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In our analysis, we show that Efrati et al.'s publication is inconsistentwith the mathematics of plate theory. However it is more consistent with themathematics of shell theory, but with an incorrect strain tensor. Thus, theauthors' numerical results imply that a thin object can be stretchedsubstantially with very little force, which is physically unrealistic andmathematically disprovable. All the theoretical work of the authors, i.e.nonlinear plate equations in curvilinear coordinates, can easily be rectifiedwith the inclusion of both a sufficiently differentiable diffeomorphism and aset of external loadings, such as an external strain field.

A Critical Study of Efrati et al.'s Elastic Theory of Unconstrained non-Euclidean Plates