Question: For the linear strain tetrahedral element shown in Figure P11-9, (a) express the displacement fields u, v, and w in the x, y and z

For the linear strain tetrahedral element shown in Figure P11-9, (a) express the displacement fields u, v, and w in the x, y and z directions, respectively. There are 10 nodes each with three translational degrees of freedom, ui, vi, and wi. Also look at the linear strain triangle given by Eq. (8.1.2) or the expansion of Eq. (11.2.2).
Figure P11-9

For the linear strain tetrahedral element shown in Figure P11-9,

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