Show that the Westergaard function for the configuration of Figure 1 is
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]]</EquationSource><EquationSource Format="TEX"><![CDATA[$${Z_I} = \frac{{2\sigma }}{\pi }\left[ {\frac{z}{{{{({z^2} - {a^2})}^{1/2}}}}\arccos \left( {\frac{b}{a}} \right) - arc\cot \left[ {\frac{b}{z}{{\left( {\frac{{{z^2} - {a^2}}}{{{a^2} - {b^2}}}} \right)}^{1/2}}} \right]} \right]$$
(1)
and the stress intensity factor is
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]]</EquationSource><EquationSource Format="TEX"><
