Nanoparticles under the influence of surface/interface elasticity

Journal of Mechanics of Materials and Structures

Volumn 1, Issue 4, 2006, Pages 763-791

  Mi, Changwen ^a   Kouris, Demitris A ^a  

^a UNIVERSITY OF WYOMING   (United States)

Author keywords

Half space; Inhomogeneity; Surface interface effects

Indexed keywords

NANOPARTICLES; SEMICONDUCTOR QUANTUM DOTS;

CONTINUUM ELASTICITY THEORY; MULTI-LAYERED SYSTEMS; SELF ORGANIZATIONS; STRAINED ISLANDS; SURFACE ELASTICITIES; SURFACE/INTERFACE; SURROUNDING MATERIALS; TECHNOLOGICAL SIGNIFICANCE;

ELASTICITY;

EID: 33846344107     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2006.1.763     Document Type: Article

References (20)

1. A. W. Adamson, Physical chemistry of surfaces, Wiley, New York, 1982.
2. J. W. Cahn and F. Larche, "Surface stress and the chemical equilibrium of small crystals. II. solid particles embedded in a solid matrix", Acta Metall. 30:1 (1982), 51-56.
3. H. L. Duan, J. Wang, Z. P. Huang, and B. L. Karihaloo, "Eshelby formalism for nano-inhomogeneities", P. Roy. Soc. Lond. A Mat. 461:2062 (2005), 3335-3353.
4. H. L. Duan, J. Wang, Z. P. Huang, and Z. Y. Luo, "Stress concentration tensors of inhomogeneities with interface effects", Mech. Mater. 37:7 (2005), 723-736.
5. I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series and products, 5th ed., Academic Press, San Diego, 1994.
6. M. E. Gurtin and A. I. Murdoch, "A continuum theory of elastic material surfaces", Arch. Ration. Mech. An. 57:4 (1975), 291-323.
7. M. E. Gurtin and A. I. Murdoch, "A continuum theory of elastic material surfaces", Arch. Ration. Mech. An. 59:4 (1975), 389-390.
8. M. E. Gurtin and A. I. Murdoch, "Surface stress in solids", Int. J. Solids Struct. 14:6 (1978), 431-440.
9. M. E. Gurtin, J. Weissmuller, and F. Larche, "A general theory of curved deformable interfaces in solids at equilibrium", Philos. Mag. A 78:5 (1998), 1093-1109.
10. R. E. Miller and V. B. Shenoy, "Size-dependent elastic properties of nanosized structural elements", Nanotechnology 11:3 (2000), 139-147.
11. R. D. Mindlin and D. H. Cheng, "Thermoelastic stress in the semi-infinite solid", J. Appl. Phys. 21:9 (1950), 931-933.
12. P. M. Morse and H. Feshbach, Methods of theoretical physics, vol. II, McGraw-Hill, New York, 1953.
13. T. Mura, Micromechanics of defects in solids, Martinus Nijhoff, The Hague, 1987.
14. P. Sharma and S. Ganti, "Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies", J. Appl. Mech. (Trans. ASME) 71:5 (2004), 663-671.
15. P. Sharma, S. Ganti, and N. Bhate, "Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities", Appl. Phys. Lett. 82:4 (2003), 535-537.
16. I. N. Sneddon, Fourier transforms, McGraw-Hill, New York, 1951.
17. J. Tersoff, C. Teichert, and M. G. Lagally, "Self-organization in growth of quantum dot superlattices", Phys. Rev. Lett. 76:10 (1996), 1675-1678.
18. E. Tsuchida and I. Nakahara, "Three-dimensional stress concentration around a spherical cavity in a semi-infinite elastic body", Bull. Jpn. Soc. Mech. Eng. 13:58 (1970), 499-508.
19. E. Tsuchida and I. Nakahara, "Stresses in a semi-infinite body subjected to uniform pressure on the surface of a cavity and the plane boundary", Bull. Jpn. Soc. Mech. Eng. 15:79 (1972), 1-10.
20. S. Tsutsui, S. Chikamatsu, and K. Saito, "Stress field of the semi-infinite medium containing a spherical inclusion under all-around tension", Trans. Jpn. Soc. Mech. Eng. 40:337 (1974), 2484-2493.