Express the explicit shape functions N2 through N8, similar to N1 given by Eq. (11.3.4), for the linear hexahedral element shown in Figure 11-5 on page 548.

Figure P11-5

Figure 11-5 Linear hexahedral element

(a) In a global-coordinate system and

(b) Element mapped into a cube of two unit sides placed symmetrically with natural or intrinsic coordinates s, t, and z'

(a)

(b)

Transcribed Image Text:

(x3, y3, z3) (X7, y7, 2) (xg, ys, Z) (x4, Y4, za) 6. (x2, Ya, 2) (Xs, Ys, z3) (X1, yı, z1) (-1, 1, –1) 3. (1, 1, -1) (1, 1,1) (-1, 1, 1) 4. (-1, -1, -1) 6. (1, -1, -1) (-1, –1, 1) 3(1, –1, 1)