Some Results in the Numerical Analysis of Structural Instabilities Part I. Statics
M. J. SBWELL, A survey of plastic buckling, in: Stabillty, ed. by H. LEIPHOLZ, Chapt. 5, pp. 85-197, Univ. of Waterloo Press, Ontario, Canada 1975.
J. W. HUTCHINSON, On the postbuckling behaviour of imperfection-sensitive structures in the plastic range, Appl. Mech., 39, 155-168, 1972.
J. W. HUTCHINSON, Plastic buckling, Adv. in Appl. Mech., 14, ed. by C.S. YIH, Academic Press, New York 1974.
J. H. AROYRIS, H. BALMER, M. KLEIBER, U. HINDENLANO, Natural description of large inelastic deformations for shells of arbitrary shape-application of TR UMP element, Comp. Meths. Appl. Mech. Eng., 22, 361-389, 1980.
N. K. EMERTON, N. F. MORRIS, Symmetric buckling of inelastic spherical shells, J. Mech. Div., 1417-1431, Ded. 1972.
M. KLEIBER, Large elastic-plastic deformations, Theory and numerical analysis of structures [in Polish], Inst. of Fund. Techn. Research, 13, Warsaw 1978, Report No 13/1978.
M. KLEIBER, Variational formulation in finite deformation elasto-plasticity with large increments and discontinuous fields, Proc. Int. Conf. on "Variational methods in mechanics", Chicago 1979.
P. G. BERGAN et al., Solution techniques for non-linear finite element problems, Int. J. Num. Meths. Eng., 12, 1677-1696, 1978.
E. RIKS, An incremental approach to the solution of snapping and buckling problems, Int. J. Sol. Struct., 15, 529-551, I 979.
Y. HANGAI, S. KAWANATA, Perturbation method in the analysis of geometrically nonlinear and stability problems, Adv. Comp. Meths. in Struct. Mech. and Design, VAH Press, 433;442, Univ. of Alabama, Hunstville 1972.
J. J. CONNOR, N. MORIN, Perturbation techniques in the analysis of geometrically nonlinear shells, High Speed Computing of Plastic Structures, 683-706, Univ. of Liege 1971.
Y. YAKOO, T. NAKAMURA, K. VETANI, The incremental perturbation method for large displacement analysis of elastic-plastic structures, Int. J. Num. Meths. Eng., 10, 503-525, 1978.
M. KLEIBER, Pertubation appsoach to the incremental equations of large deformation elastoplasticity, Int. Conf. CAFEM-5: "Computational aspects of the finite element method", Berlin 1979; also: Bull. Acad. Polon. Sci. Serie. Sci. techn., 18, 75-80, 1980.
E. W. WRIGHT, E. H. GAYLORD, Analysis of unbraced multistory steel rigid frames. Proc. ASCE, J. Eng. Div., 94, 1143-1163, 1968.
M. KLEIBER, SHELAX-large elasto-plastic deformations of thin shells by the finite element method [in Polish], Report 49, Inst. of Fund. Technol. Research, Warszaw 1977.
W. BORKOWSKI, M. KLEIBER, Nonlinear statics and dynamics of thin axisymmetric shells by high precision finite elements, Arch. Mech., 1981 34, 15-37, 1982
W. BORKOWSKI, M. KLEIBER, Static and dynamic stability of axisymmetric elastic and elastoplastic shells [in preparation].
B. O. ALMROTH, E. MELLER, F. A. BROGAN, Computer solutions for static and dynamic buckling of shells, Symp. IUTAM "Buckling of Structures", pp. 52-66, Cambridge, USA 1974.
N. AKKAS, N. R. BAULD Jr. Buckling and post-buckling of spherical caps, J. Mech. Div., EM3, 727-739, June 1971.
R. E. BALL, A program for nonlinear static and dynamic analysis of arbitrarily loaded shells of revolution, Comp. Struct., 2, 141-162, 1972.
N. C. HWANG, The unsymmetrical buckling of thin shallow spherical shells, J. Appl. Mech., 31, 447-457, 1964.
R. E. BALL, M. D. SHUTT, Buckling of shallow spherical, shells-the significance of the pole conditions, J. Appl. Mech., 46, 710-711, 1979.
P. G. HODGE Jr., Plastic analysis of structures, McGraw-Hill, New York 1959.
L. J. GALLETA, N. F. MORRIS, Inelastic buckling of spherical shells, J. Mech. Div. Ang., 795-810, 1974.
G. YAGAWA, N. MIYAZAKI, Y. ANDO, An analysis of elasto-plastic creep buckling of axisymmetric shells by the finite element method, Arch. Mech., 27, 869-882, 1975.
M. KLEIBER, A. ZACHARSKI. Numerical analysis of local instabilities in elastic and elastic-plastic prismatic plate assemblies, Comp. Meths. Appl. Mech. Eng. 31, 149-168, 1982.
Royal Aeronautical Society, Structure Data Sheets, 1.
H. L. SUJATA, Plastic buckling of longitudinally stiffened plates, J. Aerospace Sci., 28, 1961.
M. KLEIBER, Some results on the numerical analysis of structural instabilities, Part II. Dynamics. Rozpr. Inż. 30, 355-367, 1982
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