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Hierarchies of conforming finite elements for plane elasticity and plate bending. (English) Zbl 0369.73071


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
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[1] Peano, A.G., Hierarchies of conforming finite elements, Doctoral dissertation, (July 1975), Washington University St. Louis, Missouri
[2] Cavallini, G.; Peano, A.G., Evaluation of stress intensity factors by a self-adaptive finite element scheme, (13-16 Oct. 1976), presented at the III AIMETA Congress, Cagliari, (Italy)
[3] A. G. Peano, A Self-adaptive Finite Element Scheme for Three Dimensional Elasticity, to appear.
[4] A. G. Peano, Conforming Approximations to Kirchoff Plates, to appear. · Zbl 0432.73070
[5] Felippa, C.A., Refined finite element analysis of linear and nonlinear two-dimensional structures, SESM report 66-22, (1966), Department of Civil Engineering, University of California Berkeley, U.S.A
[6] Argyris, J.H.; Haase, M.; Malejannakis, G.A., Natural geometry of surfaces with specific reference to the matrix displacement analysis of shells, ISD report no. 134, (1973), University of Stuttgart · Zbl 0273.53001
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[9] Irons, B.M., Engineering applications of numerical integration in stiffness methods, Aiaaj, 4, 11, 2035-2037, (1966) · Zbl 0208.53303
[10] Zienkiewicz, O.C.; Irons, B.M.; Campbell, J.; Scott, F., Three dimensional stress analysis, IUTAM symp. high speed comput. elast. structures, (1970), Liége
[11] Irons, B.M., A technique for degenerating brick type isoparametric elements using hierarchic midside nodes, Int. J. num. methods engng., 8, 1, 203-209, (1974)
[12] Bazeley, G.P.; Cheung, Y.K.; Irons, B.M.; Zienkiewicz, O.C., Triangular elements in bending conforming and nonconforming solutions, Proc. 1st conf. matrix methods structural mechanics, (1965), Wright-Patterson Air Force Base Ohio
[13] Razzaque, A., Program for triangular bending elements with derivative smoothing, Int. J. num. methods engng., 6, 333-343, (1973)
[14] I. N. Katz, Integration of Triangular Finite Elements Containing Corrective Rational Functions, Technical Note, to appear in Int. J. Num. Methods in Engng.
[15] Rossow, M.P.; Lee, J.C.; Chen, K.C., Computer implementation of the constraint method, Comput. structures, 6, 203-209, (1976) · Zbl 0331.73077
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