A comparative ab initio study of the 'ideal' strength of single crystal α- and β-Si3N4

被引:69
作者
Ogata, S
Hirosaki, N
Kocer, C
Shibutani, Y
机构
[1] Natl Inst Mat Sci, Adv Mat Lab, Tsukuba, Ibaraki 3050044, Japan
[2] Osaka Univ, Grad Sch, Dept Mech & Syst Engn, Suita, Osaka 5650871, Japan
[3] Osaka Univ, Grad Sch, Handai Frontier Res Ctr, Suita, Osaka 5650871, Japan
关键词
stess-strain data; orthorhombic structure; pseudopotential; polymorphs; silicon nitride;
D O I
10.1016/j.actamat.2003.09.008
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study, the ideal tensile and shear strengths of single crystal alpha- and beta-Si3N4 were calculated using an ab initio density functional technique. The stress-strain curve of the silicon nitride polymorph was calculated from simulations of predefined strain deformation in various directions. In particular, the ideal strength calculated for an applied tensile gamma(11) strain, in the [1 0 0] plane, was estimated to be similar to51 and 57 GPa, for alpha- and beta-Si3N4, respectively. Using a reported empirical method an estimate was also made of the Vickers indentation hardness of the alpha- and beta-Si3N4 single crystals, similar to23.0 and 20.4 GPa, respectively. Moreover, a hardness estimate has been reported for Si3N4 in the literature: similar to21.0 GPa. (C) 2003 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:233 / 238
页数:6
相关论文
共 29 条
[1]   Relative stability of P63/m and P63 structures of β-Si3N4 [J].
Belkada, R ;
Kohyama, M ;
Shibayanagi, T ;
Naka, M .
PHYSICAL REVIEW B, 2002, 65 (09)
[2]   Ab initio calculations of the atomic and electronic structure of β-silicon nitride [J].
Belkada, R ;
Shibayanagi, T ;
Naka, M ;
Kohyama, M .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 2000, 83 (10) :2449-2454
[3]   GROUND-STATE OF THE ELECTRON-GAS BY A STOCHASTIC METHOD [J].
CEPERLEY, DM ;
ALDER, BJ .
PHYSICAL REVIEW LETTERS, 1980, 45 (07) :566-569
[4]   Ab-initio total energy calculation of α- and β-silicon nitride and the derivation of effective pair potentials with application to lattice dynamics [J].
Ching, WY ;
Xu, YN ;
Gale, JD ;
Rühle, M .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1998, 81 (12) :3189-3196
[5]   Full ab initio geometry optimization of all known crystalline phases of Si3N4 [J].
Ching, WY ;
Ouyang, LZ ;
Gale, JD .
PHYSICAL REVIEW B, 2000, 61 (13) :8696-8700
[6]   Structural properties of amorphous silicon nitride [J].
de Brito Mota, F ;
Justo, JF ;
Fazzio, A .
PHYSICAL REVIEW B, 1998, 58 (13) :8323-8328
[7]   CRYSTAL-STRUCTURE OF BETA-SI3N4 - STRUCTURAL AND STABILITY CONSIDERATIONS BETWEEN ALPHA-SI3N4 AND BETA-SI3N4 [J].
GRUN, R .
ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE, 1979, 35 (APR) :800-804
[8]  
Hay JC, 1998, J AM CERAM SOC, V81, P2661, DOI 10.1111/j.1151-2916.1998.tb02674.x
[9]   EFFECT OF GRAIN-GROWTH OF BETA-SILICON NITRIDE ON STRENGTH, WEIBULL MODULUS, AND FRACTURE-TOUGHNESS [J].
HIROSAKI, N ;
AKIMUNE, Y ;
MITOMO, M .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1993, 76 (07) :1892-1894
[10]   Molecular dynamics calculation of the ideal thermal conductivity of single-crystal α- and β-Si3N4 -: art. no. 134110 [J].
Hirosaki, N ;
Ogata, S ;
Kocer, C ;
Kitagawa, H ;
Nakamura, Y .
PHYSICAL REVIEW B, 2002, 65 (13) :1-11