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<p>We investigate the propagation of anti-plane shear waves localized within a multi-layered interface of a square lattice. The structure consists of two infinite half-spaces, either identical or dissimilar in their bulk properties, separated by a three-row interface that may be stiffer or softer than the surrounding media. A discrete square-lattice model is employed, in which particles of mass are connected by elastic bonds whose properties vary between regions. Using a lattice-dynamics approach, we derive the dispersion relation for waves propagating along the interface for different material contrasts between the bulks and the interface.</p>

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Anti-plane surface waves localized in multi-layered interfaces in square-lattice structures

  • 期刊论文

  • 发表日期：

    2026年1月6日

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  • Emanuele Reccia

摘要

We investigate the propagation of anti-plane shear waves localized within a multi-layered interface of a square lattice. The structure consists of two infinite half-spaces, either identical or dissimilar in their bulk properties, separated by a three-row interface that may be stiffer or softer than the surrounding media. A discrete square-lattice model is employed, in which particles of mass are connected by elastic bonds whose properties vary between regions. Using a lattice-dynamics approach, we derive the dispersion relation for waves propagating along the interface for different material contrasts between the bulks and the interface.