Formulation of the element matrices and vectors for elasticity problem > Finite element types > Linear Quadrilateral Element (Q4)¶
There are four nodes at the corners of the quadrilateral shape (Fig.21). In the natural coordinate system (ξ, η), the four shape functions are:
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| Fig. 21. Linear quadrilateral element (Q4). |
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(47) |
The displacement field is given by:
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(48) |
which are bilinear functions over the element.
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