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The Michell solution is a general solution to the elasticity equations in polar coordinates developed by J. H. Michell. The solution is such that the stress components are in the form of a Fourier series in θ {\displaystyle \theta \,}.
Michell showed that the general solution can be expressed in terms of an Airy stress function of the form
The terms A 1 r cos θ {\displaystyle A_{1}~r~\cos \theta \,} and E 1 r sin θ {\displaystyle E_{1}~r~\sin \theta \,} define a trivial null state of stress and are ignored.
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