A Modified Boundary Element Solution for Ultrasonic Guided Wave Mode-Conversion and Scattering in Curved Plates

Yuheng Wei, Bin Wang, Z. Qian
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Abstract

The ultrasonic guided wave is a very promising and effective tool in non-destructive evaluation (NDE) and structural health monitoring (SHM), especially for large-scale plate structures. The reflection and transmission coefficients as the incident wave propagates through the inspected region can help us locate and reconstruct the flaws. However, compared with straight plates, the guided wave propagation phenomenon becomes more complicated in curved plates due to mode conversion. Previously, the finite element, spectral element and semi-analytical finite element (SAFE) methods have been applied to solve the forward problem. However, they are generally time-consuming. This paper proposes a modified boundary element method (m-BEM) to simulate guided wave mode-conversion and scattering at curved parts of plate structures, which can reduce the mesh and computation cost while keeping accuracy. The method can work as theoretical basis and provide numerical data for studying the following inverse problems.
曲面板中超声导波模式转换与散射的修正边界元解
超声导波是一种非常有前途和有效的无损评估和结构健康监测工具,特别是对于大型板状结构。入射波在被测区域传播时的反射系数和透射系数可以帮助我们定位和重建缺陷。然而,与直板相比,由于模态转换,导波在弯曲板中的传播现象变得更加复杂。在此之前,有限元、谱元和半解析有限元(SAFE)方法已被应用于求解正演问题。然而,它们通常很耗时。本文提出了一种改进的边界元法(m-BEM)来模拟板结构弯曲部位导波的模式转换和散射,在保持精度的同时减少了网格和计算量。该方法可为后续反问题的研究提供理论基础和数值数据。
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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