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Volume 119
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Proceeding Paper

An Advanced Stochastic 1D Inverse Finite Element Method for Strain Extrapolation with Experimental Validation †

by
Jacopo Bardiani
*,
Roberto Marotta
,
Emanuele Petriconi
,
Georgios Aravanis
,
Andrea Manes
and
Claudio Sbarufatti
Department of Mechanical Engineering, Politecnico di Milano, via La Masa 1, 20156 Milano, Italy
*
Author to whom correspondence should be addressed.
†
Presented at the 8th International Conference of Engineering Against Failure (ICEAF VIII), Kalamata, Greece, 22–25 June 2025.
Eng. Proc. 2025, 119(1), 8; https://doi.org/10.3390/engproc2025119008
Published: 10 December 2025
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Abstract

The Inverse Finite Element Method (iFEM) is a valuable tool for reconstructing displacement fields from strain measurements, making it ideal for structural health monitoring. Traditional iFEM approaches are deterministic and typically require dense sensor networks for accurate results. However, practical constraints—such as limited sensor placement and cost—call for robust extrapolation techniques to estimate strain in non-instrumented regions. This paper proposes a stochastic 1D iFEM framework that integrates uncertainty quantification into the strain extrapolation process. By assigning confidence weights to extrapolated values, the method enhances the reliability of displacement reconstruction in sparsely instrumented structures. The approach is validated through numerical and experimental studies, demonstrating improved accuracy and robustness compared to traditional interpolation methods, even under varying loading conditions. The results confirm the method’s suitability for real-world applications in aerospace, civil, and naval engineering, particularly when direct strain measurements are limited.
Keywords: shape sensing; iFEM; Gaussian Process; strain pre-extrapolation; uncertainty quantification; missing strain data shape sensing; iFEM; Gaussian Process; strain pre-extrapolation; uncertainty quantification; missing strain data

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MDPI and ACS Style

Bardiani, J.; Marotta, R.; Petriconi, E.; Aravanis, G.; Manes, A.; Sbarufatti, C. An Advanced Stochastic 1D Inverse Finite Element Method for Strain Extrapolation with Experimental Validation. Eng. Proc. 2025, 119, 8. https://doi.org/10.3390/engproc2025119008

AMA Style

Bardiani J, Marotta R, Petriconi E, Aravanis G, Manes A, Sbarufatti C. An Advanced Stochastic 1D Inverse Finite Element Method for Strain Extrapolation with Experimental Validation. Engineering Proceedings. 2025; 119(1):8. https://doi.org/10.3390/engproc2025119008

Chicago/Turabian Style

Bardiani, Jacopo, Roberto Marotta, Emanuele Petriconi, Georgios Aravanis, Andrea Manes, and Claudio Sbarufatti. 2025. "An Advanced Stochastic 1D Inverse Finite Element Method for Strain Extrapolation with Experimental Validation" Engineering Proceedings 119, no. 1: 8. https://doi.org/10.3390/engproc2025119008

APA Style

Bardiani, J., Marotta, R., Petriconi, E., Aravanis, G., Manes, A., & Sbarufatti, C. (2025). An Advanced Stochastic 1D Inverse Finite Element Method for Strain Extrapolation with Experimental Validation. Engineering Proceedings, 119(1), 8. https://doi.org/10.3390/engproc2025119008

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