Size dependent, non-uniform elastic field inside a nano-scale spherical inclusion due to interface stress

International Journal of Solids and Structures

Volumn 43, Issue 17, 2006, Pages 5055-5065

  Lim, C W ^a   Li, Z R ^a   He, L H ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Interface stress; Size effect; Spherical inclusion

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; INTERFACES (MATERIALS); SOLIDS; STRAIN;

INTERFACE STRESS; SIZE EFFECT; SPHERICAL INCLUSION;

STRESS ANALYSIS;

EID: 33745954511     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.08.007     Document Type: Article

References (19)

1. Bimberg D., Grundmann M., and Ledentsov M.N. Quantum Dot Heterostructures (1999), John Wiley & Sons, Chichester
2. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceedings of Royal Society A 241 (1957) 376-396
3. Goodier J.N. Concentration of stress around spherical and cylindrical inclusions and flaws. Journal of Applied Mechanics 55 (1933) 39-44
4. Gurtin M.E., and Murdoch A. A continuum theory of elastic material surfaces. Archives of Rational Mechanics Analysis 57 (1975) 291-323
5. Gurtin M.E., Weissmuller J., and Larche F. A general theory of curved deformable interfaces in solids at equilibrium. Philosophical Magazine A 78 (1998) 1093-1109
6. He L.H., Lim C.W., and Wu B.S. A continuum model for size-dependent deformation of elastic films of nano-scale thickness. International Journal of Solids and Structures 41 (2004) 847-857
7. Love A.E.H. Mathematical Theory of Elasticity (1944), Dover Publications, New York, Netherlands
8. Miller R.E., and Shenoy V.B. Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11 (2000) 139-147
9. Mura T. Micromechanics of Defects in Solids (1987), Martinus-Nijhoff, Netherlands
10. Rose, K.C., Wang, J., Hutchinson, J.W., Lieber, C.M., 2000. Nanoplate mechanics: dramatic decrease in young's modulus, unpublished.
11. Sharma P., and Ganti S. Interfacial elasticity corrections to size-dependent strain-state of embedded quantum dots. Physique Status Solida B 234 (2002) R10-R12
12. Sharma P., and Ganti S. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics 71 (2004) 663-671
13. Sharma P., Ganti S., and Bhate N. Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters 82 (2003) 535-537
14. Sun C.T., and Zhang H. Size-dependent elastic moduli of platelike nanomaterials. Journal of Applied Physics 93 (2003) 1212-1218
15. Sun L., Wu Y.M., Huang Z.P., and Wang J.X. Interface effect on the effective bulk modulus of a particle-reinforced composite. Acta Mechanica Sinica 20 (2004) 676-679
16. Wang L.G., Kratzer P., Scheffler M., and Moll N. Formation and stability of self-assembled coherent islands in highly mismatched heteroepitaxy. Physical Review Letters 82 (1999) 4042-4045
17. Wong E., Sheehan P.E., and Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277 (1997) 1971-1975
18. Yang F.Q. Size-dependent effective modulus of elastic composite materials: spherical nanocavities at dilute concentrations. Journal of Applied Physics 95 (2004) 3220-3516
19. Zhou L.G., and Huang H. Are surfaces elastically softer or stiffer?. Applied Physics Letters 84 (2004) 1940-1942