Numerical and Experimental Validation of Homogenization Techniques for Bubble Deck Slabs
2025, Garbowski, Tomasz, Staszak, Natalia, Kostrzewski, Wojciech, Szymczak-Graczyk, Anna
This study investigates the deflection behaviour of Bubble Deck slabs using numerical and experimental approaches. Two techniques—numerical homogenization and 3D cross-sectional integration—are applied to derive equivalent properties for simplified finite element models. A scaled slab specimen (1020×2040×60 mm) with a reinforcement mesh of Ø4 bars spaced at 30 mm (top and bottom) and plastic spheres (Ø40 mm, spaced at 60 mm) is tested under self-weight and a mid-span linear load. The slab, simply supported on two shorter edges, is modelled both in full 3D and using simplified 2D model with homogenized parameters. Experimental deflections are compared with numerical and analytical/theoretical predictions to validate the proposed techniques, demonstrating their effectiveness in simplifying structural analyses while maintaining accuracy.
Modified Compression Test of Corrugated Board Fruit Tray: Numerical Modeling and Global Sensitivity Analysis
2023, Garbowski, Tomasz, Mrówczyński, Damian, Grabski, Jakub Krzysztof
This article presents a modified configuration of the box compression test (BCT), which reflects the actual behavior of the vegetable or fruit trays during transport and storage. In traditional load capacity tests, trays are treated as classic transport boxes, i.e., they are compressed between two rigid plates, which does not take into account the specific geometry of this type of packaging. Both the boundary conditions and the loads acting on the tray were modified. The paper presents the concept of a new test, as well as numerical models and a sensitivity analysis of the modified BCT to the basic geometrical dimensions of the tray. The conducted research clearly shows that the proposed configuration of the load-bearing capacity test of a tray is closer to the actual operation of the packaging. As a result, most of the parameters that are not active under the conditions of the classical BCT become more important in the new configuration, which corresponds to the observations on the real performance of the packaging.
Investigating the Effect of Perforations on the Load-Bearing Capacity of Cardboard Packaging
2024, Andrzejak, Kacper, Mrówczyński, Damian, Gajewski, Tomasz, Garbowski, Tomasz
The impact of perforation patterns on the compressive strength of cardboard packaging is a critical concern in the packaging industry, where optimizing material usage without compromising structural integrity is essential. This study aims to investigate how different perforation designs affect the load-bearing capacity of cardboard boxes. Utilizing finite element method (FEM) simulations, we assessed the compressive strength of packaging made of various types of corrugated cardboards, including E, B, C, EB, and BC flutes with different heights. Mechanical testing was conducted to obtain accurate material properties for the simulations. Packaging dimensions were varied to generalize the findings across different sizes. Results showed that perforation patterns significantly influenced the compressive strength, with reductions ranging from 14% to 43%, compared to non-perforated packaging. Notably, perforations on multiple walls resulted in the highest strength reductions. The study concludes that while perforations are necessary for functionality and aesthetics, their design must be carefully considered to minimize negative impacts on structural integrity. These findings provide valuable insights for designing more efficient and sustainable packaging solutions in the industry.
Inverse-based multi-step numerical homogenization for mechanical characterization of converted corrugated board
2025, Garbowski, Tomasz, Cornaggia, Aram, Gajewski, Tomasz, Grabski, Jakub K., Mrówczyński, Damian
A Simplified Dynamic Strength Analysis of Cardboard Packaging Subjected to Transport Loads
2023, Mrówczyński, Damian, Gajewski, Tomasz, Garbowski, Tomasz
The article presents a simplified method for determining the strength of corrugated board packaging subjected to dynamic transport loads. The proposed algorithm consists of several calculation steps: (1) a static analysis of the compressive strength of the package, (2) an analysis of random vibrations in the frequency domain used to determine the resonance frequencies and (3) a dynamic analysis of the package loaded with computed resonant frequencies. For this purpose, numerical models of the static compression test of the packaging before and after the dynamic analysis of the package subjected to general transport loads were developed. In order to validate the model, laboratory packaging compression tests were also performed for samples of boxes using three-layer cardboard. Due to this, it was possible to verify the numerical simulation results of the compression tests for several box geometries. This, in turn, allowed for the development of a method based on dynamic and post-dynamic (static) numerical analyses, permitting a high-accuracy determination of the resistance of the selected packaging to vibrations and dynamic loads. The results of the (experimentally validated) numerical analysis proved the usefulness of the simplified method presented herein for precise estimation of the load capacity of various packages dynamically loaded during transport.
Computer-Aided Structural Diagnosis of Bridges Using Combinations of Static and Dynamic Tests: A Preliminary Investigation
2023, Garbowski, Tomasz, Cornaggia, Aram, Zaborowicz, Maciej, Sowa, Sławomir
Reinforced concrete bridges deteriorate over time, therefore displaying a regular need for structural assessment and diagnosis. The reasons for their deterioration are often the following: (a) intensive use, (b) very dynamic loads acting for long periods of time, (c) and sometimes chemical processes that damage the concrete or lead to corrosion of the reinforcement. Assuming the hypothesis that both the stiffness of the material and its density change over time, these parameters shall be identified, preferably in a non-destructive way, in different locations of the investigated structure. Such task is expected to be possibly exerted by means of one or more tests, which must not be laborious or cause the bridge to be out of service for a long time. In this paper, an attempt is made to prepare a procedure based on dynamic tests supplemented with several static measurements, in order to identify the largest number of parameters in the shortest possible time, within an inverse analysis methodology. The proposed procedure employs a popular algorithm for minimizing the objective function, i.e., trust region in the least square framework, as part of the inverse analysis, where the difference between measurements made in situ and those calculated numerically is minimized. As a result of the work performed, optimal sets of measurements and test configurations are proposed, allowing the searched parameters to be found in a reliable manner, with the greatest possible precision.