Post-buckling of a pressurized elastic sheet on a rigid surface
An infinite elastic sheet, subject to axial forces, is pressurized on one side and constrained on the other side by a rigid flat surface. The post- buckling problem is solved by perturbation analysis and numerical integration. We find the buckling force of a perfect sheet is infinite. As displacement increases, the sheet undergoes three stages. In stage I the sheet does not touch itself and is in unstable equilibrium for constant axial force. The sheet in stage II has one point in contact with itself and is stable. Stage III is neutrally stable with one segment collapsed. A finite stability criterion is defined.
infinite buckling force for perfect sheet
scientific article; zbMATH DE number 3936635