Solving elastic wave equations in 2D transversely isotropic media by a weighted Runge-Kutta discontinuous Galerkin method

He, Xijun; Li, Jing-Shuang; Huang, Xueyuan; Zhou, Yanjie

doi:10.1016/j.petsci.2022.10.007

Cited by 4 publications

(1 citation statement)

References 45 publications

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“…For these reasons, and also to increase the reliability of the simulations, multiple different attempts have been made in the literature to solve these problems without resorting to numerical simulations, either analytically [ 24 , 25 , 26 ] or using statistics or artificial intelligence [ 27 , 28 ]; some of these methods were able to achieve very good results, but the algorithms studied may be too complex to generalize or may be limited in applicability.…”

Section: Introductionmentioning

confidence: 99%

Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Sánchez Iglesias,

Fernández López

2023

Sensors

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This study presents a novel method based on ray tracing for analyzing wave propagation in composites specifically tailored for structural health monitoring applications. This method offers distinct advantages over the commonly used finite element method mainly in computational resource utilization, which has become a limiting factor for these kinds of analyses. The ray tracing method is evaluated against a number of example cases representing structural details such as thickness changes, stringers, or simulated damage, and the significance of ray tracing to study wave propagation under these conditions and how it can serve as a valuable tool for structural health monitoring are highlighted. This model has been developed as part of a complete SHM framework with the intention of being an efficient and simple way to calculate wave propagation and therefore it could be used as a way to determine relevant damage indicators or train an artificial intelligence model.

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Section: Introductionmentioning

confidence: 99%

Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Sánchez Iglesias,

Fernández López

2023

Sensors

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Validation of a ray-tracing-based guided Lamb wave propagation methodology in aerostructures

Sánchez Iglesias,

García Serrano,

Pedraza Rodriguez

et al. 2024

Structural Health Monitoring

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Accurate modeling of guided wave propagation is crucial for structural health monitoring (SHM) systems, where a large amount of information and cases are needed to cover all in-service conditions of a structure. Finite-element models have proven to be accurate enough to simulate the problem; however, they typically require substantial computational resources, and each simulation may require a significant amount of time. This article presents a comprehensive study of a ray-tracing-based wave propagation methodology applied to predict the acoustic behavior of lightweight structures. Focused on composite materials, particularly carbon fiber-reinforced plastic (CFRP), the study addresses the growing need for accurate and fast simulation tools in industries where high-strength lightweight materials play a pivotal role, such as aerospace or automotive. The study presents an examination of the ray tracing method’s effectiveness with series of experimental coupon tests, ranging from a simple metallic plate to a representative CFRP wing lower cover of the Universidad Politécnica de Madrid-LIBIS Unmanned Aerial Vehicle. The investigation spans a distribution of possible damage locations ensuring a comprehensive applicability evaluation. Results demonstrate efficacy in predicting the wave propagation characteristics, including transmission, reflection, and absorption within composite structures, and also an accurate representation of its behavior for in-service damages, both via added masses and real impact damages. The validation involves an in-detail comparison with experimental measurements, evaluating the reliability and applicability of the ray tracing approach. This research not only contributes to the advancement of predictive modeling for acoustic behavior in composite structures but also addresses the broader implications for industries relying on accurate simulations for design optimization and performance evaluation. The validated ray tracing method has proven to be a valuable tool to ensure precise predictions of wave propagation in composite materials, and its computation speed makes the methodology ideal to contribute to a training database for a possible physics-informed machine learning SHM system.

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High-Order Runge-Kutta Discontinuous Galerkin Methods with New Alw-Weno Limiters on Structured Meshes

Li,

Zhu

2024

Preprint

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Solving elastic wave equations in 2D transversely isotropic media by a weighted Runge-Kutta discontinuous Galerkin method

Cited by 4 publications

References 45 publications

Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Evaluating Structural Details’ Influence on Elastic Wave Propagation for Composite Structures via Ray Tracing

Validation of a ray-tracing-based guided Lamb wave propagation methodology in aerostructures

High-Order Runge-Kutta Discontinuous Galerkin Methods with New Alw-Weno Limiters on Structured Meshes

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