Keywords: wave propagation, dynamic stress concentration, acoustical wave propagator
Flexural wave propagation and dynamic stress concentration in a multi-stepped plate using acoustical wave propagator method
In this paper, we introduce an explicit acoustical wave propagator method to investigate the flexural wave propagation and dynamic stress concentration in a multi-stepped plate. To implement the operation of the acoustical wave propagator on an initial state, a new combined scheme with Chebyshev Polynomial Expansion and Fast Fourier Transformation is described in detail. Its numerical efficiency and accuracy are also examined by comparing them with the Euler scheme and the exact analytical solution. Moreover, we investigate the displacement and dynamic stress distributions in a multi-stepped plate. Furthermore, the superposition of wave front of incident and reflect wave packets are used to explain the special location of the interference patterns. It is found to be highly accurate and computationally effective in predicting the flexural wave propagation and dynamic stress concentration.