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在高度异构的多晶体中波传播:从一个基于非结构网的高阶有限元素方法的数值角度来看

Shaojie Gong¹, Shifeng Guo², Yi Xiong³

¹School of Robotics and Advanced Manufacturing, Harbin Institute of Technology, Shenzhen 518055, PR China.

|November 13, 2025

概括

这项研究引入了一种改进的高阶非结构网格方法,用于精确模拟复杂的异构多晶体中的超声波传播. 这种方法提高了材料粒度结构的特征计算效率和准确性.

科学领域:

材料科学材料科学材料科学
计算力学计算力学计算力学
非破坏性测试是指非破坏性测试.

背景情况:

超声波非破坏性测试 (NDT) 对于描述多晶材料至关重要.
在具有复杂粒度边界的高度异构型多晶体中精确建模超声波传播仍然具有挑战性.
现有的数值方法通常需要密集的网格或缺乏成熟的分析配方来进行强波散射.

研究的目的:

开发和验证一种新型的高阶非结构网格方法,用于精确的超声波传播模拟.
解决模拟异型多晶体中波散射的局限性.
为了提高NDT模拟的计算效率和准确性.

主要方法:

通过使用基于Voronoi的图形结构构建了多晶体几何.
采用显式动力学解决方案,使用具有内部节点的高阶质量块非结构元素.
将模拟结果与结构化网格和修改后的分析模型进行比较.

主要成果:

拟议的高阶质量块非结构元素准确地代表了复杂的粒度边界几何.
与传统方法相比,观察到计算效率和准确性的显著提高.
模拟的超声波衰减和相位速度与分析和结构化网状结果有很好的一致性.

结论:

开发的高阶质量块无结构网格方法有效模拟了异型多晶体中的超声波传播.
这种方法为NDT应用提供了更准确,更有效的方法.
这些发现证实了该方法在复杂材料中描述粒度特征的有效性.

关键词:

有限元素方法有限元素方法.非破坏性测试是一种非破坏性测试.多晶体的多晶体是什么超声波超声波是指超声波的使用.没有结构的网格.

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