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Identification of Spatial Modulus Distribution of Chopped Carbon Fiber Tape-reinforced Thermoplastic Structures Using Modal Test-based Inverse Analysis

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Abstract

The identification of elastic constants of carbon fiber reinforced plastic structures is vital for understanding their deformation characteristics and evaluating molding quality. In contrast to conventional mechanical testing methods, this study devised a combined experimental–numerical method that can identify the detailed spatial elastic constant distribution of a structure based on its natural frequencies, which were measured by modal tests and predicted using finite element (FE) simulations. A genetic algorithm (GA)-based parametric optimization process was then applied to iteratively update the moduli settings in the FE model, aiming to minimize the discrepancy between the simulated and experimentally measured natural frequencies of the structure. The final converged moduli set in the FE model comprised the identified modulus distributions of the structure. In addition, several model simplification methods were discussed to simplify the complexity of the parameter optimization. Design of experiment (DOE) method was found to be effective in screening the main design variables. Moreover, multiple calculation strategies were evaluated to enhance the accuracy of the identification process. A novel calculation strategy that integrated multiple FE models was demonstrated to achieve satisfactory accuracy for the evaluated structures. To demonstrate and validate the proposed approach, chopped carbon fiber tape-reinforced thermoplastic (CTT) plate and hat-shaped structures were utilized as examples.

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Data Availability

The data that support the findings of this study are available from the corresponding author, Ye Zhang, upon reasonable request.

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Acknowledgements

This study is partially supported by the Japanese METI project “the Future Pioneering Projects/Innovative Structural Materials Project” since 2013fy. The authors express sincere appreciation to the project members who have provided valuable information and support. In addition, the authors would like to thank the Industrial Technology Center of Fukui Prefecture for providing material for this study.

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Authors and Affiliations

  1. Department of Systems Innovation, the University of Tokyo, 7-3-1, Hongo, Bunkyo-Ku, Tokyo, 113-8656, Japan

    Y. Zhang, B. **ao, Y. Wan, W. Huang & J. Takahashi

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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Ye Zhang and Bing **ao. The first draft of the manuscript was written by Ye Zhang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Y. Zhang.

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Zhang, Y., **ao, B., Wan, Y. et al. Identification of Spatial Modulus Distribution of Chopped Carbon Fiber Tape-reinforced Thermoplastic Structures Using Modal Test-based Inverse Analysis. Appl Compos Mater 30, 1785–1818 (2023). https://doi.org/10.1007/s10443-023-10147-3

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