Flexural wave scattering and dynamic stress concentration in a heterogeneous plate with multiple cylindrical patches by acoustical wave propagator technique

This paper presents the acoustical wave propagator technique to describe the flexural wave propagation and scattering in an elastic plate with multiple cylindrical patches. The wave propagation patterns in the presence of these patches are used to investigate dynamic stress concentration. An improved combined scheme of Chebyshev polynomial expansion and fast Fourier transformation compared with the exact analytical solutions is found to be effective in predicting the distribution of dynamic stress concentration. The dynamic stress concentration factors around the patches in the time domain are also discussed in detail.