A two-layer elastic strip under transverse impact loading: Analytical solution, finite element, and finite volume simulations

摘要

In this paper, wave propagation in a two-layer composite strip is investigated analytically and numerically. The strip is loaded by a very short transverse stress pulse. Three cases of the strip problem are assumed: (i) isotropic aluminum Al strip and two-layer strips made of (ⅱ) Al and the ceramics Al_2O_3 and (ⅲ) the ceramics Al_2O_3 and Al. The analytical method is based on Laplace and Fourier transform. The in-house finite element algorithm and thermodynamic consistent finite volume scheme are employed for computations, while the explicit time stepping procedure is used in both cases. The comparison of analytical and numerical results determines the degree of the accuracy of calculations, which is important for simulation of complex wave propagation problems in general heterogeneous media.