  In a 2012 article in the International Journal of Non-Linear Mechanics,
Destrade et al. showed that for nonlinear elastic materials satisfying
Truesdell's so-called empirical inequalities, the deformation corresponding to
a Cauchy pure shear stress is not a simple shear. Similar results can be found
in a 2011 article of L. A. Mihai and A. Goriely. We confirm their results under
weakened assumptions and consider the case of a shear load, i.e. a Biot pure
shear stress. In addition, conditions under which Cauchy pure shear stresses
correspond to (idealized) pure shear stretch tensors are stated and a new
notion of idealized finite simple shear is introduced, showing that for certain
classes of nonlinear materials, the results by Destrade et al. can be
simplified considerably.
