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Buckling and barrelling instabilities in the uniaxial compressions of anelastic rectangle have been studied by many authors under lubricated endconditions. However, in practice it is very difficult to realize suchconditions due to friction. Here, we study the compressions of atwo-dimensional nonlinearly elastic rectangle under clamped end conditions.

Asymptotic bifurcation solutions for compressions of a clamped  nonlinearly elastic rectangle: transition region and barrelling to a  corner-like profile