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.

提出了一种估计复合材料热性能的新方法。它使用先前开发的热表征方法，该方法基于 Karhunen-Loève 分解 (KLD) 技术，并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。这项工作的新颖之处在于引入了两种基于两个阶段定义的测试函数的技术，将先前开发的方法扩展到复合材料的形态不直接的情况。由于 KLD 的正交特性，准确估计只需要几个特征元素，这允许显着放大信噪比。此外，由于完全在状态上报告了空间不相关的噪声，因此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。这两种技术的有效性和准确性都通过数值测试得到证明。