Abstract
A new model of axial crushing of cylindrical tubes with corrugated surface is developed in which crushing force is analyzed by considering the balance of work done by the crushing force and the energy required for the tube deformation. The energy absorbed by the crushing cylindrical tube consists of the bending energy term and the membrane energy term, which results from compression or extension of a shell element in the hoop direction. It is found from analysis results of the model that two different modes, called P-mode and S-mode respectively, may exist in the collapse of cylindrical tubes with corrugated surface. In the P-mode compressive force vibrates with the wrinkles forming one after another, and in the S-mode compressive force increases uniformly. Mode classification charts, as well as the average crushing force, predicted by the developed model are found to be in good agreement with the results of numerical calculation by FEM. Also, it is found that the increase in the compressive force load for S-mode is mainly due to the increase in bending energy with deformation of tube.
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