Title: Extension of the Hodograph Method for the One-Dimensional Elastic-Plastic Wave Propagation
Abstract: For the one-dimensional rate-independent longitudinal wave propagation problems, the method of analysis using the hodograph along with the characteristic field, which was proposed by Karman, is discussed and generalized. Many solutions using the hodograh are shown. The main features of this method are as follows : (i) On the hodographic plane the image of characteristics can be drawn with only two rules specially prepared. (ii) On the hodographic plane the initial and boundary conditions are introduced intuitively. (iii) The image of characteristics in the hodographic plane can be drawn in advance of characteristics in the physical plane. Use of hodograph has proved convenient to analyse the one-dimensional longitudunal impact.