The FE model of a plane solid consists of two square elements of dimensions \(1 \times 1\) as shown in the figure below. The nodal coordinates and corresponding displacements are given in the table.

a. Calculate the displacement \(u\) at \((x, y)=(1,0.5)\);

b. Estimate the strain \(\varepsilon_{x x}\) at \((x, y)=(1,0.5)\) using element 1 and element 2 .

Transcribed Image Text:

Node (x, y) u u v 1 (0,0) 0 0 2 (0,1) 0.1 -0.1 3 (1,0) 0.1 0.1 4 (1,1) -0.2 0.2 5 (2,0) 0.15-0.15 6 (2,1) 0.2 0