A powerful finite element for plate bending

Jaroslav Jirousek1, Nicos Leon1
1Chaire de statique et de résistance des matériaux, Ecole Polytechnique Fédérale de Lausanne, Switzerland

Tài liệu tham khảo

Trefftz, 1926, Ein Gegenstück zum Ritzschen Verfahren, 131 Ruoff, 1973, Die praktische Berechnung der Kupplungsmatrizen bei der Kombination der Trefftzschen Methode und der Methode der finiten Elemente bei flachen Schalen, 242 Stein, 1973, Die Kombination der modifizierten Tiefftzschen Verfahrens mit der Methode der finiten Elemente, 172 Wegner, 1950, Variationsmethoden zur praktischen Lösung von ebenen und räumlichen Spannungsproblemen, Z. angew. Math. Mech., 30, 248, 10.1002/zamm.19500300814 Jirousek, 1975, Programme de calcul des structures par la méthode des éléments finis Timoshenko, 1969 Gallagher, 1975 Goël, 1967, Utilisation numérique de la méthode de Ritz de Veubeke, 1968, A conforming finite element for plate bending, Int. J. Solids. Struct., 4, 95, 10.1016/0020-7683(68)90035-8 Bron, 1972, Mixed quadrilateral elements for bending, AIAA J, 10, 1359, 10.2514/3.6620 Morley, 1971, The constant-moment plate bending element, J. Strain Analysis, 6, 20, 10.1243/03093247V061020 Bazeley, 1965, Triangular elements in plate bending-conforming and non-conforming solutions, 547 Elias, 1968, Duality in finite element methods, 94, 931 Kikuchi, 1972, Some finite element solutions for plate bending problems by simplified hybrid displacement method, Nucl. Eng. Design, 23, 155, 10.1016/0029-5493(72)90046-5 Harvey, 1971, Triangular plate bending elements with enforced compatibility, AIAA J., 9, 1023, 10.2514/3.49914 Clough, 1965, Finite element stiffness matrices for the analysis of plate bending, 515 Cowper, 1969, Static and dynamic applications of a high precision triangular plate bending element, AIAA J., 7, 1957, 10.2514/3.5488 Herrmann, 1968, Finite element bending analysis of plates, 94, 13 Visser, 1969, A refined mixed type plate bending element, AIAA J., 7, 1801, 10.2514/3.5397 Cook, 1972, Some elements for analysis of plate bending, 98, 1452 Razzaque, 1973, Program for triangular elements with derivative smoothing, Int. J. Numer. Meths. Eng., 6, 333, 10.1002/nme.1620060305