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Kleiber, Michal; Hien, Tran Duong

Nonlinear dynamics of complex axisymmetric structures under arbitrary loads. (English) Zbl 0487.73089

Comput. Methods Appl. Mech. Eng. 37, 93-107 (1983).
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MSC:

74S05 Finite element methods applied to problems in solid mechanics

Keywords:

complex axisymmetric structures; arbitrary static or dynamic loadings; elastic or elasto-plastic material; large deformation; total Lagrangian description; five types of axisymmetric finite elements; triangular; quadrilateral solid rings; conical thin shell element; two transition elements; combination of two-dimensional finite element process and Fourier series; fully nonlinear range
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References:

[1] Wilson, E. L., Structural analysis of the axisymmetric solids, J. AIAA, 3, 2269-2274 (1965)
[2] Argyris, J. H., The TRIAX 6 element for axisymmetric analysis by the matrix displacement method, J. Roy. Aer. Soc., 70, 1102-1106 (1966)
[3] Ahmad, S.; Irons, B. M.; Zienkiewicz, O. C., Curved thick shell and membrane elements with particular reference to axisymmetric problems, (Proc. 2nd Conf. Matrix Methods in Struct. Mech.. Proc. 2nd Conf. Matrix Methods in Struct. Mech., Wright-Patterson A.F. Base, OH (1968))
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[7] Surana, K. S., Transition finite elements for axisymmetric stress analysis, Internal. J. Numer. Meths. Engrg., 15, 809-832 (1980) · Zbl 0433.73056
[8] Kleiber, M.; Hien, T. D., DYNAX-L—Dynamic analysis of elastic axisymmetric shells and solids under arbitrary loading by the finite element method (in Polish), (IFTR Rept. No. 25/1980 (1980), Institute of Fundamental Technological Research: Institute of Fundamental Technological Research Warsaw, Poland)
[9] Hien, T. D., Nonlinear dynamics of axisymmetric shells and solids subjected to arbitrary loadings (in Polish), (Ph.D. thesis under supervision of M. Kleiber (1981), Institute of Fundamental Technological Research: Institute of Fundamental Technological Research Warsaw, Poland)
[10] M. Kleiber, A. Sawczuk and T.D. Hien, Numerical analysis of elasto-plastic materials with anisotropic hardening (in preparation).; M. Kleiber, A. Sawczuk and T.D. Hien, Numerical analysis of elasto-plastic materials with anisotropic hardening (in preparation).
[11] Bathe, K. J.; Cimento, A. P., Some practical procedures for the solution of nonlinear finite element equations, Comput. Meths. Appl. Mech. Engrg., 22, 59-85 (1980) · Zbl 0435.73080
[12] Kleiber, M., Large elasto-plastic deformations: Theory and numerical analysis of structures (in Polish), (Rept. No. 13/1978 (1978), Institute of Fundamental Technological Research: Institute of Fundamental Technological Research Warsaw, Poland)
[13] Kleiber, M., The Finite Element Method in Nonlinear Mechanics of Solids (in Polish) (1982), PWN: PWN Warszawa
[14] Hutchinson, J. W., Plastic buckling, (Cia-Shun-Yih, Advances in Applied Mechanics, Vol. 14 (1974), Academic Press: Academic Press New York) · Zbl 0264.73062
[15] Itani, R. Y., Elastic-plastic tersion of axisymmetric bars, J. Engrg. Mech. Div., 105, 1-12 (1979)
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[18] Parisch, H.; Skinner, R., ASKA-HS—Axisymmetric continua with arbitrary loads, (ASKA UM 224, ISD 1978 (1978), University of Stuttgart)
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