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The corner element in classical elasticity and Cosserat elasticity

The corner element is considered in torsion of a square cross section bar. Understanding the corner element has a pedagogic role in mechanics of materials and elasticity and is also helpful in providing physical insight for generalized continuum theories such as Cosserat elasticity. Analysis of the corner element reveals the slope of the warp curve at the corner in a classical solid and approximates the slope of the warp curve in a Cosserat solid. Preprint, Journal of Mechanics of Materials and Structures (JOMMS), 16 (2) 225-235 (2021). https://doi.org/10.2140/jomms.2021.16.225