Abstract

In the present paper, a theoretical mechanism analysis based on plastic hinge models with perfect plastic material properties is suggested in order to estimate the energy absorption abilities of thinwalled circular and square tubes by axial crushing under impact loading. The relationship between dynamic bending moments and angular velocites measured in our previous research is employed insted of the constitutive equations obtained from tensile tests because the main energy absorption in thin walled tubes occurs by bending work at plastic hinges. On the basis of this procedure, the time histories of the deformation and the absorbed energy can be calculated with good agreement with the experimental results. Crushing periods could not be determined theoretically in the case of square tubes, but were determined in the case of circular tubes. In addition, the axial crushing of thin walled tubes was carried out successfully taking into account the dynamic relationship between perfect plastic bending moments and bending angular velocities in plastic hinges.

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