An 8-node brick finite element

An 8‐node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for a...

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Veröffentlicht in:	International journal for numerical methods in engineering 1984-03, Vol.20 (3), p.523-528
Hauptverfasser:	Loikkanen, M. J., Irons, B. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics
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Beschreibung
Zusammenfassung:	An 8‐node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for all numerical integrations, to satisfy the constant stress patch test.
ISSN:	0029-5981 1097-0207
DOI:	10.1002/nme.1620200310