Dubois, Simon M-M
[UCL]
Rignanese, Gian-Marco
[UCL]
Pardoen, Thomas
[UCL]
Charlier, Jean-Christophe
[UCL]
The ideal strength of silicon is predicted along various loading paths using density functional theory. Stress-strain curves are calculated under uniaxial tension, relaxed shear, and uniaxial deformation conditions. In order to check the stability of the deformation paths, the phonon spectra and the stiffness tensors are computed within density-functional perturbation theory. A second-order phase transition is found to occur before the elastic instability when applying a {111}<(1) over bar(1) over bar2 > relaxed shear. In all the other deformation conditions, the first predicted instabilities are located at the center of the Brillouin zone. Finally, the crystallographic nature of the instabilities is investigated by the calculation of the phonon eigendisplacements and by the decomposition of the stiffness tensors.
- Brenner S. S., Tensile Strength of Whiskers, 10.1063/1.1722294
- A. Kelly, Strong Solids (1986)
- Krenn C. R., Roundy D., Cohen Marvin L., Chrzan D. C., Morris J. W., Connecting atomistic and experimental estimates of ideal strength, 10.1103/physrevb.65.134111
- Telling R. H., Pickard C. J., Payne M. C., Field J. E., Theoretical Strength and Cleavage of Diamond, 10.1103/physrevlett.84.5160
- Clatterbuck D. M., Krenn C. R., Cohen Marvin L., Morris J. W., Phonon Instabilities and the Ideal Strength of Aluminum, 10.1103/physrevlett.91.135501
- Van der Ven A, The thermodynamics of decohesion, 10.1016/j.actamat.2003.11.007
- Born Max, On the stability of crystal lattices. I, 10.1017/s0305004100017138
- M. Born, Dynamical Theory of Crystal Lattices (1954)
- Zhou Z., Joós B., Stability criteria for homogeneously stressed materials and the calculation of elastic constants, 10.1103/physrevb.54.3841
- Morris J. W., Krenn C. R., The internal stability of an elastic solid, 10.1080/01418610008223897
- Wang Jinghan, Yip Sidney, Phillpot S. R., Wolf Dieter, Crystal instabilities at finite strain, 10.1103/physrevlett.71.4182
- Wang Jinghan, Li Ju, Yip Sidney, Phillpot Simon, Wolf Dieter, Mechanical instabilities of homogeneous crystals, 10.1103/physrevb.52.12627
- Jhi Seung-Hoon, Louie Steven G., Cohen Marvin L., Morris J. W., Mechanical Instability and Ideal Shear Strength of Transition Metal Carbides and Nitrides, 10.1103/physrevlett.87.075503
- D. C. Wallace, Thermodynamics of Crystals (1972)
- Roundy David, Cohen Marvin L., Ideal strength of diamond, Si, and Ge, 10.1103/physrevb.64.212103
- Yashiro Kisaragi, Oho Masashi, Tomita Yoshihiro, Ab initio study on the lattice instability of silicon and aluminum under [001] tension, 10.1016/j.commatsci.2003.10.013
- Ogata Shigenobu, Li Ju, Hirosaki Naoto, Shibutani Yoji, Yip Sidney, Ideal shear strain of metals and ceramics, 10.1103/physrevb.70.104104
- Zhu Ting, Li Ju, Yip Sidney, Atomistic Configurations and Energetics of Crack Extension in Silicon, 10.1103/physrevlett.93.205504
- Pérez R, Gumbsch P, An ab initio study of the cleavage anisotropy in silicon, 10.1016/s1359-6454(00)00238-x
- Nielsen O. H., Martin Richard M., Stresses in semiconductors:Ab initiocalculations on Si, Ge, and GaAs, 10.1103/physrevb.32.3792
- Bylander D. M., Kleinman Leonard, Lee Seongbok, Self-consistent calculations of the energy bands and bonding properties ofB12C3, 10.1103/physrevb.42.1394
- Baroni Stefano, Giannozzi Paolo, Testa Andrea, Green’s-function approach to linear response in solids, 10.1103/physrevlett.58.1861
- Gonze X., Vigneron J.-P., Density-functional approach to nonlinear-response coefficients of solids, 10.1103/physrevb.39.13120
- Gonze X., Beuken J.-M., Caracas R., Detraux F., Fuchs M., Rignanese G.-M., Sindic L., Verstraete M., Zerah G., Jollet F., Torrent M., Roy A., Mikami M., Ghosez Ph., Raty J.-Y., Allan D.C., First-principles computation of material properties: the ABINIT software project, 10.1016/s0927-0256(02)00325-7
- Goedecker S., Teter M., Hutter J., Separable dual-space Gaussian pseudopotentials, 10.1103/physrevb.54.1703
- Troullier N., Martins José Luriaas, Efficient pseudopotentials for plane-wave calculations, 10.1103/physrevb.43.1993
- Monkhorst Hendrik J., Pack James D., Special points for Brillouin-zone integrations, 10.1103/physrevb.13.5188
- Basile G., Bergamin A., Cavagnero G., Mana G., Vittone E., Zosi G., Measurement of the silicon (220) lattice spacing, 10.1103/physrevlett.72.3133
- G. Simmons, Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook (1971)
- Wortman J. J., Evans R. A., Young's Modulus, Shear Modulus, and Poisson's Ratio in Silicon and Germanium, 10.1063/1.1713863
- Cowin S.C., Mehrabadi M.M., The structure of the linear anisotropic elastic symmetries, 10.1016/0022-5096(92)90029-2
- Sutcliffe S., Spectral Decomposition of the Elasticity Tensor, 10.1115/1.2894040
- Born Max, Huang Kun, Lax M., Dynamical Theory of Crystal Lattices, 10.1119/1.1934059
- George Amand, Michot Gérard, Dislocation loops at crack tips: nucleation and growth— an experimental study in silicon, 10.1016/0921-5093(93)90649-y
- G. Michot, Cryst. Prop. Prep., 17-18, 55 (1988)
- Cottam R I, Saunders G A, The elastic constants of GaAs from 2 K to 320 K, 10.1088/0022-3719/6/13/011
- Grimsditch M., Zouboulis E. S., Polian A., Elastic constants of boron nitride, 10.1063/1.357757
Bibliographic reference |
Dubois, Simon M-M ; Rignanese, Gian-Marco ; Pardoen, Thomas ; Charlier, Jean-Christophe. Ideal strength of silicon: An ab initio study. In: Physical review B. Condensed matter and materials physics, Vol. 74, no. 23, p. 235203 (2006) |
Permanent URL |
http://hdl.handle.net/2078.1/37859 |