For the anti-plane stain crack problem solved in Exercise 8.44, plot contours of the displacement and stress

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For the anti-plane stain crack problem solved in Exercise 8.44, plot contours of the displacement and stress fields.

Data from exercise 8.44

Consider the crack problem shown for the anti-plane strain case with u = v = 0, w = w(x,y). From Section 7.4, the governing equation for the unknown displacement component with zero body force was given by Laplace’s equation, which in polar coordinates reads.

7 3w 1 dw + r r dr 1 3 w ar  30 0

Use a separation of variables scheme with w = rf (0), where is a parameter to be determined and f (0) is


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