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Abstract
This paper investigates the low-velocity impact response of the beam with global plastic deformation. A simplified theoretical model of quasi-static global plastic impact based on the dimensional analysis and quasi-static theory is presented to predict the impact response of the beam. The analytical expression of the quasi-static global plastic impact is derived from the distribution of elastoplastic stress in the cross-section of the beam. The limit of the quasi-static global plastic impact is defined and obtained according to plastic yielding at bottom of the structure. The simplified theoretical model of the quasi-static global plastic impact is verified by FE simulations of the sphere-beam impacts with different impact energies. It is shown that the simplified theoretical model provides very good approximations of the quasi-static global plastic impact.
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