On the material symmetry of elastic rods

Journal of Elasticity

Volumn 60, Issue 1, 2000, Pages 35-56

  Luo, Cheng ^a   O'Reilly, Oliver M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cosserat theory of rods; Elastic rods; Material symmetry

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; STRAIN; SURFACES;

MATERIAL SYMMETRY;

ELASTICITY;

EID: 0034448128     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007624328427     Document Type: Article

References (41)

1. A contribution to the theory of rods
2. The influence of reference geometry on the response of elastic shells
3. Extension, torsion and expansion of an incompressible, hemitropic Cosserat circular cylinder
4. Homogeneous monotropic elastic rods: Normal uniform configurations and universal solutions
5. Toward a complete second-order evolution law
6. The elastica and the problem of pure bending of a non-convex stored energy function
7. A general theory of rods
8. A linear theory of straight elastic rods
9. On thermal effects in the theory of rods
10. A direct theory of viscous fluid flow in pipes. I: Basic general developments
11. A unified procedure for the construction of theories of deformable media. II. Generalized continua
12. On the theory of rods. I. Derivations from three-dimensional equations
13. On the theory of rods. II. Developments by direct approach
14. The mechanics of non-linear materials with memory, Part I
15. The linear theory of elasticity
16. On the inclusion of the complete symmetry group in the unimodular group
17. On the representation of anisotropic elastic materials by symmetric irreducible tensors
18. A continuum model of sequence-dependent DNA structure
19. Inhomogeneous materially uniform higher order gross bodies
20. Symmetry considerations for materials of second grade
21. Symmetry considerations for elastic surfaces
22. Symmetry considerations for elastic surfaces: Addendum
23. The theory of shells and plates
24. Finite deformation of elastic rods and shells
25. Constrained theories of rods
26. On the significance of normal cross-sectional extension in beam theory with application to contact problems
27. A mathematical theory of the mechanical behavior of continuous media
28. On steady motions of an elastic rod with application to contact problem
29. A properly invariant theory of small deformations superposed on large deformations of an elastic rod
30. On constitutive relations for elastic rods
31. Some remarks on invariance requirements for constrained rods
32. Elastic rods with moderate rotation
33. The description of material symmetry in materials with memory
34. Restrictions on nonlinear constitutive relations for elastic rods
35. Statistical mechanics of the extensible and shearable rod and of DNA
36. Three-dimensional shapes of looped DNA
37. Elastic surface-substrate interactions
38. Theory of representations for tensor functions - A unified invariant approach to constitutive equations
39. On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry