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A transition element for uniform strain hexahedral and tetrahedral finite elements

✍ Scribed by C. R. Dohrmann; S. W. Key

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 134 KB
Volume: 44
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990430)44:12<1933::aid-nme574>3.0.co;2-0

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✦ Synopsis

A transition element is presented for meshes containing uniform strain hexahedral and tetrahedral ÿnite elements. It is shown that the volume of the standard uniform strain hexahedron is identical to that of a polyhedron with 14 vertices and 24 triangular faces. Based on this equivalence, a transition element is developed as a simple modiÿcation of the uniform strain hexahedron. The transition element makes use of a general method for hourglass control and satisÿes ÿrst-order patch tests. Example problems in linear elasticity are included to demonstrate the application of the element.

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