Abstract
With the substitution of part Mg in LaMg3 by Cu, the elastic constants C 11 and C 12 increase while C 44 decreases, implying an enhanced Poisson effect and smaller resistance to 〈001〉(100) shear. Furthermore, the bulk modulus B increases, while the shear modulus G, elastic modulus E and anisotropic ratio A are reduced. The calculated Debye temperature of LaCuMg2 is lower, implying the weaker interaction between atoms in LaCuMg2. Then, the stress-strain curves in entire range and the ideal strength at critical strain are studied. The present results show that the lowest ideal tensile strength for LaMg3 and LaCuMg2 is in the 〈100〉 direction. The ideal shear strength on the \(\left\langle {1 \bar 1 0} \right\rangle \left( {110} \right)\) slip system of LaMg3 is greater than LaCuMg2. The density of states and charge density distribution are further studied to understand the inherent mechanism of the mechanical properties.
Similar content being viewed by others
References
GUNDE P, HÄNZI A, SOLOGUBENKO A, UGGOWITZER P. High-strength magnesium alloys for degradable implant applications [J]. Materials Science and Engineering A, 2011, 528(3): 1047–1054.
AGHION E, BRONFIN B. Magnesium alloys development towards the 21st century [J]. Materials Science Forum, 2000, 350: 19–30
SONG G L, ATRENS A. Corrosion mechanisms of magnesium alloys [J]. Advanced Engineering Materials, 2000, 1(1): 11–33.
TAO S, NOTTEN P, VAN S R, JANSEN A. First-principles predictions of potential hydrogen storage materials: Nanosized Ti (core)/Mg (shell) hydrides [J]. Physical Review B, 2011, 83(19): 195403.
WRÓBEL J, HECTOR L, WOLF W, SHANG S, LIU Z, KURZYDLOWSKI K. Thermodynamic and mechanical properties of lanthanum-magnesium phases from density functional theory [J]. J Alloy Compd, 2011, 512(1): 296–310.
NAYYERI G, MAHMUDI R, SALEHI F. The microstructure, creep resistance, and high-temperature mechanical properties of Mg-5Sn alloy with Ca and Sb additions, and aging treatment [J]. Materials Science and Engineering A, 2010, 527(21/22): 5353–5359.
OUYANG L Z, QIN F X, ZHU M. The hydrogen storage behavior of Mg3La and Mg3LaNi0.1 [J]. Scripta materialia, 2006, 55(12): 1075–1078.
DENEGRI S, GIOVANNINI M, SACCONE A. Constitutional properties of the La-Cu-Mg system at 400 °C [J]. J Alloy Compd, 2007, 427(1/2): 134–141.
HOHENBERG P, KOHN W. Inhomogeneous Electron Gas* [J]. Physical Review B, 1964, 136(3): B864.
KRESSE G, JOUBERT D. From ultrasoft pseudopotentials to the projector augmented-wave method [J]. Physical Review B, 1999, 59(3): 1758.
WANG C, KLEIN B, KRAKAUER H. Theory of magnetic and structural ordering in iron [J]. Physical review letters, 1985, 54(16): 1852–1855.
BLÖCHL P E. Projector augmented-wave method [J]. Physical Review B, 1994, 50(24): 17953.
MONKHORST H J, PACK J D. Special points for brillouin-zone integrations [J]. Physical Review B, 1976, 13(12): 5188–5192.
ZUBOV V, TRETIAKOV N, TEIXEIRA R J, SANCHEZ O J. Calculations of the thermal expansion, cohesive energy and thermodynamic stability of a van der Waals crystal-fullerene C60 [J]. Physics Letters A, 1994, 194(3): 223–227.
GERCEK H. Poisson’s ratio values for rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(1): 1–13.
LIU Y, LIU L, WANG S, YE H. First-principles study of shear deformation in TiAl and Ti3Al [J]. Intermetallics, 2007, 15(3): 428–435.
MATTESINI M, AHUJI R, JOHANSSON B. Cubic Hf3N4 and Zr3N4: A class of hard materials [J]. Physical Review B, 2003, 68(18): 184108.
OUYANG Y F, TAO X M, FENG Y P, DU Y, ZHONG X P. First-principles calculations of elastic constants of DO3-Mg3 RE (RE= Sc, Y, La, Ce, Lu) [J]. Physica Scripta, 2008, 78: 065601.
HUANG Z W, ZHAO Y H, HOU H, ZHAO Y H, NIU X F, HAN P D. Structural, thermodynamics and elastic properties of Mg17Al12, Al2Y and Al4Ba phases by first-principles calculations [J]. Journal of Central South University, 2012, 19(6): 1427–1481.
PETTIFOR D. Theoretical predictions of structure and related properties of intermetallics [J]. Materials science and technology, 1992, 8(4): 345–349.
ANDERSON O L. A simplified method for calculating the Debye temperature from elastic constants[J]. Journal of Physics and Chemistry of Solids, 1963, 24(7): 909–917.
ZHANG R, SHENG S, VEPREK S. First principles studies of ideal strength and bonding nature of AlN polymorphs in comparison to TiN [J]. Appl Phys Lett, 2007, 91(3): 031906–031906-3.
LIAO T, WANG J, ZHOU Y. Deformation modes and ideal strengths of ternary layered Ti2AlC and Ti2AlN from first-principles calculations [J]. Physical Review B, 2006, 73(21): 214109.
LIU Y, HU W C, LI D, ZENG X Q, XU C S, YANG X J. First-principles investigation of structural and electronic properties of MgCu2 Laves phase under pressure [J]. Intermetallics, 2012, 31: 257–263
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Project(51071053) supported by the National Natural Science Foundation of China; Project(X071117) supported by the Scientific Research Foundation of Guangxi University, China; Project(KF0803) supported by the Open Project of Key Laboratory of Materials Design and Preparation Technology of Hunan Province, China
Rights and permissions
About this article
Cite this article
Wang, Mh., Pan, Rk., Li, Pb. et al. First-principles study on mechanical properties of LaMg3 and LaCuMg2 . J. Cent. South Univ. 21, 2136–2142 (2014). https://doi.org/10.1007/s11771-014-2163-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-014-2163-5