Abstract
A new model to analyse the dynamic large deformation response of elasto-plastic rectangular plates is presented. The plate is modeled with rigid segments interconnected by hinged lines which yield a roof-shaped displacement field. The hinge height is subdivided into fibers having imaginary lengths. Stresses and generalized section forces are calculated using strains determined from the plate geometry. The model may be used to calculate the mid-section time history of bending moments and membrane forces, stress and strain distributions, displacement, velocity and acceleration as well as the dynamic reactions and the permanent displacement. The solution for one-way plates and beams is obtained as a special case. The predictions of the model are found to compare well with test results on steel and aluminium 6061-T6 plates and with advanced analytical models.
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