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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:

p_28_image002
Fig. 21. Linear quadrilateral element (Q4).
p_28_image004 (47)

The displacement field is given by:

p_28_image006 (48)

which are bilinear functions over the element.

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