Dynamic Elastic-Plastic Response of Beams in Combined Thrust and Bending.

摘要

A one-dimensional structural mechanics model is presented for analyzing the elastic-plastic response of rods to slightly inclined end thrusts. The theory is kept simple by restricting the development to cases in which the axial thrust dominates, the bending moment being considered as a perturbation that may grow. Partial unloading of a cross section caused by excessive bending is included in the treatment but requires further numerical study. Solutions are obtained using the method of characteristics. The computer code describing the elastic-plastic wave propagation is simple and may be useful for preliminary design of rod penetrators.