×

Geometrically nonlinear formulation for the curved shell elements. (English) Zbl 0509.73082


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
74S99 Numerical and other methods in solid mechanics
Full Text: DOI

References:

[1] The Finite Element Method, 3rd edn, McGraw-Hill, London, 1977.
[2] Finite Element Analysis Fundamentals, Prentice-Hall, Englewood Cliffs, N.J., 1973.
[3] ’Shell elements’, In Proc. World Congr. on Finite Elements in Struct. Mech., vol. 1, Bournemouth, England, 1975.
[4] Noor, Comp. Struct. 7 pp 615– (1977)
[5] Argyris, Comp. Meths. Appl. Mech. Engng 10 pp 371– (1977)
[6] Comp. Meths. Appl. Mech. Engng 11 pp 97– (1977)
[7] Horrigmoe, Comp. Meths. Appl. Mech. Engng 16 pp 11– (1978)
[8] Horrigmoe, Int. J. num. Meth. Engng 12 pp 1819– (1978)
[9] Bathe, Comput. Struct. 11 pp 23– (1980)
[10] Ahmad, Int. J. num. Meth. Engng 2 pp 419– (1970)
[11] Zienkiewicz, Int. J. num. Meth. Engng 3 pp 375– (1971)
[12] and , ’Large deformation analysis of laminated shells by finite element method’, in Comp. Meth. in Nonlinear Structural and Solid Mechanics, Washington, D.C., Oct. 6-8, 1980.
[13] and , ’Curved shell element and its implementation in McAUTO STRUDL’, In Seventh Conf. Electronic Computation, Saint Louis, Missouri (Aug. 1979).
[14] ’Theory of curved shell element’, Tech. Rep., Mcdonnell Douglas Automation Company, Saint Louis, Missouri, 1978.
[15] and , ’A large deformation formulation for shell analysis by the finite element method’, in Comp. Meth. in Nonlinear Structural and Solid Mechanics, Washington, D.C., Oct. 6-8, 1980.
[16] ’Geometrically nonlinear formulation for the axisymmetric shell elements’, Int. J. num. Meth. Engng, to be published. · Zbl 0493.73071
[17] , and , ’Stability analysis of structures via a new complementary energy method’, Comp. Meth. in Nonlinear Structural and Solid Mechanics, Washington, D.C., Oct. 6-8, 1980.
[18] Wood, Comp. Struct. 7 pp 725– (1977)
[19] Flexible Bars, Butterworths, London, 1962. · Zbl 0124.18001
[20] and , Theory of Elastic Stability, 2nd edn, McGraw-Hill, New York, 1961.
[21] and , ’Finite element applications to nonlinear and non-positive definite linear problems’, US-Germany Symp., M.I.T., Boston (1976).
[22] and , ’The application of finite elements to the large deflection geometrically non linear behaviour of cylindrical shells’, in and (Eds.), Variational Methods in Engineering, Southampton Univ. Press, 1973, pp. 7 /66-7/75.
[23] ’Instability of thin shells by the finite element method’, in IASS Symp. for Folded Plates and Prismatic Structures, Vienna, Sept. (1970).
[24] and , ’Some new aspects of the incremental total lagrangian description in nonlinear analysis’, In Finite Elements in Nonlinear Mechanics, vol 1 (Proc. of Geilo Conf.), Tapir Publishers, 1978, pp. 323-343.
[25] ’A plate/shell element for large deflections and rotations’, ch. 10 in Formulations and Computational Algorithms in Finite Element Analysis: U.S.-Germany Symp. (Eds. and ), MIT Press, 1977.
[26] Hughes, Comp. Meth. Appl. Mech. Eng. 26 (1981)
[27] Pica, Comp. Struct. 12 pp 759–
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.