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A Critical Study of Baldelli and Bourdin's On the Asymptotic Derivation of Winkler-Type Energies From 3D Elasticity
Kavinda Jayawardana
In our analysis, we show that Baldelli and Bourdin's work is only valid when describing the behaviour of a film bonded to an elastic pseudo-foundation, where Poisson's ratios of bo…
A Critical Study of Cottenden et al.'s An Analytical Model of the Motion of a Conformable Sheet Over a General Convex Surface in the Presence of Frictional Coupling
Kavinda Jayawardana
In our analysis, we show that what Cottenden et al. accomplish is the derivation of the ordinary capstan equation, and a solution to a dynamic membrane with both a zero-Poisson's r…
A Critical Study of Howell et al.'s Nonlinear Beam Theory
Kavinda Jayawardana
In our analysis, we show that Howell et al.'s nonlinear beam theory does not depict a representation of the Euler-Bernoulli beam equation, nonlinear or otherwise. The authors' nonl…
A Critical Study of Efrati et al.'s Elastic Theory of Unconstrained non-Euclidean Plates
Kavinda Jayawardana
In our analysis, we show that Efrati et al.'s publication is inconsistent with the mathematics of plate theory. However it is more consistent with the mathematics of shell theory,…