✦ LIBER ✦

SOLID ELEMENTS WITH ROTATIONAL DOFs BY EXPLICIT HYBRID STABILIZATION

✍ Scribed by K. Y. SZE; A. K. SOH; Y. S. SIM

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 808 KB
Volume: 39
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19960915)39:17<2987::aid-nme986>3.0.co;2-h

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✦ Synopsis

Two brick elements equipped with Allman's rotation are presented. Strain energy of both elements is sub-integrated by the second order quadrature which gives rise to the hourglass mechanisms. Inasmuch as Allman's rotation is employed, the elements are also plagued by the equal-rotation mechanisms. Variational functional containing independently assumed stress, displacement and rotation is employed to formulate the stabilization devices for the elements. Computational cost of the elements is reduced by incorporating the explicit hybrid stabilization technique. Popular numerical benchmarks are studied and the present elements are found to be competitive to other state-of-the-art elements.

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✍ K. Y. SZE; S. YI; M. H. TAY 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 370 KB

In this paper, the explicit hybrid stabilization method is employed to formulate stabilization vectors for the uniformly reduced integrated eighteen-node solid element. An assumed contravariant stress is devised based on the strain associated with the commutable mechanisms of a geometrically regular