Formulation of the element matrices and vectors for elasticity problem > Finite element types

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.