ON SOME PROBLEMS OF PLASTIC BUCKLING OF PLATES AND SHELLS

摘要/Abstract

摘要： This paper gives the stress-strain relations of the variational types on the basis of an assumption concerning the small deformation in the theory of el-asto-plasticity.The compact form of fundamental equations of plastic buckling of the plates and shells is obtained in terms of secant modulus.

关键词: crystal orientation distribution function, irreducible tensor, Fourier expansion, microstructure, material symmetry

Abstract: This paper gives the stress-strain relations of the variational types on the basis of an assumption concerning the small deformation in the theory of el-asto-plasticity.The compact form of fundamental equations of plastic buckling of the plates and shells is obtained in terms of secant modulus.

Key words: crystal orientation distribution function, irreducible tensor, Fourier expansion, microstructure, material symmetry

成祥生. ON SOME PROBLEMS OF PLASTIC BUCKLING OF PLATES AND SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(5): 589-597.

Cheng Xiang-sheng. ON SOME PROBLEMS OF PLASTIC BUCKLING OF PLATES AND SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(5): 589-597.

参考文献

[1] Karman,T.V.,Forschungsarbeiten,No.81(1910),Berlin.
[2] Shanley,F.R.,J.Aero.Sci.,14(1947),261.
[3] Bleich,F.,Theorie und Berechung der eisernen Brucken,Berlin.(1924).
[4] Gerard,G.,Secant modulus method for determining plate instability above the proportional limit,J.Aero.Sci.,13(1946),38.
[5] Gerard,G.,Plastic stability of thin shells,J.Aero.Sci.,24.April,(1957),269-274.
[6] Ильюшин.А.А Приближекная теория упуго-пластических деформаций осесимметричной оболочек ПММ.Т.8,Вып.1(1944).
[7] Ильюшии А.А.Пласмччносмь,Техтеоретнздат(1948).
[8] Ильюшнн А.А.,Устойчивость пластинкн и оболочек за прелеламн упругеостм,ПММ,Т.8,вып.5,(1944)и вып.5-6,(1946).
[9] Stowell,E.Z.,A unified theory of plastic buckling of columns and plates,NACA,Report,898.and Techn.Note,1556,(1948).
[10] Bijlaard,P.P.,Theory of plastic stability of thin plates,Abhdlg.IVBH,(1940/41),45.
[11] Bijlaard,P.P.,Grundlegende Betrachtungen zum Asubeulen der Platten und Schalen im Plastischen,Mitt,aus dem Inst.fur Baustatik an der E.T.H.Nr.21,Zurich(1948).
[12] Bijlaard,P.P.,Plastic buckling of simply supported plates subjected to combined shear and bending or eccentric compression in their plane,J.Aero.Sci.,24,April,(1957),291-303.
[13] Григолюк,Э.И.,О выпучивании тонких облочек за дределом за пределом упругости.Изб.
[14] pride,R.A.and Heimerl,G.J.,Plastic buckling of simply supported compressed plates,NACA TN,1817,April,(1949).
[15] Лепик,Ю.Р.,Два замечания к теорив устойчивости пластинок за пределом упргости с учетом сжимаемости матернала,ПММ.,ХⅣ,Вып.5.(1950)553-557.
[16] Kollbrunner,C.F.und Herrmann,G.,Der Einflu der Poissonschen Zahl auf die Stabilitat rechteckiger Flatten,Mitt,der T.K.V.S.B.Nr.4,Zurich(1951).
[17] Gao Zheng-tong,On the problems of palstic stability of plates and shells in consideration of compressibility of materials,Transactions of the Proceeding of the First Conference of the Chinese Society of Mechanics of Plates and Shells,Science Publishing House,(in Chinese)(1965),33-39.
[18] Жуков,А.М.,Окозффициеите Пукссона в пластияской области,Изб АН СССР.ОТН,12,(1954),86-91.
[19] Burgermeister,G.,Steup,H.,Kretzshmar,H.,Stabilitatstheorie,Teil II,Akademie-verlag.Berlin,(1963) 199-214.
[20] Kachanov,L.M.,Foundations of the theory of plasticity,2nd.ed.(1971).
[21] Collected articles on shell structures,Chin.Indus.Publ.House.(In Chinese),Vol.4(1965),228-229．