Define the shape functions and their derivatives

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Reference no: EM131194179

Quadrilateral finite elements. Figure 6.52 shows a two-dimensional, four-node element (quadrilateral element). Assume an approximation of the form ∅(x, y) = a+bx+cy+dxy

(a) Define the shape functions and their derivatives for a particular element with nodes at P₁ (0, 0), P₂(1, 0), P₃(1, 1), and p₄ (1, 1).

(b) Define the shape functions and their derivatives for the general element in Figure 6.52.

Reference no: EM131194179

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