Evaluation of hydrogen concentration distribution near a semi-elliptical crack in a pipeline

Keywords

elastic metamaterial, doubly-periodic compliant inclusions, multiple lattices, wave reflection and transmission coefficients, boundary integral equations method, wide-spacing model.

Cite as

Chepil O. Ya., Soviak I. M., and Syrotyuk A. M. Evaluation of hydrogen concentration distribution near a semi-elliptical crack in a pipeline. Physicochemical Mechanics of Materials. 2025. 61(3), 099-106.

https://doi.org/10.15407/pcmm2025.03.099

Abstract

A three-dimensional problem of time-harmonic longitudinal wave propagation in an elastic matrix containing doubly-periodic arrays of disc-shaped compliant inclusions, arranged in a finite set of non-equidistant parallel square lattices, is studied. The calculation of wave reflection and transmission coefficients in such a metamaterial is based on a generalization of the wide-spacing model to account for varying distances between inclusion lattices in a formed cascade. The relevant quantities are obtained via the numerical solution of a boundary integral equation defined in the lattice unit cell. The results refer to wave incidence on a three-plane cascade of doubly-periodic inclusions (with cracks as a particular case) and the identification of suppression zones in the frequency spectrum of wave penetration, including the effect of complete locking, depending on the distances in the cascade, lattice compactness and stiffness of the scatterers.

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