Stability analysis of gradient elastic circular cylindrical thin shells

International Journal of Engineering Science

Volumn 47, Issue 11-12, 2009, Pages 1379-1385

  Papargyri Beskou, S ^a   Beskos, D E ^b,c  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b UNIVERSITY OF PATRAS   (Greece)

^c BIOMEDICAL RESEARCH FOUNDATION   (Greece)

Author keywords

Buckling load; Circular cylindrical shells; Donnell's theory; Gradient elasticity; Stability analysis

Indexed keywords

AXIAL COMPRESSIVE FORCES; BUCKLING LOADS; CIRCULAR CYLINDRICAL SHELLS; CRITICAL LOADING; ELASTIC THEORY; EQUATIONS OF EQUILIBRIA; GOVERNING EQUATIONS; GRADIENT ELASTICITY; INTERNAL LENGTH; RADIAL DISPLACEMENTS; SIMPLY SUPPORTED; STABILITY ANALYSIS; STRAIN GRADIENTS; STRAIN-DISPLACEMENT RELATION; THIN SHELLS;

BUCKLING; DIFFERENTIAL EQUATIONS; ELASTIC MODULI; ELASTICITY; ELASTOHYDRODYNAMICS; LOADS (FORCES);

SHELLS (STRUCTURES);

EID: 71649113057     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2009.09.009     Document Type: Article

References (22)

1. Mindlin R.D. Micro-structure in linear elasticity. Arch. Rat. Mech. Anal. 16 (1964) 51-78
2. Eringen C.A. Linear theory of micropolar elasticity. J. Math. Mech. 15 (1966) 909-923
3. Cosserat E., and Cosserat F. Theories des Corps Deformables (1909), Hermann et Fils, Paris
4. Toupin R.A. Elastic materials with couple stresses. Arch. Rat. Mech. Anal. 11 (1962) 385-414
5. Koiter W.T. Couple stresses in the theory of elasticity I and II. Proc. K. Ned. Akad. Wet. B 67 (1964) 17-44
6. Vardoulakis I., and Sulem J. Bifurcation Analysis in Geomechanics (1995), Chapman and Hall, London
7. Ru C.Q., and Aifantis E.C. A simple approach to solve boundary value problems in gradient elasticity. Acta Mech. 101 (1993) 59-68
8. Exadaktylos G.E., and Vardoulakis I. Microstructure in linear elasticity and scale effects: a reconsideration of basic rock mechanics and rock fracture mechanics. Tectonophysics 335 (2001) 81-109
9. Tsepoura K., Papargyri- Beskou S., Polyzos D., and Beskos D.E. Static and dynamic analysis of gradient elastic bars in tension. Arch. Appl. Mech. 72 (2002) 483-497
10. Papargyri-Beskou S., Tsepoura K., Polyzos D., and Beskos D.E. Bending and stability analysis of gradient elastic beams. Int. J. Solids Struct. 40 (2003) 385-400 (Erratum 42 (2005) 4911-4912)
11. Papargyri-Beskou S., Polyzos D., and Beskos D.E. Dynamic analysis of gradient elastic flexural beams. Struct. Eng. Mech. 15 (2003) 705-716
12. Georgiadis H.G. The mode - III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis. J. Appl. Mech. ASME 70 (2003) 517-530
13. Giannakopoulos A.E., and Stamoulis K. Structural analysis of gradient elastic components. Int. J. Solids Struct. 44 (2007) 3440-3451
14. Papargyri-Beskou S., and Beskos D.E. Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates. Arch. Appl. Mech. 78 (2008) 625-635
15. Qian D., Wagner G.J., Liu W.K., Yu M.F., and Ruoff R.S. Mechanics of carbon nanotubes. Appl. Mech. Rev. ASME 55 (2002) 495-533
16. Chen X., and Huang Y. Nanomechanics modelling and simulation of carbon nanotubes. J. Eng. Mech. ASCE 134 (2008) 211-216
17. Sudak L.J. Column buckling of multiwalled carbon nanotubes using non-local continuum mechanics. J. Appl. Phys. 94 (2003) 7281-7287
18. Reissner E. On the foundations of generalized linear shell theory. In: Niordson F.I. (Ed). Theory of Thin Shells (1969), Springer-Verlag, Berlin 15-30
19. Green A.E., and Naghdi P.M. Shells in the light of generalized continua. In: Niordson F.I. (Ed). Theory of Thin Shells (1969), Springer-Verlag, Berlin 39-58
20. Chajes A. Principles of Structural Stability Theory (1974), Prentice-Hall, Englewood Cliffs, NJ
21. Georgiadis H.G., Vardoulakis I., and Velgaki E.G. Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity. J. Elast. 74 (2004) 17-45
22. Papargyri-Beskou S., Polyzos D., and Beskos D.E. Wave dispersion in gradient elastic solids and structures: a unified treatment. Int. J. Solids Struct. 46 (2009) 3751-3759