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Control of zero-energy modes in 9-node plane element (1986)

Verhegghe, Benedict ; Powell, Graham H.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 23 (1986), S. 863-869

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: For plane stress/plane strain analysis, the 9-node quadrilateral element performs better than the corresponding 8-node element, especially for non-rectangular shapes. For improved element flexibility and lower computer cost, 2 × 2 quadrature is generally preferable to 3 × 3 quadrature. Unfortunately the 9-node element contains spurious zero-energy modes when under-integrated. A method is proposed to restrain these modes without significant loss of accuracy or added cost.

Additional Material: 6 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620230508

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