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Graphs are widely recognized for their ability to reduce data dimensionality while preserving essential structural and mechanical information. Computational efficiency can then be improved compared to methods relying on raw image data. Additionally, graphs can provide more detailed information about the underlying mechanical behavior, making them potentially powerful tools for structural analysis. In the continuation of a recent study [1], this paper proposes a novel approach to represent a truss structure approach based on the original geometry of the corrugated board profile during out-of-plane compression by using graphs. The corrugated board is transformed from an image into a graph structure, which is then considered a truss system. This approach allows for the calculation of shear, moment, and axial stress profiles throughout the different phases of the compression test, considering the information from the load-deformation curve as complementary to the model. The main findings indicate that stress analysis of the graph-truss model reveals regions of maximum bending moments and shear stresses, particularly near contact areas between the liners and fluting segments, where localized buckling frequently occurs. The results demonstrate that this graph-based truss representation not only aligns with observed physical phenomena but also offers a deeper understanding of the stress distribution and deformation mechanisms in corrugated boards. The authors believe this method provides a versatile framework for studying the mechanics of corrugated boards for further optimization [2] and holds potential for broader applications to other engineering structures under complex loading conditions.
[1] Belfekih, T., Fitas, R., Schaffrath, H. -J., \& Schabel, S. (2024). Graph-Based Analysis for the Characterization of Corrugated Board Compression. Materials, 17(24), 6083. https://doi.org/10.3390/ma17246083
[2] Fitas, R., Schaffrath, H. J., \& Schabel, S. (2023). A Review of Optimization for Corrugated Boards. Sustainability, 15(21), 15588. https://doi.org/10.3390/su152115588
