Torsion of a rectangular checkerboard and the analogy between rectangular and curvilinear cross-sections (Q2732141)

The author deals with a bar of rectangular checkerboard type subject to torsion; each constituent can be of different dimensions and can have different material properties. Using the eigenfunction expansion method, the author obtains series with coefficients which can be obtained by a truncation at any desired order. By a mapping function of the form \(w= \text{Log\,}z\) the author obtains, without any difficulty, an analogy between rectangular and curvilinear cross-sections.