Find the Jacobian matrix for the nine-node quadrilateral element shown in Fig. P9.18. What is the determinant of the Jacobian matrix?


This problem is similar to one in Problem 9.10 (see Figure P9.10), except that it is a nine-node element used here. Once again we note that the node numbering used in Figure P9.14 is different from that used for the master element in Figure 9.6.