An elastica problem: Instabilities of an elastic arch

Physica D: Nonlinear Phenomena

Volumn 124, Issue 1-3, 1998, Pages 285-295

  Patricio P ^a   Adda Bedia, M ^a   Ben Amar, M ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Elastica; Energy minimization; Instabilities; Nonlinear dynamics

Indexed keywords

EID: 4243875167     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00203-6     Document Type: Article

References (9)

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3. A.E.H. Love, Mathematical Theory of Elasticity, Cambridge University Press, Cambridge, 1927.
4. P. Patrício, M. Ben Amar, Y. Couder, in preparation.
5. A.V. Pogorelov, Bending of Surfaces and Stability of Shells, American Mathematical Society, Providence, RI, 1985.
6. S.S. Antman, Nonlinear Problems of Elasticity, Springer, New York, 1995.
7. R.E. Caflisch, J.H. Maddocks, Nonlinear dynamical theory of the elastica, Proc. R. Soc. Edinburgh A 99 (1984) 1-24.
8. B.D. Coleman, E.H. Dill, Flexure waves in elastic rods, J. Acoust. Soc. Am. 91 (1992) 2663-2673.
9. A. Goriely, M. Tabor, Nonlinear Dynamics of Filaments: I. Dynamical Instabilities, II. Nonlinear Analysis, Physica D 105 (1997) 20-61.