Unexpected strain-stiffening in crystalline solids

Nature

Volumn 496, Issue 7445, 2013, Pages 339-342

  Jiang, Chao ^a   Srinivasan, Srivilliputhur G ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM; ALUMINUM BOROCARBIDE; CEMENTITE; CRYSTALLIN; IRON; UNCLASSIFIED DRUG;

ALUMINUM COMPOUND; BIOLOGICAL METHOD; CEMENT; CHEMICAL BONDING; CRYSTALLINITY; SHEAR; SHEAR MODULUS; SHEAR STRENGTH;

ARTICLE; CHEMICAL BOND; COVALENT BOND; CRYSTAL STRUCTURE; PRIORITY JOURNAL; RIGIDITY; SHEAR STRENGTH; STRAIN STIFFENING; TENSILE STRENGTH;

EID: 84876285079     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature12008     Document Type: Article

References (30)

1. Storm, C., Pastore, J. J., Mackintosh, F. C., Lubensky, T. C.& Janmey, P. A. Nonlinear elasticity in biological gels. Nature 435, 191-194 (2005).
2. Shadwick, R. E.Mechanical design in arteries. J. Exp. Biol. 202, 3305-3313 (1999).
3. Meyers, M. & Chawla, K. Mechanical Behavior of Materials Ch. 2 (Cambridge Univ. Press, 2008).
4. Frenkel, J. Zur theorie der elastizitätsgrenze und der festigkeit kristallinischer körper. Z. Phys. 37, 572-609 (1926).
5. Kelly, A. Strong Solids Ch. 1 (Clarendon Press, 1973).
6. Teter, D. M. Computational alchemy: the search for new superhard materials. Mater. Res. Bull. 23, 22-27 (1998).
7. Jhi, S. H., Ihm, J., Louie, S. G. & Cohen, M. L. Electronic mechanism of hardness enhancement in transition-metal carbonitrides. Nature 399, 132-134 (1999).
8. Wood, B. J. Carbon in the core. Earth Planet. Sci. Lett. 117, 593-607 (1993).
9. Jiang, C., Srinivasan, S. G., Caro, A. & Maloy, S. A. Structural, elastic, and electronic properties of Fe3C from first principles. J. Appl. Phys. 103, 043502 (2008).
10. Wang, H. & Li, M. Ab initio calculations of second-, third-, and fourth-order elastic constants for single crystals. Phys. Rev. B 79, 224102 (2009).
11. Nikolussi, N. et al. Extreme elastic anisotropy of cementite, Fe3C: first-principles calculations and experimental evidence. Scr. Mater. 59, 814-817 (2008).
12. Fang, C. M., Sluiter, M. H. F., vanHuis, M. A.,Ande, C. K.&Zandbergen, H. W. Origin of predominance of cementite among iron carbides in steel at elevated temperature. Phys. Rev. Lett. 105, 055503 (2010).
13. Umemoto, M., Liu, Z. G., Masuyama, K. & Tsuchiy, K. Influence of alloy additions on production and properties of bulk cementite. Scr. Mater. 45, 391-397 (2001).
14. Alkorta, J.&Sevillano, J. G. Assessment of elastic anisotropy and incipient plasticity in Fe3C by nanoindentation. J. Mater. Res. 27, 45-52 (2012).
15. Legut, D., Friak, M. & Sob, M. Phase stability, elasticity, and theoretical strength of polonium from first principles. Phys. Rev. B 81, 214118 (2010).
16. Grimvall, G., Magyari-Kope, B., Ozolins, V. & Persson, K. A. Lattice instabilities in metallic elements. Rev. Mod. Phys. 84, 945-986 (2012).
17. Roundy, D., Krenn, C. R., Cohen, M. L. & Morris, J. W. Ideal shear strengths of fcc aluminum and copper. Phys. Rev. Lett. 82, 2713-2716 (1999).
18. Telling, R. H., Pickard, C. J., Payne, M. C. & Field, J. E. Theoretical strength and cleavage of diamond. Phys. Rev. Lett. 84, 5160-5163 (2000).
19. Chacham, H.& Kleinman, L. Instabilities in diamond under high shear stress. Phys. Rev. Lett. 85, 4904-4907 (2000).
20. Jhi, S. H., Louie, S. G., Cohen, M. L. & Morris, J. W. Mechanical instability and ideal shear strength of transition metal carbides and nitrides. Phys. Rev. Lett. 87, 075503 (2001).
21. Ogata, S., Li, J.&Yip, S. Ideal pure shear strength of aluminumand copper. Science 298, 807-811 (2002).
22. Zhao, H. E.&Suo, Z. G.Theory of dielectric elastomers capable of giant deformation of actuation. Phys. Rev. Lett. 104, 178302 (2010).
23. Sǒb, M., Wang, L. G. & Vitek, V. Theoretical tensile stress in tungsten single crystals by full-potential first-principles calculations. Mater. Sci. Eng. A 234-236, 1075-1078 (1997).
24. Krenn, C. R., Roundy, D., Cohen, M. L., Chrzan, D. C. & Morris, J. W. Connecting atomistic and experimental estimates of ideal strength. Phys. Rev. B 65, 134111 (2002).
25. Minor, A. M. et al.A newviewof the onset of plasticityduring the nanoindentation of aluminium. Nature Mater. 5, 697-702 (2006).
26. Lee, S. H. et al. Chemical composition and microstructure of Al3BC3 prepared by different densification methods. J. Eur. Ceram. Soc. 30, 1015-1020 (2010).
27. Wang, J. Y., Zhou, Y. C., Liao, T. & Lin, Z. J. First-principles prediction of low shearstrain resistance of Al3BC3: a metal borocarbide containing short linear BC2 units. Appl. Phys. Lett. 89, 021917 (2006).
28. Teter, D. M. & Hemley, R. J. Low-compressibility carbon nitrides. Science 271, 53-55 (1996).
29. Dubrovinsky, L. S. et al. The hardest known oxide. Nature 410, 653-654 (2001).
30. Kaner, R. B., Gilman, J.&Tolbert, S. H.Designing superhardmaterials. Science308, 1268-1269 (2005).