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Concepts and applications of finite element analysis (1981)

Cook, Robert D.

New York u.a. :Wiley,

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Titel: Concepts and applications of finite element analysis

Autor: Cook, Robert D.

Ausgabe: 2nd ed.

Verlag: New York u.a. :Wiley,

Erscheinungsjahr: 1981

Seiten: 537 S.

Materialart: Buch

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Zuse-Institut Berlin

Digitale Medien

Control of spurious modes in the nine-node quadrilateral element (1982)

Cook, Robert D. ; Zhao-Hua, Feng

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 18 (1982), S. 1576-1580

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: The nine-node quadrilateral is much more accurate than its eight-node relative if elements are non-rectangular. However, the nine-node element may display spurious low-energy modes under 2 × 2 Gauss quadrature. These modes can be controlled by using the 3 × 3 quadrature rule, but at added cost. This paper investigates two inexpensive control devices that can be used with 2 × 2 Gauss quadrature.

Zusätzliches Material: 2 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620181012

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Loubignac's iterative method in finite element elastostatics (1982)

Cook, Robert D.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 18 (1982), S. 67-75

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: Finite element models provide only approximate results under most loadings. A beam modelled by constant-strain triangles and loaded by pure moment is a case in point. Yet if the iterative method advanced by Loubignac et al.1 is applied to this model, the exact stress field will be generated. The iterative method derives from a parent formulation that can be solved without iteration.2 As shown in this paper, the parent formulation contains the sum of two stiffness matrices. One is produced by the customary finite element shape functions. The other is produced by finite difference expressions for strain gradients that are not contained in the shape functions.Loubignac's method produces a stress field that is continous across interelement boundaries. Other methods that seek to impose interelement continuity are noted in the concluding section.

Zusätzliches Material: 4 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620180106

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Remarks about diagonal mass matrices (1981)

Cook, Robert D.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 17 (1981), S. 1427-1429

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620170910

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