SH wave scattering by a circular arc-shaped nano-hole located within the half-plane boundary of one-dimensional hexagonal quasicrystals

IF 2.9 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-06-18 DOI:10.1007/s00707-025-04361-2

Lu Shaonan, Ding Shenghu, Ma Yuanyuan, Zhao Xuefen, Li Xing

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引用次数: 0

Abstract

The scattering characteristics of SH waves enable a deeper understanding of wave propagation, thereby improving the accuracy and reliability of non-destructive testing. By combining with the generalized Young–Laplace equation and the wave function expansion method, the anti-plane problem of SH wave scattering by a circular arc-shaped nano-hole within one-dimensional hexagonal (1DH) quasicrystal (QC) half-plane boundary is studied. Based on the Huygens principle, the Graf’s addition formula and the orthogonal characteristic of trigonometric functions, the analytical solutions for the dynamic stress concentration factors (DSCFs) are obtained. Numerical examples discuss the effects of the surface effects, the wave numbers, and the incident angle on DSCFs with different circular arc-shaped nano-holes. The results indicate that the DSCF of the phonon field decreases gradually with the increasing of the surface effect factors or the incident angle at low frequencies (LFs). The influence of the incident angle and surface effect factors on the DSCFs is irregular at high frequencies (HFs). The arc shape significantly affects the DSCFs as the surface effect factors change. This research enhances understanding of disruption caused by nano-holes to the internal stress field in QCs and provides theoretical support for analyzing their mechanical properties and structural health.

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一维六边形准晶体半平面边界内圆弧型纳米孔对SH波的散射

SH波的散射特性使人们能够更深入地了解波的传播，从而提高无损检测的准确性和可靠性。结合广义Young-Laplace方程和波函数展开法，研究了一维六边形准晶体（QC）半平面边界内圆弧型纳米孔对SH波散射的反平面问题。基于惠更斯原理、格拉夫加法公式和三角函数的正交特性，得到了动应力集中系数的解析解。数值算例讨论了表面效应、波数和入射角对不同圆弧型纳米孔dscf的影响。结果表明，低频声子场的散强场随表面效应因子或入射角的增大而逐渐减小。在高频情况下，入射角和表面效应因素对DSCFs的影响是不规则的。随着表面效应因子的变化，弧形对DSCFs有显著影响。本研究提高了人们对纳米孔对碳纤维内应场破坏的认识，为分析碳纤维的力学性能和结构健康状况提供了理论支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.