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arXiv · 2511.13354

Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs

Tsviatko V. Rangelov·George D. Manolis·Petia S. Dineva
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Abstract

This paper presents an analytical derivation of a frequency-dependent fundamental solution plus a Green's function for the uni-dimensional, hexagonal quasicrystal sheet subjected to elastic waves under anti-plane strain conditions. Furthermore, closed-form solutions for the free-fields developing in this sheet for propagating shear waves are also obtained. The analysis presented here provides a foundation for understanding quasicrystal dynamic behavior and for advancing relevant computational methods.

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Tsviatko V. Rangelov, George D. Manolis, Petia S. Dineva. 2025-11-17. Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs. https://arxiv.org/abs/2511.13354

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