A transition element is presented for meshes containing uniform strain hexahedral and tetrahedral ΓΏnite 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 transiti
Hybrid equilibrium hexahedral elements and super-elements
β Scribed by Pereira, O. J. B. Almeida
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 184 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.967
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β¦ Synopsis
Abstract
Equilibrated solutions, locally satisfying all the equilibrium conditions, may be obtained by using a special case of the hybrid finite element formulation. Unlike simplicial superβelements in 2D and 3D, which are free from spurious kinematic modes, and the quadrilateral superβelement with diagonal subdivision, which has exactly one internal spurious kinematic mode, no hexahedral superβelement free of external spurious kinematic modes is yet known as far as the author is aware. Copyright Β© 2006 John Wiley & Sons, Ltd.
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