Beamlike (Saint-Venant) solutions for fully anisotropic elastic tubes of arbitrary closed cross section

International Journal of Solids and Structures

Volumn 41, Issue 7, 2004, Pages 1925-1944

  Ladeveze P ^a   Sanchez, Ph ^a   Simmonds, J G ^b  

^a Grande Voie des Vignes   (France)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; ERROR ANALYSIS; SHEARING; STRAIN; STRESS ANALYSIS; TUBES (COMPONENTS); VECTORS;

ELASTIC TUBES;

ELASTICITY;

TUBE ARRAY;

EID: 1342331866     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.11.006     Document Type: Article

References (19)

1. Berdichevsky V. Armanios E. Badir A. Theory of anisotropic thin-walled closed-cross-section beams Comp. Eng. 2 1992 411-432
2. Budiansky B. Sanders J.L.Jr. On the 'best' first-order linear shell theory Progress in Applied Mechanics (The Prager Anniversary Volume) 1963 MacMillan New York
3. Danielson D.A. Improved error estimates in the linear theory of thin elastic shells Proc. Kon. Ned. Ak. Wet. B 74 1970 294-300
4. Goldenveiser A.L. Equations of the theory of thin shells (in Russian) Prikl. Mat. Mekh. 4 1940 35-42
5. Koiter W.T. A consistent first approximation in the general theory of thin elastic shells, The Theory of Thin Elastic Shells Koiter W.T. Proceedings of the IUTAM Sympos. Delft 1959 12-33 North-Holland Amsterdam
6. Koiter W.T. On the foundations of the linear theory of thin shells Proc. Kon. Ned. Ak. Wet. B 67 1970 117-126
7. Koiter W.T. Clément Ph. On the so-called comparison theorem in the linear theory of elasticity ZAMP 30 1979 534-536
8. Ladevèze P. Justification de la théorie linéaire des coques élastique J. Mécanique 15 1976 813-856
9. Ladevèze P. On the validity of linear shell theories Koiter W.T. Mikhailov G.K. Theory of Shells 1980 North-Holland
10. Ladevèze P. Simmonds J.G. De nouveaux concepts en théorie des poutres pour des charges et géometries quelconque Comptes Rendus Acad. Sci. Paris 322 IIb 1996 455-462
11. Ladevèze P. Simmonds J.G. New concepts for linear beam theory with arbitrary geometry and loading Eur. J. Mech., A/Solids 17 1998 377-402
12. Lure A.I. General theory of thin elastic shells (in Russian) Prikl. Mat. Mekh. 4 1940 7-34
13. McDevitt T.J. Simmonds J.G. Reduction of the Sanders-Koiter equations for fully anisotropic circular cylindrical shells to two coupled equations for a stress and a curvature function J. Appl. Mech. 66 1999 593-597
14. Reissner E. Tsai W.T. Pure bending, stretching, and twisting of anisotropic cylindrical shells J. Appl. Mech. 39 1972 148-154
15. Sanders, Jr., J.L., 1959. An improved first-approximation theory for thin shells, NASA Rept. No. 24
16. Sanchez, Ph., 2001. Mise en oeuvre et illustrations de la théorie exact des poutres, Thesis, Ecole Normale Supérieure de Cachan (Paris VI)
17. Sayir M. Edge effects in rotationally symmetric composite shells Ladevèze P. Local Effects in the Analysis of Structures 1985 161-180 Elsevier Amsterdam
18. 2-estimate to approximate shell solutions with no strain energy functional ZAMP 22 1971 339-345
19. Simmonds J.G. An asymptotic analysis of end effects in the axisymmetric deformation of elastic tubes weak in shear: higher order shell theories are inadequate and unnecessary Int. J. Solids Struct. 29 1992 2441-2461