基于相的材料缺陷识别的物理信息神经网络

IF 7.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Haoshen He, Yang Liu
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引用次数: 0

摘要

材料缺陷的准确识别是保证结构完整性和性能的关键。在复杂的材料系统中,传统的计算方法往往难以平衡效率和物理保真度。本文提出了一种将物理信息神经网络(pinn)与相场方法相结合的新方法来解决这些挑战。我们的方法利用相场变量从空洞中描绘完整区域,而应力退化模型修改缺陷部位的机械响应。神经网络作为替代正演求解器来预测位移和应力场,从而实现快速模拟。为了确保与物理定律的兼容性,该框架将控制方程嵌入到训练损失函数中。此外,数据驱动的术语最大限度地减少了模拟和实验测量应变场之间的差异,提高了缺陷定位精度。数值实验验证了该框架在不同配置下的鲁棒性,包括圆形、椭圆形、不规则和多个空洞,以及从线性弹性到超弹性模型的材料行为。结果表明,与传统方法相比,该方法在识别空洞几何形状、大小和空间分布方面具有更高的准确性。该方法对复杂几何形状和材料非线性的适应性突出了其在航空航天、汽车和生物医学行业的广泛适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Physics-informed neural networks for phase-based material defect identification

The accurate identification of material defects is critical for ensuring structural integrity and performance. Traditional computational methods often struggle to balance efficiency and physical fidelity in complex material systems. This paper presents a novel approach integrating physics-informed neural networks (PINNs) with the phase field method to address these challenges. Our approach leverages a phase field variable to delineate intact regions from voids, while a stress degradation model modifies mechanical responses at defect sites. Neural networks serve as surrogate forward solvers to predict displacement and stress fields, enabling rapid simulations. To ensure compatibility with physical laws, the framework embeds governing equations into the training loss function. Additionally, a data-driven term minimizes discrepancies between simulated and experimentally measured strain fields, enhancing defect localization precision. Numerical experiments validate the framework’s robustness across diverse configurations, including circular, elliptical, irregular, and multiple voids, as well as material behaviors, extending from linear elastic to hyperelastic models. The results demonstrate superior accuracy in identifying void geometry, size, and spatial distribution compared to conventional methods. The proposed approach’s adaptability to complex geometries and material nonlinearities highlights its broad applicability in aerospace, automotive, and biomedical industries.

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来源期刊
Science China Physics, Mechanics & Astronomy
Science China Physics, Mechanics & Astronomy PHYSICS, MULTIDISCIPLINARY-
CiteScore
10.30
自引率
6.20%
发文量
4047
审稿时长
3 months
期刊介绍: Science China Physics, Mechanics & Astronomy, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research. Science China Physics, Mechanics & Astronomy, is published in both print and electronic forms. It is indexed by Science Citation Index. Categories of articles: Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested. Research papers report on important original results in all areas of physics, mechanics and astronomy. Brief reports present short reports in a timely manner of the latest important results.
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