Phase transitions and anisotropic responses of planar triangular nets under large deformation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 4, 1997, Pages 4762-4772

  Discher, Dennis E ^a   Boal, David H ^a   Boey, S K ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000844063     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.4762     Document Type: Article

References (27)

1. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, London, 1959), Chap. I.
2. T. J. Byers and D. Branton, Proc. Natl. Acad. Sci. U.S.A. 82, 6153 (1985); note that the red cell cytoskeleton has on the order 3×(Formula presented) network nodes. The largest planar system we have studied is a fraction of this.
3. D. E. Discher, N. Mohandas and E. A. Evans, Science 266, 1032 (1994).
4. E. A. Evans and R. Skalak, Mechanics and Thermodynamics of Biomembranes (CRC, Boca Raton, FL, 1980).
5. D. H. Pearson and R. J. Tonucci, Science 270, 68 (1995).
6. J. A. Krumhansl, J. Phys. (Paris) Colloq. 5, C2-3 (1995).
7. P. W. Anderson and E. I. Blount, Phys. Rev. Lett. 14, 217 (1965).
8. Z. Fan, L. Xiao and Z. Jinxiu, Phys. Rev. Lett. 77, 1394 (1996).
9. D. H. Boal, U. Seifert and J. C. Shillcock, Phys. Rev. E 48, 4274 (1993).
10. P. N. Keating, Phys. Rev. 145, 637 (1966).
11. See, for example, K. A. Olive, Nucl. Phys. B 190, 483 (1981).
12. Statistical Mechanics of Membranes and Surfaces, edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989), and articles and references therein.
13. A. Lobkovsky, S. Gentges, H. Li, D. Morse and T. A. Witten, Science 270, 1482 (1995).
14. A. E. Green and J. E. Adkins, Large, Elastic Deformations (Clarendon, Oxford, 1960), Chap. 1.
15. G. Maugin, Material Inhomogeneities in Elasticity (Chapman and Hall, London, 1993), Chap. 5.
16. J. H. Wiener, Statistical Mechanics of Elasticity (Wiley, New York, 1983), Chaps. 1 and 5.
17. J. K. Liakos and G. A. Saunders, Philos. Mag. A 46, 217 (1982).
18. G. F. Smith and R. S. Rivlin, Trans. Am. Math. Soc. 125, 175 (1953).
19. V. A. Chernenko and V. A. L'vov, Philos. Mag. A 73, 999 (1996).
20. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1953).
21. P. J. Flory, J. Chem. Phys. 66, 5720 (1977).
22. J. C. Shillcock, Ph.D. thesis, Simon Fraser University, 1995, Chap. 3 (unpublished).
23. See, for example, H. B. Callen, Thermodynamics (Wiley, New York, 1960), Appendix E.
24. Y. Kantor, Phys. Rev. A 39, 6582 (1989).
25. D. H. Boal, Biophys. J. 67, 521 (1994);S. K. Boey, D. H. Boal, and D. E. Discher (private communication).
26. P. G. deGennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979), Chap. I.
27. E. Levinson, Ph.D. thesis, Simon Fraser University, 1992, Chap. 3 (unpublished).