Elastic-instability triggered pattern formation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 2, 2009, Pages

  Matsumoto, Elisabetta A ^a   Kamien, Randall D ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR HOLES; COMPLEX PATTERN; DISLOCATION DIPOLE; ELASTIC INSTABILITIES; LINEAR ELASTICITY THEORY; NON-LINEAR ELASTIC BEHAVIOR; ORIENTATIONAL ORDERS; PATTERN FORMATION; RATIONAL DESIGN; SIMPLE MODEL; SQUARE LATTICES; UNIFORM COMPRESSION;

EID: 70349556159     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.021604     Document Type: Article

References (32)

1. E. Katifori (private communication).
2. R. E. Reichelt and R. H. Bradbury, Mar. Ecol.: Prog. Ser. 17, 251 (1984) 10.3354/meps017251
3. A. L. Cohen and T. A. McConnaughey, Rev. Mineral. Geochem. 54, 151 (2003). 10.2113/0540151
4. R. Penrose, Ann. Hum. Genet. 42, 435 (1979). 10.1111/j.1469-1809.1979. tb00677.x
5. T. Tanaka, Nature (London) 325, 796 (1987) 10.1038/325796a0
6. N. Bowden, Nature (London) 393, 146 (1998) 10.1038/30193
7. S. Herminghaus, Science 282, 916 (1998) 10.1126/science.282.5390.916
8. B. A. Grzybowski, Soft Matter 1, 114 (2005) 10.1039/b501769f
9. Y. Klein, E. Efrati, and E. Sharon, Science 315, 1116 (2007) 10.1126/science.1135994
10. R. D. Kamien, Science 315, 1083 (2007). 10.1126/science.1138506
11. E. P. Chan and A. J. Crosby, Adv. Mater. (Weinheim, Ger.) 18, 3238 (2006) 10.1002/adma.200601595
12. D. P. Holmes and A. J. Crosby, Adv. Mater. (Weinheim, Ger.) 19, 3589 (2007). 10.1002/adma.200700584
13. D. Y. Khang, H. Q. Jiang, Y. Huang, and J. A. Rogers, Science 311, 208 (2006). 10.1126/science.1121401
14. Y. Zhang, Nano Lett. 8, 1192 (2008). 10.1021/nl0801531
15. X. Zhu, Appl. Phys. Lett. 93, 161911 (2008). 10.1063/1.3006061
16. T. Mullin, S. Deschanel, K. Bertoldi, and M. C. Boyce, Phys. Rev. Lett. 99, 084301 (2007) 10.1103/PhysRevLett.99.084301
17. K. Bertoldi, J. Mech. Phys. Solids, 56, 2642 (2008). 10.1016/j.jmps.2008. 03.006
18. E. A. Abbott, Flatland: A Romance of Many Dimensions (Barnes & Noble Books, New York, 1963).
19. R. von Mises, U.S. Experimental Model Basin, Report No. 366, (Navy Tar, Washington, D.C., 1933), Trans. 6.
20. A. E. Green and W. Zerna, Theoretical Elasticity (Clarendon Press, Oxford, 1954).
21. G. B. Jeffery, Philos. Trans. R. Soc. London, Ser. A 221, 265 (1921). 10.1098/rsta.1921.0009
22. R. C. J. Howland, Proc. R. Soc. London, Ser. A 148, 471 (1935). 10.1098/rspa.1935.0030
23. R. C. J. Howland and R. C. Knight, Philos. Trans. R. Soc. London, Ser. A 238, 357 (1939). 10.1098/rsta.1939.0010
24. A. C. Stevenson, Proc. R. Soc. London, Ser. A 184, 218 (1945). 10.1098/rspa.1945.0018
25. A. E. Green, Proc. R. Soc. London, Ser. A 176, 121 (1940). 10.1098/rspa.1940.0082
26. C.-B. Ling, J. Appl. Phys. 19, 77 (1948). 10.1063/1.1697875
27. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Elsevier, New York, 1986).
28. J. P. Hirth and J. Lothe, Theory of Dislocations, 2nd ed. (John Wiley & Sons, New York, 1982).
29. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, England, 1995).
30. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 2nd ed. (Cambridge University Press, Cambridge, England, 1906).
31. J. H. Heinbockel, Introduction to Tensor Calculus and Continuum Mechanics (Trafford, Victoria, B.C., 2001).
32. We use the convention xi to represent the ith component of a Cartesian coordinate system, where the subscript can be any Roman letter. Components of another orthogonal coordinate system are denoted by ξμ for any Greek subscript.