Abstract

It is shown that in a laminated medium subject to a compressive stress an instability occurs which is localized near an edge cut perpendicularly to the layers. General equations are derived for the rheological stability of laminated media and applied to the particular case of “edge buckling”. The theory includes the effect of “interstitial flow.” As a consequence of the author's principle of correspondence, the results are valid for elastic, viscous and viscoelastic materials. The influence of friction at the edge is taken into account. The analysis may be considered as an extension of the theory of initially stressed anisotropic media to include couple stresses and stress-gradient dependence of the strain.

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