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An analysis of the shear failure of rigid-linear hardening beams under impulsive loading
Authors:Wang Lili  Norman Jones
Institution:(1) Ningbo University, 315211 Ningbo, China;(2) University of Science and Technology of China, 230026 Hefei, China;(3) Impact Research Centre, Department of Mechanical Engineering, University of Liverpool, P.O.Box 147, L69 3BX Liverpool, U.K.
Abstract:A theoretical rigid-plastic analysis for the dynamic shear failure of beams under impulsive loading is presented when using a travelling plastic shear hinge model which takes into account material strain hardening. The maximum dynamic shear strain and shear strain-rate can be predicted in addition to the permanent transverse deflections and other parameters. The conditions for the three modes of shear failure, i.e., excess deflection failure, excess shear strain failure and adiabatic shear failure are analyzed. The special case of an infinitesimally small plastic zone is discussed and compared with Nonaka's solution for a rigid, perfectly plastic material. The results can also be generalized to examine the dynamic response of fibre-reinforced beams.
Keywords:shear failure  rigid-linear hardening plastic beam  dynamic response  impulsive loading  adiabatic shear
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