Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Johan Cillie, C. Coetzee
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引用次数: 3

Abstract

Finite element analysis (FEA) has been proven as a useful design tool to model corrugated paperboard boxes, and is capable of accurately predicting load capacity. The in-plane deformation, however, is usually significantly underpredicted. To investigate this discrepancy, a panel compression test jig, that implemented simply supported boundary conditions, was built to test individual panels. The panels were then modelled using non-linear FEA with a linear material model. The results show that the in-plane deformation was still underpredicted, but a general improvement was seen. Three discrepancies were identified. The first was that the panels showed an initial region of low stiffness that was not present in the FEA results. This was attributed to imperfections in the panels and jig. Secondly, the experimental results reported a lower stiffness than the FEA. Applying an initial imperfection in the shape of the first buckling mode shape was found to reduce the FEA stiffness. Thirdly, the panels showed a decrease in stiffness near failure, which was not seen in the FEA. A bi-linear material model was investigated and holds the potential to improve the results. Box compression tests were performed on a Regular Slotted Container (RSC) with the same dimensions as the tested panel. The box displaced 13.1 mm compared to 3.5 mm for the panel. There was an initial region of low stiffness, which accounted for 7 mm of displacement compared to 0.5 mm for the panels. Thus, box complexities such as horizontal creases should be included in finite element (FE) models to accurately predict the in-plane deformation, while a bi-linear (or any other non-linear) material model may be useful for panel compression.
瓦楞纸板面内压缩的实验与数值研究
有限元分析(FEA)已被证明是一种有用的设计工具,可以对瓦楞纸箱进行建模,并能够准确预测其承载能力。然而,平面内变形通常被严重低估。为了研究这种差异,建立了一个面板压缩测试夹具,该夹具实现了简单支撑的边界条件,用于测试单个面板。然后使用非线性有限元分析和线性材料模型对面板进行建模。结果表明,对平面内变形的预测仍然不足,但总体上有所改善。发现了三个差异。首先,面板显示出有限元分析结果中没有的低刚度初始区域。这归因于面板和夹具的缺陷。其次,实验结果表明,刚度低于有限元分析。发现在第一屈曲模式形状中应用初始缺陷可以降低有限元分析的刚度。第三,面板在接近失效时显示出刚度的降低,这在有限元分析中没有看到。研究了一个双线性材料模型,该模型具有改进结果的潜力。在具有与测试面板相同尺寸的普通开槽容器(RSC)上进行箱形压缩测试。盒子的位移为13.1毫米,而面板的位移为3.5毫米。存在刚度较低的初始区域,与面板的0.5mm相比,该区域的位移为7mm。因此,应在有限元(FE)模型中包括诸如水平折痕之类的长方体复杂性,以准确预测平面内变形,而双线性(或任何其他非线性)材料模型可能对面板压缩有用。
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来源期刊
Mathematical & Computational Applications
Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
自引率
10.50%
发文量
86
审稿时长
12 weeks
期刊介绍: Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.
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