Quadratic Quadrilateral Element (Q8)
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There are eight nodes for this element, four corner nodes and four mid-side nodes (Fig.22). In the natural coordinate system (ξ, η), the eight shape functions are:
(49) |
The displacement field is given by:
(50) |
which are quadratic functions over the element. Strains and stresses over a quadratic quadrilateral element are linear functions that are better representations.
Fig.22. Quadratic quadrilateral element (Q8). |
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