Plastic buckling analysis of thick plates using p-Ritz method

International Journal of Solids and Structures

Volumn 44, Issue 18-19, 2007, Pages 6239-6255

  Wang, C M ^a   Aung, Tun Myint ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Mindlin plate theory; Plastic buckling; Ritz method; Thick plates

Indexed keywords

BOUNDARY EQUATIONS; MINDLIN PLATE THEORY; PLASTIC BUCKLING; RITZ METHOD; THICK PLATES;

BOUNDARY CONDITIONS; BUCKLING; PLASTIC DEFORMATION; PLASTICITY; POLYNOMIALS; SHEAR DEFORMATION; STRESS-STRAIN CURVES;

PLATES (STRUCTURAL COMPONENTS);

EID: 34447538198     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.02.026     Document Type: Article

References (24)

1. Bath R.B. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method. Journal of Sound and Vibration 102 4 (1985) 493-499
2. Bruhn E.F. Analysis and Design of Flight Vehicle Structures (1965), Tri-State Offset, Cincinnati, OH
3. Chakrabarty J. Applied Plasticity (2000), Springer, New York
4. Durban D., and Zuckerman Z. Elastoplastic buckling of rectangular plates in biaxial compression/tension. International Journal of Mechanical Sciences 41 (1999) 751-765
5. Gerard, G., Becker, H., 1957. Handbook of structural stability part I-buckling of flat plates. NACA Technical Note No. 3781, Washington, DC.
6. Gupta K.K. On a numerical solution of the plastic buckling problem of structures. International Journal for Numerical Methods in Engineering 12 (1978) 941-947
7. Han L.S. The buckling and deflection of isosceles-triangular plates. Journal of Applied Mechanics 27 1 (1960) 207-208
8. Handelman, G.H., Prager, W., 1948. Plastic buckling of rectangular plates under edge thrusts. NACA Technical Note No. 1530.
9. Illyushin, A.A., 1947. The elastic plastic stability of plates. NACA Techical Note No. 1188.
10. Liew K.M., and Wang C.M. Vibration analysis of plates by pb-2 Rayleigh-Ritz method: mixed boundary conditions, reentrant corners and curved internal supports. Mechanics of Structures and Machines 20 3 (1992) 281-292
11. Liew K.M., and Wang C.M. pb-2 Rayleigh-Ritz method for general plate analysis. Engineering Structures 15 1 (1993) 55-60
12. Liew K.M., and Wang C.M. Elastic buckling of regular polygonal plates. Thin-Walled Structures 21 (1995) 163-173
13. Liew K.M., Wang C.M., Xiang Y., and Kitipornchai S. Vibration of Mindlin Plates: Programming the p-version Ritz Method (1998), Elsevier, Amsterdam
14. Mindlin R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Transaction of ASME, Journal of Applied Mechanics 18 (1951) 31-38
15. Mizusawa T., Kajita T., and Naruoka M. Vibration of skew plates by using B-spline functions. Journal of Sound and Vibration 62 2 (1979) 301-308
16. Ramberg, W., Osgood, W., 1943. Description of stress-strain curves by three parameters, NACA Techical Note No. 902.
17. Smith S.T., Bradford M.A., and Oehlers D.J. Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using Rayleigh-Ritz method. International Journal for Numerical Method in Engineering 44 (1999) 1685-1707
18. Smith S.T., Bradford M.A., and Oehlers D.J. Inelastic buckling of rectangular steel plates using a Rayleigh-Ritz method. International Journal of Structural Stability and Dynamics 3 4 (2003) 503-521
19. Wang C.M., Liew K.M., Xiang Y., and Kitipornchai S. Buckling of rectangular plates with internal line supports. International Journal of Solids and Structures 30 1 (1993) 1-17
20. Wang C.M., and Liew K.M. Buckling of elliptical plates under uniform pressure. Journal of Structural Engineering 119 11 (1993) 3418-3425
21. Wang C.M., Wang L., and Liew K.M. Vibration and buckling of super elliptical plates. Journal of Sound and Vibration 171 3 (1994) 301-314
22. Wang C.M., Xiang Y., and Chakrabarty J. Elastic/plastic buckling of thick plates. International Journal of Solids and Structures 38 (2001) 8617-8640
23. Wang C.M. Plastic buckling of simply supported, polygonal Mindlin plates. Journal of Engineering Mechanics 130 1 (2004) 117-122
24. Wolfram S. Mathematica Book. 4th Edition (1999), Cambridge University Press, New York