833- 1841 ,(2001) , 10.1023/A:1017545213590
Shunli Shang, Yi Wang, Zi-Kui Liu, First-principles elastic constants of α- and θ-Al2O3 Applied Physics Letters. ,vol. 90, pp. 101909- ,(2007) , 10.1063/1.2711762
G.F. Davies, Effective elastic moduli under hydrostatic stress—I. quasi-harmonic theory Journal of Physics and Chemistry of Solids. ,vol. 35, pp. 1513- 1520 ,(1974) , 10.1016/S0022-3697(74)80279-9
T Gressmann, M Wohlschlögel, S Shang, U Welzel, A Leineweber, EJ Mittemeijer, Z-K Liu, None, Elastic anisotropy of γ'-Fe4N and elastic grain interaction in γ'-Fe4N1-y layers on α-Fe: first-principles calculations and diffraction stress measurements Acta Materialia. ,vol. 55, pp. 5833- 5843 ,(2007) , 10.1016/J.ACTAMAT.2007.07.001
A. van de Walle, G. Ceder, The effect of lattice vibrations on substitutional alloy thermodynamics Reviews of Modern Physics. ,vol. 74, pp. 11- 45 ,(2002) , 10.1103/REVMODPHYS.74.11
Artem R. Oganov, John P. Brodholt, G. David Price, The elastic constants of MgSiO3 perovskite at pressures and temperatures of the Earth's mantle. Nature. ,vol. 411, pp. 934- 937 ,(2001) , 10.1038/35082048
Boyd W Veal, Arvydas P Paulikas, Peggy Y Hou, None, Tensile stress and creep in thermally grown oxide. Nature Materials. ,vol. 5, pp. 349- 351 ,(2006) , 10.1038/NMAT1626