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Triangular finite elements with rotational degrees of freedom and enhanced strain modes

โœ Scribed by R. Piltner; R.L. Taylor

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
221 KB
Volume
75
Category
Article
ISSN
0045-7949

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โœฆ Synopsis

Three sets of enhanced strain functions are considered for the improvement of the three-node triangular ยฎnite element with rotational degrees of freedom. In each case, four enhanced strain terms are used. The four unknowns associated with the enhanced strain terms can be eliminated by static condensation so that nine degrees of freedom remain for the enhanced elements. Faster convergence in the energy norm is achieved. The enhanced elements are also able to deal with nearly incompressible plane strain problems considered, provided all rotational degrees of freedom do not vanish at all element nodes.

๐Ÿ“œ SIMILAR VOLUMES

On improved hybrid finite elements with
On improved hybrid finite elements with rotational degrees of freedom
โœ Shah M. Yunus; Sunil Saigal; Robert D. Cook ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 741 KB

A set of three new hybrid elements with rotational degrees-of-freedom (d.o.f.'s) is introduced. The solid, 8node, hexahedron element is dcveloped for solving three-dimensional elasticity problems. This element has three translational and three rotational d.o.f.'s at each node and is based on a 42-pa