Some remarks on invariance requirements for constrained rods

Mathematics and Mechanics of Solids

Volumn 1, Issue 3, 1996, Pages 343-348

  O'Reilly, Oliver M ^a   Turcotte, Jeffrey S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; EQUATIONS OF MOTION; FUNCTIONS; INVARIANCE; KINEMATICS; LAGRANGE MULTIPLIERS; STRESSES; THREE DIMENSIONAL;

CONSTRAINED RODS; COSSERAT CURVE; SUPERPOSED RIGID BODY MOTIONS;

ELASTICITY;

EID: 0030244510     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659600100306     Document Type: Article

References (9)

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2. Casey, J. and Carroll, M. M.: Discussion of "A treatment of internally constrained materials" (by J. Casey). ASME Journal of Applied Mechanics, 63, 240 (1996).
3. Green, A. E. and Laws N.: Remarks on the theory of rods. Journal of Elasticity, 3, 179-184 (1973).
4. Naghdi, P. M. and Rubin, M. B.: Constrained theories of rods. Journal of Elasticity, 14, 343-361 (1984).
5. O'Reilly, O. M.: A properly invariant theory of small deformations superposed on large deformations of an elastic rod. Journal of Elasticity, 39, 97-131 (1995).
6. Green, A. E., Naghdi, P. M., and Wenner, M. L.: On the theory of rods, II. Developments by direct approach. Proceedings of the Royal Society of London, A337, 485-507 (1974).
7. Naghdi, P. M.: The theory of shells and plates, in Handbuch der Physik, Vol.Ia/2, pp. 425-640, ed., S. Flügge and C. Truesdell, Springer, Berlin, 1972.
8. Green, A. E., Naghdi, P. M., and Wenner, M. L.: On the theory of rods, I. Derivations from the three-dimensional equations. Proceedings of the Royal Society of London, A337, 451-483 (1974).
9. Antman, S. S.: Kirchhoff's problem for nonlinearly elastic rods. Quarterly of Applied Mathematics, 32, 221-240 (1974).