A continuum model for size-dependent deformation of elastic films of nano-scale thickness

International Journal of Solids and Structures

Volumn 41, Issue 3-4, 2004, Pages 847-857

  He, L H ^a   Lim, C W ^b   Wu, B S ^c  

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

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c JILIN UNIVERSITY   (China)

Author keywords

Size effect; Surface elasticity; Thin film

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DEFORMATION; MATHEMATICAL MODELS; PROBLEM SOLVING; ULTRATHIN FILMS;

MECHANICAL RESPONSE;

ELASTICITY;

ELASTIC DEFORMATION; NANOTECHNOLOGY;

EID: 0347300631     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.10.001     Document Type: Article

References (15)

1. Gurtin M.E. Murdoch A. A continuum theory of elastic material surfaces Archives of Rational Mechanics and Analysis 57 1975 291-323
2. Gurtin M.E. Weissmuller J. Larche F. A general theory of curved deformable interfaces in solids at equilibrium Philosophical Magazine A 78 1998 1093-1109
3. He L.H. Lim C.W. On the bending of unconstrained thin crystalline plates caused by change in surface stress Surface Science 478 2001 203-210
4. Miller R.E. Shenoy V.B. Size-dependent elastic properties of nanosized structural elements Nanotechnology 11 2000 139-147
5. Rose, K.C., Wang, J., Hutchinson J.W., Lieber, C.M., 2000. Nanoplate mechanics: dramatic decrease in Young's modulus, unpublished
6. Sharma P. Ganti S. Interfacial elasticity corrections to size-dependent strain-state of embedded quantum dots Physique Status Solida B 234 2002 R10-R12
7. Sharma P. Ganti S. Bhate N. Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities Applied Physics Letters 82 2003 535-537
8. 3 structures by atomic force microscopy Science 272 1996 1156-1161
9. Shenoy V.B. Size-dependent rigidities of nanosized torsional elements International Journal of Solids and Structures 39 2002 4039-4052
10. Sun C.T. Zhang H. Size-dependent elastic moduli of platelike nanomaterials Journal of Applied Physics 93 2003 1212-1218
11. Terrones M. Grobert N. Hsu W. Hu Y. Terrones H. Hare J. Kroto H. Walton D. Advances in the creation of filled nanotubes and novel nanowires Material Research Society Bulletin 24 1999 43-49
12. Timoshenko S. Gere J.M. Theory of Elasticity 1951 McGraw-Hill New York
13. Timoshenko S. Woinowsky-Krieger S. Theory of Plates and Shells 1959 McGraw-Hill New York
14. Wong E. Sheehan P.E. Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorod sand nanotubes Science 277 1997 1971-1975
15. 1,000,000and beyond American Science 85 1997 324-337