= Complex stress potential for antiplane shear
{title2=$\sigma_{23}+i\sigma_{13}=\mu F'(z)$}
A <harmonic conjugate> $\phi$ satisfying $\phi_{,1}=w_{,2}$ and $\phi_{,2}=-w_{,1}$ makes $F=\phi+iw$ a <holomorphic function>. Its derivative packages the two <antiplane shear> stresses into the displayed complex field. On multiply connected domains a global potential additionally requires the appropriate periods to vanish; prescribed displacement jumps can instead be represented by branches of the potential.
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