<br>声弹性和复杂波导中的导波建模：从 SAFE 理论到开源工具,Ultrasonics

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声弹性和复杂波导中的导波建模：从 SAFE 理论到开源工具
Ultrasonics ( IF 3.8 ) Pub Date : 2023-08-24 , DOI: 10.1016/j.ultras.2023.107144
Menglong Liu ₁ , Wenyan Zhang ₁ , Xiao Chen ₁ , Lun Li ₁ , Kai Wang ₂ , Hong Wang ₃ , Fangsen Cui ₄ , Zhongqing Su ₅

Affiliation

基于导波 (GW) 的技术已被广泛研究并应用于材料表征、损伤检测和结构健康监测。对GW的全面理解是开发此类技术的基石。基于半解析有限元（SAFE）方法，开发了一种在具有各向同性和各向异性材料特性的声弹性和复杂波导中传播的引力波的开源色散计算器。首先，通过假设沿传播方向的简谐振动并沿厚度方向离散化，采用1D-GLL-SAFE（一维Gauss-Lobatto-Legendre SAFE）来求解板波导中的GW，这归因于其在计算精度和效率方面的优越性能。采用不同的声弹性理论来计算负载下的引力波。然后考虑到网格划分的方便性，一般波导中的GW采用2D-Gauss-SAFE（二维高斯SAFE），三角形网格填充横截面。最后，基于1D-GLL-SAFE和2D-Gauss-SAFE算法，开发了开源工具SAFEDC（基于SAFE的色散计算器），不仅提供了预应力各向同性波导中GW的解决方案，还提供了通用的横截面，而且还扩展到具有任意层堆叠配置和包括多种材料的混合堆叠的层压板中的 GW。 SAFEDC 提供了大部分引力波特征，包括相速度、群速度、波数、位移、应力和应变方面的波结构以及波传播动画，这有助于研究人员和工程师理解和利用引力波。

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Modelling guided waves in acoustoelastic and complex waveguides: From SAFE theory to an open-source tool

Guided wave (GW)-based techniques have been extensively investigated and applied in material characterization, damage detection, and structural health monitoring. A comprehensive understanding of GW is the cornerstone for the development of such techniques. Based on the semi-analytical finite element (SAFE) method, an open-source dispersion calculator of GW propagating in acoustoelastic and complex waveguides with both isotropic and anisotropic material properties is developed. First, by assuming the simple harmonic motion along the propagation direction and discretizing along the thickness direction, 1D-GLL-SAFE (one-dimensional Gauss-Lobatto-Legendre SAFE) is adopted for the solution of GW in plate waveguide, which is attributed to its superior performance in terms of computational accuracy and efficiency. Different theories on acoustoelasticity are adopted to calculate GWs under loading. Then 2D-Gauss-SAFE (two-dimensional Gauss SAFE) with triangular meshes filling the cross section is adopted for GW in general waveguides considering the ease of convenience in meshing. Finally, based on the 1D-GLL-SAFE and 2D-Gauss-SAFE algorithms, an open-source tool SAFEDC (SAFE-based dispersion calculator) is developed, which not only provides the solution of GW in pre-stressed isotropic waveguide and general cross section, but also extends to GW in laminates with arbitrary layer stacking configurations and hybrid stacking including multiple materials. Most of the GW features, including phase velocity, group velocity, wave number, wave structure in terms of displacement, stress, and strain, and animation of wave propagation are all offered in SAFEDC, which helps the researchers and engineers to understand and utilize GW.

更新日期：2023-08-24

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