ELASTO-PLASTIC ANALYSIS FOR THE BUCKLING AND POSTBUCKLING OF RECTANGULAR PLATES UNDER UNIAXIAL COMPRESSION

Abstract

Abstract: Full-range analysis for the buckling and post buck ling at rectangular plates under in-plane compression has been made by perturbation technique which takes deflection as its perturbation parameter.In this paper the effects of initial geometric imperfection on the postbuc kling behavior of plates have been discussed. It is seen that the effect of initial imperfection on the inelastic postbuckling oj plates is sensitive. By comparison, it is found that the theoretical results of this paper are in good agreement with experiments.

Key words: structural stability, inelastic buckling, postbuckling, rectangular plate

Shen Hui-shen. ELASTO-PLASTIC ANALYSIS FOR THE BUCKLING AND POSTBUCKLING OF RECTANGULAR PLATES UNDER UNIAXIAL COMPRESSION. Applied Mathematics and Mechanics (English Edition), 1990, 11(10): 931-939.

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References

[1] Neale,K.W.,Effect of imperfections on the plastic buckling of rectangular plates,J.Appl.Mech.,42(1975),115-120.
[2] Needleman,A.,An analysis of the imperfection sensitivity of square elastic-plastic plates under axial compression.Int.J.Solids Structures,12(1976),185-201.
[3] Shen,H.S.and J.W.Zhang,Perturbation analyses for the postbuckling of simply supported rectangular plates under uniaxial compression,Appl.Math,and Mech.,9,8(1988),793-804.
[4] Shen,H.S.,Perturbation analysis for the postbuckling of rectangular orthotropic plates,Appl.Math,and Mech.,10,4(1989),373-384.
[5] Rectliffe,A.T.,The strength of plates in compression,Cantab Ph.D.Thesis(1968).
[6] Moxham,K.E.,Compression in welded web plates.Ph.D.Thesis,University of Cambridge(1970).
[7] Frieze,P.A.,Ultimate load behaviour of steel box-girder bridges and their components,Ph.D.Thesis,University of London(1975).
[8] Crisfield,M.A.,Full-range analysis of steel plates and stiffened plating under uniaxial compression,Proc.Instn.Civ.Engrs.,Part 2,59(1975),595-624.
[9] Harding,J.E.,R.E.Hobbs and B.G.Neal,The elasto-plastic analysis of imperfect square plates under in-plane loading,Proc.Instn.Civ.Engrs.,Part 2,63(1977),137-158.
[10] Little,G.H.The collapse of rectangular steel plates under uniaxial compression,Structural Engr.,58B(1980),45-61.
[11] Gradzhi,R.and K.Kowal-Michalska,Collapse behaviour of plates,Thin-Walled Structures,6(1988),1-17.
[12] Korol,R.M.and A.N.Sherbourne,Strength predictions of plates in uniaxial compression,Proc.ASCE,98. ST9(1972),1965-1986.
[13] Davies,P.,K.O.Kemp and A.C.Walker,An analysis of the failure mechanism of an axially loaded simply supported steel plate,Proc.Instn.Civ.Engrs.,Part 2,59(1975),645-658.
[14] Vol‘mir,A.S.,Stability of Elastic System,Moskwa(1963),(in Russian)
[15] Sherbourne,A.N.and R.M.Korol,Postbuckling of axially compressed plates,Proc.ASCE,98,ST10(1972),2223-2234.
[16] Moxham,K.E.,Buckling tests on individual welded steel plates in compression,Cambridge University Report No.CUED/C-Struct/TR3(1971).
[17] Dawe,J.L.and G.Y.Grondin,Inelastic buckling of steel plates,Proc.ASCE,111,ST1(1985),95-107.
[18] Bradfield,C.D.and W.P.Stonor,Simple collapse analysis of plates in compression,Proc.ASCE,110,ST12(1984),2976-2993.