Thermal characterization of complex shape composite materials using Karhunen–Loève decomposition techniques

IF 1.1 4区工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY

Inverse Problems in Science and Engineering Pub Date : 2021-07-07 DOI:10.1080/17415977.2021.1945050

M. Mint Brahim, A. Godin, M. Azaïez, E. Palomo Del Barrio

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引用次数: 0

Abstract

A new method for estimating the thermal properties of composite materials is proposed. It uses a previously developed thermal characterization method that is based on Karhunen–Loève decomposition (KLD) techniques in association with infrared thermography experiments or any other kind of experimental device providing dense data in spatial coordinates. The novelty of this work lies in the introduction of two techniques based on two phase-wise defined test functions that extend the previously developed method to cases where the morphology of the composite material is not straightforward. Thanks to the orthogonal properties of KLD, only a few eigenelements are needed for an accurate estimation, which allows for a significant amplification of the signal/noise ratios. Furthermore, the proposed methods represent an attractive combination of parsimony and robustness to noise thanks to spatially uncorrelated noise being entirely reported on states. The effectiveness and accuracy of both techniques are proven with numerical tests.

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使用Karhunen–Loève分解技术对复杂形状复合材料的热表征

提出了一种估算复合材料热性能的新方法。它使用了一种先前开发的热表征方法，该方法基于Karhunen–Loève分解（KLD）技术，结合红外热成像实验或任何其他类型的实验设备，在空间坐标中提供密集数据。这项工作的新颖性在于引入了两种基于两个阶段定义的测试函数的技术，将之前开发的方法扩展到复合材料形态不直接的情况。由于KLD的正交特性，精确估计只需要几个本征元，这允许显著放大信噪比。此外，由于在状态上完全报告了空间上不相关的噪声，所提出的方法代表了简约性和对噪声的鲁棒性的有吸引力的组合。数值试验证明了这两种技术的有效性和准确性。

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来源期刊

Inverse Problems in Science and Engineering 工程技术-工程：综合

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Inverse Problems in Science and Engineering provides an international forum for the discussion of conceptual ideas and methods for the practical solution of applied inverse problems. The Journal aims to address the needs of practising engineers, mathematicians and researchers and to serve as a focal point for the quick communication of ideas. Papers must provide several non-trivial examples of practical applications. Multidisciplinary applied papers are particularly welcome. Topics include: -Shape design: determination of shape, size and location of domains (shape identification or optimization in acoustics, aerodynamics, electromagnets, etc; detection of voids and cracks). -Material properties: determination of physical properties of media. -Boundary values/initial values: identification of the proper boundary conditions and/or initial conditions (tomographic problems involving X-rays, ultrasonics, optics, thermal sources etc; determination of thermal, stress/strain, electromagnetic, fluid flow etc. boundary conditions on inaccessible boundaries; determination of initial chemical composition, etc.). -Forces and sources: determination of the unknown external forces or inputs acting on a domain (structural dynamic modification and reconstruction) and internal concentrated and distributed sources/sinks (sources of heat, noise, electromagnetic radiation, etc.). -Governing equations: inference of analytic forms of partial and/or integral equations governing the variation of measured field quantities.