The internal stability of an elastic solid

Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

Volumn 80, Issue 12, 2000, Pages 2827-2840

  Morris, J W ^a,b   Krenn, C R ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; MATRIX ALGEBRA; SOLIDS; STABILITY; STRAIN; STRENGTH OF MATERIALS; STRESSES;

CAUCHY STRESS; ELASTIC SOLID; ELASTIC STABILITY;

CRYSTALS;

EID: 0034588640     PISSN: 01418610     EISSN: None     Source Type: Journal    
DOI: 10.1080/01418610008223897     Document Type: Article

References (23)

1. Born, M., 1940, Proc. Camb. Phil. Soc., 36, 160.
2. Born, M., and Furth, R., 1940, Proc. Camb. Phil. Soc., 36, 455.
3. Eringen, A. C., 1989, Mechanics of Continua, second edition (Melbourne, Florida: Robert E. Krieger).
4. Gibbs, J. W., 1876, Trans. Conn. Acad., 3, 108
5. Gibbs, J. W., 1993, The Scientific Papers of J. Willard Gibbs, vol. 1, Thermodynamics (Woodbridge, Connecticut: Ox Bow Press), pp. 55-353.
6. Green, A. E., and Zerna, W., 1968, Theoretical Elasticity, second edition (Oxford University Press).
7. Hill, R., 1975, Math. Proc. Camb. Phil. Soc., 77, 225.
8. Hill, R., and Milstein, F., 1977, Phys. Rev. B, 15, 3087.
9. Kelly, A., and Macmillan, N. H., 1986, Strong Solids, third edition (Oxford: Clarendon).
10. Krenn, C. R., Roundy, D., Morris, J. W., Jr., and Cohen, M. L., 2000, Mater. Sci. Engng, A (to be published).
11. Lanczos, C., 1970, The Variational Principles of Mechanics, fourth edition (University of Toronto Press), pp. 80-86, 369-79.
12. Landau, L. D., and Liftshitz, E. M., 1980, Statistical Physics, Part 1, third edition (Oxford: Pergamon), pp. 65-68.
13. Li, W., and Wang, T., 1998, J. Phys.: condens. Matter, 10, 9889.
14. Milstein, F., Hill, R., and Huang, K., 1980, Phys. Rev. B, 21, 4282.
15. Milstein, F., and Chantasiriwan, F., 1998, Phys. Rev. B, 58, 6006.
16. Paxton, A. T., Gumbsch, P., and Methfessel, M., 1991, Phil. Mag. Lett., 63, 267.
17. Roundy, D., Krenn, C. R., Cohen, M. L., and Morris, J. W., Jr., 1999, Phys. Rev. Lett., 82, 2713.
18. Sob, M., Wang, L. G and Vitek, V., 1997, Mater. Sci. Engng, A234-A236, 1075.
19. Wallace, D. C., 1972, Thermodynamics of Crystals (New York: Wiley), pp. 14-32.
20. Wang, J., Li, J., Yip, S., Phillpot, S. R., and Wolf, D., 1995, Phys. Rev. B, 52, 12627.
21. Wang, J., Li, J., Yip, S., Wolf, D., and Phillpot, S. R., 1997, Physica A, 240, 396.
22. Wang, J., Yip, S., Phillpot, S. R., and Wolf, D., 1993, Phys. Rev. Lett., 71, 4182.
23. Xu, W., and Moriarty, J. A., 1996, Phys. Rev. B, 54, 6941.