Barenblatt and Ishlinskii  considered the impact of a viscoplastic rod on a rigid wall in which the relation between stress and strain rate is linear. In this paper, their analysis is generalized to a power-law relation between stress and strain rate so that their results may be reduced as a special case. Some strikingly different behaviors are observed between linear viscoplastic materials and nonlinear viscoplastic materials. Comparisons are also made between the viscoplastic solution obtained here with the rate-independent, rigid-plastic solution by Lee and Tapper . It is shown that the curves which represent the residual strains versus the axial length along the rod are concave upward for all viscoplastic rods. For the rate-independent, rigid-plastic rods, on the other hand, they are concave downward.
Impact of a Nonlinear Viscoplastic Rod on a Rigid Wall
T. C. E. Ting
Materials Engineering, University of Illinois, Chicago, Ill.
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Ting, T. C. E. (September 1, 1966). "Impact of a Nonlinear Viscoplastic Rod on a Rigid Wall." ASME. J. Appl. Mech. September 1966; 33(3): 505–513. https://doi.org/10.1115/1.3625115
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