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Explicit algorithms for the nonlinear dynamics of shells. (English) Zbl 0512.73073

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74H99 Dynamical problems in solid mechanics
74K15 Membranes
74B20 Nonlinear elasticity
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
74S99 Numerical and other methods in solid mechanics
Software:
Hondo
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References:
[1] Belytschko, T.; Marchertas, A.H., Nonlinear finite element method for plates and its application to the dynamic response of reactor fuel subassemblies, Trans. ASME J. pressure vessel technology, 251-257, (1974)
[2] Bazeley, G.P.; Cheung, W.K.; Irons, R.M.; Zienkiewicz, O.C., Triangular elements in plate bendingconforming and nonconforming solutions in matrix methods and structural mechanics, (), 547-576
[3] Irons, B.M.; Razzaque, A., Experience with the patch test for convergence of finite element, (), 577-588
[4] Belytschko, T.; Schwer, L.; Klein, M.J., Large displacement transient analysis of space frames, Internat. J. numer. meths. engrg., 11, 65-84, (1977) · Zbl 0347.73053
[5] Razzaque, A., Program for triangular bending element with derivative smoothing, Internat. J. numer. meths. engrg., 5, 588-589, (1973)
[6] Hughes, T.J.R.; Cohen, M.; Haroun, M., Reduced and selective integration techniques in finite element analysis of plates, Nuclear engineering & design, 46, 203-222, (1978)
[7] Hughes, T.J.R.; Taylor, R.L.; Kanoknukulchai, W., A simple and efficient finite element for plate bending, Internat. J. numer. meths. engrg., 11, 1529-1547, (1977) · Zbl 0363.73067
[8] Flanagan, D.; Belytschko, T., A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, Internat. J. numer. meths. engrg., 17, 679-706, (1981) · Zbl 0478.73049
[9] Belytschko, T.; Tsay, C.S.; Liu, W.K., A stabilization matrix for the bilinear Mindlin plate element, Comput. meths. appl. mech. engrg., 29, 313-327, (1981) · Zbl 0474.73091
[10] Taylor, R.L., Finite element for general shell analysis, ()
[11] Kosloff, D.; Frazier, G., Treatment of hourglass patterns in low order finite element codes, Numerical and analytical methods in geomechanics, 2, 52-72, (1978)
[12] Argyris, J.H.; Kelsey, S.; Kamel, H., Matrix methods of structural analysis: a precis of recent developments, () · Zbl 0131.22802
[13] Wempner, G.A., Finite elements, finite rotations, and small strains of flexible shells, Internat. J. solids and structures, 5, 117-153, (1969) · Zbl 0164.26505
[14] Murray, D.W.; Wilson, E.L., Finite element large deflection analysis of plates, ASCE, J. engrg. mech. div., 143-165, (1969) · Zbl 0185.52705
[15] Belytschko, T.; Hsieh, B.J., Nonlinear transient finite element analysis with convected coordinates, Internat. J. numer. meths. engrg., 7, 255-271, (1973) · Zbl 0265.73062
[16] Belytschko, T.; Glaum, L.W., Applications of higher order corotational stretch theories to nonlinear finite element analysis, Comput. & structures, 10, 175-182, (1979) · Zbl 0393.73085
[17] Malvern, L.E., Introduction to the mechanics of a continuous medium, (1969), Prentice-Hall Englewood Cliffs, NJ · Zbl 0181.53303
[18] Belytschko, T.; Mullen, R., WHAMS: a program for transient analysis of structures and continua, Structural mechanics software series, 2, 151-212, (1978)
[19] Belytschko, T., Nonlinear analysis-descriptions and numerical stability, (), 537-562
[20] Ahmad, S., Pseudo-isoparametric finite elements for shell and plate analysis, ()
[21] Ahmad, S.; Irons, B.M.; Zienkiewicz, O.C., Analysis of thick and thin shell structures by curved finite elements, Internat. J. numer. meths. engrg., 2, 419-451, (1970)
[22] Hughes, T.J.R.; Liu, W.K., Nonlinear finite element analysis of shells: part 1. three-dimensional shells, Comput. meth. appl. mech. and engrg., 26, 331-362, (1981) · Zbl 0461.73061
[23] Mindlin, R.D., Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates, J. appl. mech., 18, 31-38, (1951) · Zbl 0044.40101
[24] S.W. Key, HONDO — a finite element computer program for the large deformation dynamic response of axisymmetric solid, Rept. SLA-74-0039, Sandia Laboratories.
[25] Mindle, W.; Belytschko, T., A study of shear factors in reduced-selective integration Mindlin beam elements, Computers & structures, 17, 3, 334-344, (1983) · Zbl 0512.73068
[26] Timoshenko, S.; Goodier, J.N., Theory of elasticity, (1951), McGraw-Hill New York · Zbl 0045.26402
[27] D. Shantaram, D.R.J. Owen and O.C. Zienkiewicz, Dynamic transient behavior of two- and three-dimensional structues including plasticity large deformation effects and fluid interaction. Earthquake Engineering and Structural Dynamics 4, 561-578.
[28] Timoshenko, S.; Woinowsky-Krieger, S., Theory of plates and shells, (1911), McGraw-Hill New York · Zbl 0114.40801
[29] Balmer, H.A.; Witmer, E.A., Theoretical-experimental correlation of large dynamic and permanent deformation of impulsively loaded simple structures, ()
[30] Morino, L.; Leech, J.W.; Witmer, E.A., An improved numerical calculation technique for large elasticplastic transient deformations of thin shells: part 2-evaluation and applications, J. appl. mech., 429-435, (1971) · Zbl 0218.73049
[31] Bathe, K.J.; Ramm, E.; Wilson, E.L., Finite element formulations for large deformation dynamic analysis, Internat. J. numer. meths. engrg., 9, 353-386, (1975) · Zbl 0304.73060
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