Passing stiffness anisotropy in multilayers and its effects on nanoscale surface self-organization

International Journal of Solids and Structures

Volumn 40, Issue 23, 2003, Pages 6429-6444

  Gao, Y F ^a  

^a Princeton University   (United States)

Author keywords

Anisotropic elasticity; Multilayer; Nanostructure; Self organization; Surface stress

Indexed keywords

ANISOTROPY; FOURIER TRANSFORMS; MULTILAYERS;

SURFACE STRESSES;

STIFFNESS;

LAMINATED MATERIAL; STIFFNESS;

EID: 0141683635     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00373-1     Document Type: Article

References (22)

1. Alerhand O.L. Vanderbilt D. Meade R.D. Joannopoulos J.D. Spontaneous formation of stress domains on crystal surfaces Phys. Rev. Lett. 61 1988 1973-1976
2. Ellmer H. Repain V. Rousset S. Croset B. Sotto M. Zeppenfeld P. Self-ordering in two dimensions: nitrogen adsorption on copper (100) followed by STM at elevated temperature Surf. Sci. 476 2001 95-106
3. Eshelby J.D. Read W.T. Shockley W. Anisotropic elasticity with applications to dislocation theory Acta Metall. 1 1953 251-259
4. Gao Y.F. Lu W. Suo Z. A mesophase transition in a binary monolayer on a solid surface Acta Mater. 50 2002 2297-2308
5. Gao Y.F. Suo Z. Guided self-assembly of molecular dipoles on a substrate surface J. Appl. Phys. 93 2003 4276-4282
6. Gao Y.F. Suo Z. The orientation of the self-assembled monolayer stripes on a crystalline substrate J. Mech. Phys. Solids 51 2003 147-167
7. Gurtin M.E. Murdoch A.I. Effect of surface stress on wave propagation in solids J. Appl. Phys. 47 1976 4414-4421
8. Ibach H. The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures Surf. Sci. Rep. 29 1997 195-263
9. Kern K. Niehus H. Schatz A. Zeppenfeld P. Goerge J. Comsa G. Long-range spatial self-organization in the adsorbate-induced restructuring of surfaces: Cu{110}-(2×1)O Phys. Rev. Lett. 67 1991 855-858
10. Lekhnitskii S.G. Theory of Elasticity of an Anisotropic Body 1963 Holden-Day San Francisco
11. Lu W. Suo Z. Symmetry breaking in self-assembled monolayers on solid surface. I. Anisotropic surface stress Phys. Rev. B. 65 2002 085401
12. Lu W. Suo Z. Symmetry breaking in self-assembled monolayers on solid surfaces. II. Anisotropic substrate elasticity Phys. Rev. B. 65 2002 205418
13. Murdoch A.I. The propagation of surface waves in bodies with material boundaries J. Mech. Phys. Solids 24 1976 137-146
14. Ng K.-O. Vanderbilt D. Stability of periodic domain structures in a two-dimensional dipolar model Phys. Rev. B 52 1995 2177-2183
15. Pohl K. Bartelt M.C. de la Figuera J. Bartelt N.C. Hrbek J. Hwang R.Q. Identifying the forces responsible for self-organization of nanostructures at crystal surfaces Nature 397 1999 238-241
16. Somorjai G.A. Introduction to Surface Chemistry and Catalysis 1994 Wiley-Interscience New York
17. Stroh A.N. Dislocations and cracks in anisotropic elasticity Philos. Mag. 7 1958 625-646
18. Suo Z. Singularities, interfaces and cracks in dissimilar anisotropic media Proc. R. Soc. Lond. A 427 1990 331-358
19. Suo Z. Lu W. Composition modulation and nanophase separation in binary epilayer J. Mech. Phys. Solids 48 2000 211-232
20. Ting T.C.T. Anisotropic Elasticity: Theory and Applications 1996 Oxford University Press UK
21. Thomson R. Chuang T.-J. Lin I.-H. The role of surface stress in fracture Acta Metall. 34 1986 1133-1143
22. Zeppenfeld P. Krzyzowski M.A. Romainczyk Ch. David R. Comsa G. Röder H. Bromann K. Brune H. Kern K. Stability of disk and stripe patterns of nanostructures at surfaces Surf. Sci. 342 1995 L1131-L1136