A fiber discontinuity is to be modeled using a line of centers of dilatation along the x₁-axis from 0 to a. Show that the displacement field for this problem is given by:

Fig 5.11

Transcribed Image Text:

where R = 1 - - - - - (- - - - ) = 2 R R 42 = Uz = 1 1x1x2 1 (x - a)x 2 Rx+xR x 2 + x 1 1 X1X3 2 R x + x 3 1 (x - a)x3 R X + x 3 (x - a) + x + x3 and R is identical to that illustrated in Fig. 15.11.