Propagation of one-dimensional elastoviscoplastic waves in composite materials

Abstract

We consider the problems of propagation of elastic and elastoviscoplastic waves in laminated and fiber composites on the basis of the two-velocity model proposed in [1]. We study plane waves propagating parallel to the fibers and waves propagating in the perpendicular direction. We compare our solutions with the experimental results presented in the literature [2, 3] for several specific composites (carbon-filled plastics, boron plastics, and wolfram fibers in aluminum matrix). The coincidence between the theoretical results and experimental data is shown to be good. To understand the typical features of propagation of nonstationary waves in composites, we solved several one-dimensional problems about the propagation of both elastic and elastoviscoplastic waves in laminated and fiber composites. We compare the solutions obtained using the one-velocity and two-velocity models [1, 4] with the results of experiments and the results obtained in the literature using different models, which permits estimating the accuracy of both models and the numerical method in question. We use the numerical method of characteristics to improve the accuracy of calculations in the solution of the resulting systems of hyperbolic equations.