New amplitude equations for thin elastic rods

Physical Review Letters

Volumn 77, Issue 17, 1996, Pages 3537-3540

  Goriely, Alain ^a   Tabor, Michael ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012920014     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.77.3537     Document Type: Article

References (19)

1. M. D. Barkley and B. H. Zimm, J. Chem. Phys. 70, 2991 (1979)
2. J. P. Keener, J. Fluid Mech. 211, 629 (1990)
3. J. Coyne, IEEE J. Ocean. Eng. 15, 72 (1990)
4. J. H. Fuhrhop and W. Helfrich, Chem. Rev. 93, 1565 (1993)
5. J. F. Marko and E. D. Siggia, Phys. Rev. E 52, 2912 (1995)
6. I. Klapper, J. Comput. Phys. 125, 325 (1996). JCTPAH
7. C. G. Lange and A. C. Newell, SIAM J. Appl. Math. 21, 605 (1971). SMJMAP
8. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Cambridge University Press, Cambridge, 1892).
9. E. H. Dill, Arch. Hist. Exact. Sci. 44, 2 (1992).
10. B. D. Coleman et al., Arch. Ration. Mech. Anal. 121, 339 (1993). AVRMAW
11. A. Goriely and M. Tabor, “Nonlinear Dynamics of Filaments: I. Dynamical Instabilities” (to be published).
12. A. Goriely and M. Tabor, “Nonlinear Dynamics of Filaments:II. Nonlinear Analysis” (to be published).
13. P. Coullet and L. Gil, Solid State Phenom. 3,4, 57 (1988). DDBPE8
14. J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 3 (1983). JMAPAJ
15. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon Press, Oxford, 1959).
16. A. Beliaev and A. Il'ichev, Physica (Amsterdam) 90D, 107 (1996). PDNPDT
17. A. Goriely and J. Lega, “Pulse, Fronts and Oscillations of an Elastic Rod” (to be published).
18. L. A. Segel, J. Fluid Mech. 38, 203 (1969)
19. M. C. Cross, P. G. Daniels, P. C. Hohenberg, and E. D. Siggia, J. Fluid Mech. 127, 155 (1983). JFLSA7