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Analytical and numerical study of anti-plane elastic wave scattering in a structured quadrant subjected to a boundary point load (2024)
Journal Article
Nieves, M., Kisil, A., & Mishuris, G. S. (in press). Analytical and numerical study of anti-plane elastic wave scattering in a structured quadrant subjected to a boundary point load. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2299), Article 20240099. https://doi.org/10.1098/rspa.2024.0099

We verify the recently developed method by Kisil (Kisil 2024 SIAM J. Appl. Math. 84, 464–476 (doi: 10.1137/23M1562445)) through its application in the study of the anti-plane dynamic response of an elastic square-cell lattice quadrant having a free l... Read More about Analytical and numerical study of anti-plane elastic wave scattering in a structured quadrant subjected to a boundary point load.

Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice (2024)
Journal Article
Nieves, M., & Sharma, B. (2024). Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice. International Journal of Engineering Science, 197, Article 104011. https://doi.org/10.1016/j.ijengsci.2023.104011

We consider the scattering of in-plane waves that interact with an edge of a structured penetrable inertial line defect contained in a triangular lattice, composed of periodically placed masses interconnected by massless elastic rods. The steady stat... Read More about Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice.