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


74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
Full Text: DOI


[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
[7] Irons, B.M., A conforming quartic triangular element for plate bending, Int. J. num. methods engng, 1, 29-45, (1969) · Zbl 0247.73071
[8] Szabo, B.A.; Katz, I.N.; Rossow, M.P.; Rodin, E.Y.; Peano, A.G.; Lee, J.C.; Scussel, R.J.; Chen, K.C.; Sutliff, D.R.; Valachovic, R.S., Advanced design technology for rail transportation vehicles, Interim report DOT-OS-30108-2, (June 1974), School of Engineering and Applied Science, Washington University St. Louis, Missouri
[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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.