Abstract

An analytical framework is presented to interpret coupling between axial normal stresses and torsional shearing stresses observed in anisotropic fibres. This coupling can be uniquely described in terms of the material properties describing the anisotropy and the testing geometry. The coupling is described through a consideration of the rotation of material symmetry directions caused by shear and the application of standard transformation laws governing anisotropic elastic properties. The analysis is employed to describe the apparent linear increase in torsional modulus with axial tensile stress observed in anisotropic fibres. Isotropic fibres are predicted and observed to be free of such coupling. The results support the recent modelling of oriented polymer fibre compressive strength as an elastic buckling instability.

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