On the restrictions imposed by non-affine material symmetry groups for elastic rods: application to helical substructures

European Journal of Mechanics, A/Solids

Volumn 26, Issue 4, 2007, Pages 701-711

  Lauderdale, Todd A ^a   O'Reilly, Oliver M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cosserat theory of rods; Elastic rods; Material symmetry; Mechanics of DNA strands

Indexed keywords

DNA SEQUENCES; FUNCTION EVALUATION; MATERIALS SCIENCE; STRAIN;

COSSERAT THEORY; DNA STRANDS; ELASTIC RODS; MATERIAL SYMMETRY;

ELASTICITY;

EID: 34247355006     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2006.10.003     Document Type: Article

References (19)

1. Abeyaratne R., and Knowles J.K. Nucleation, kinetics and admissibility criteria for propagating phase boundaries. In: Dunn J.E., Fosdick R., and Slemrod M. (Eds). Shock Induced Transitions and Phase Structures in Generalized Media (1993), Springer-Verlag, Berlin 1-33
2. Antman S.S. Nonlinear Problems of Elasticity (1995), Springer-Verlag
3. Bryant Z., Stone M.D., Gore J., Smith S.B., Cozzarelli N.R., and Bustamante C. Structural transitions and elasticity from torque measurements on DNA. Nature 424 (2003) 338-341
4. Costello G.A. Theory of Wire Rope. second ed (1997), Springer-Verlag
5. Green A.E., and Laws N. Remarks on the theory of rods. Journal of Elasticity 3 (1973) 179-184
6. Green A.E., Naghdi P.M., and Wenner W.L. On the theory of rods: II. Developments by direct approach. Proceedings of the Royal Society of London Ser. A 337 (1974) 485-507
7. Healey T.J. Material symmetry and chirality in nonlinearly elastic rods. Mathematics and Mechanics of Solids 7 4 (2002) 405-420
8. Kamien R.D., Lubensky T.C., Nelson P., and O'Hern C.S. Direct determination of DNA twist-stretch coupling. Europhysics Letters 38 3 (1997) 237-242
9. Kreyszig E. Differential Geometry. revised and reprinted ed (1964), University of Toronto Press
10. Love A.E.H. A Treatise on the Mathematical Theory of Elasticity. fourth ed (1927), Cambridge University Press
11. Luo C., and O'Reilly O.M. On the material symmetry of elastic rods. Journal of Elasticity 60 1 (2000) 35-56
12. Marko J.F. Stretching must twist DNA. Europhysics Letters 38 3 (1997) 183-188
13. Marko J.F., and Siggia E.D. Bending and twisting elasticity of DNA. Macromolecules 27 (1994) 981-988 and 29, 4820
14. Murdoch A.I. Symmetry considerations for materials of second grade. Journal of Elasticity 9 (1979) 43-50
15. O'Reilly O.M., and Payen S. On the attitudes of constant angular velocity motions. International Journal of Nonlinear Mechanics 41 6-7 (2006) 787-795
16. Saccomandi G., and Vianello M. A universal relation characterizing transversely hemitropic hyperelastic materials. Mathematics and Mechanics of Solids 2 1 (1997) 181-188
17. Steigmann D.J., and Ogden R.W. Elastic surface-substrate interactions. Proceedings of the Royal Society of London Ser. A 455 (1999) 437-474
18. Strick T.R., Dessinges M.-N., Charvin G., Dekker N.H., Allemand J.-F., Bensimon D., and Croquette V. Stretching of macromolecules and proteins. Reports on Progress in Physics 66 (2003) 1-45
19. Testa V., and Vianello M. The symmetry group of gradient sensitive fluids. International Journal of Non-Linear Mechanics 40 5 (2005) 621-631