Volume 1, Issue 1 — Year 2024 — Article e100011

Kamyab Abdolnajaghi¹; Zahra Abbaspour²

1. Department of Civil Engineering, University of Tabriz, Tabriz 5166616471, Iran
2. Department of Civil Engineering, University of Tabriz, Tabriz 5166616471, Iran

Modeling radiation damping effects in wave propagation is complex, and various numerical, analytical, and semi-analytical methods have been proposed to address the problem. The scaled boundary method (SBM) is an efficient semi-analytical approach for analyzing dynamic wave propagation in non-homogeneous, unbounded media. While previous studies often focused on acceleration or displacement unit impulse response-based techniques, this paper introduces a velocity unit impulse response (VUIR)-based SBM for more efficient computation. The authors modified the original VUIRbased SBM formulation to directly derive the dynamic interaction force for non-homogeneous infinite media, bypassing the need to convert velocity responses into displacements. To validate the method, several benchmark numerical examples are solved. The method is shown to be effective in analyzing dynamic wave propagation in both homogeneous and nonhomogeneous unbounded media, including full and half-plane wave propagation scenarios. In these cases, Young’s modulus is treated as a function of radius, and results are compared with those from the extended mesh method and analytical solutions (where available). The results demonstrate that the VUIR-based SBM significantly reduces computational effort, particularly by reducing cut-off time. For example, choosing a cut-off time of 300 can lead to up to a 91% reduction in computational effort. This makes the VUIR-based SBM a highly efficient tool for solving dynamic wave propagation problems.

Scaled boundary method; Velocity; Semi-analytical method; Unbounded domains; Non-homogeneous; Cut-off time.