Summary
The formalism of the previous paper is applied to the torsion of a right circular cylinder whose length is prevented from changing by applying a force at the end. The solution of the torsion problem leads to a second order non-linear differential equation which on can linearize and solve to the first two orders in a dimensionless torsion parameter.
With the values of the third order elastic constants found in the ultrasonic literature one calculates to first order the new radius, the torque and the force at the end of the cylinder for six metallic compounds and three non-metallic ones.
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Sachs, A., Celikkol, B. & Freed, A. Body tensor formalism in finite deformation elasticity part II: Application to the torsion of a circular cylinder. Acta Mechanica 78, 57–71 (1989). https://doi.org/10.1007/BF01174000
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DOI: https://doi.org/10.1007/BF01174000