Box Compression Strength: A Crippling Approach

Corrugated boxes are ubiquitous in shipping and warehousing logistics. In physical distribution, corrugated boxes are often shipped in a unit load form where the interaction between the components determines the effectiveness and safety of the overall system. When lower stiffness pallets are used to support the corrugated boxes, the compression strength of boxes is reduced due to the uneven support conditions caused by the deforming top deckboards of the pallet. In this study, a modification of the principle of beam on elastic foundation was used to predict the effect of pallet deck stiffness on the performance of a corrugated box. In the model, the corrugated box acts as the elastic foundation, and the deckboard is represented as the beam.Pallet deck stiffness, pallet connection stiffness, and package stiffness are required model inputs.The resulting model was capable of predicting the normalized distribution of forces along the boxes 0 length sidewall but was not capable of predicting the compression strength of the box at failure.

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“…Fourth, multi‐modal failure described by Linvill 2015 could further explain the inability of the model to predict box strength.…”

Section: Resultsmentioning

confidence: 98%

Application of beam on elastic foundation to the interaction between a corrugated box and pallet deckboard

et al. 2017

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“…Interesting studies carried out in the work by Gong et al (2020), where the effects of indentation shape on the compressive strength of corrugated cartons are studied by experiments and finite element analysis. A crippling analysis method has been utilized to estimate the compression strength of paperboard boxes in work (Linvill 2015). Two types of tests are required to characterize the crippling strength of material: compression tests of panels with one edge free and compression tests of panels with no edges.…”

Section: Introductionmentioning

confidence: 99%

Empirical Models for Prediction Compression Strength of Paperboard Carton

Pyryev

Kibirkštis

Gegeckienė

et al. 2022

WFS

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When designing packaging in the shape of a rectangular parallelepiped from various paperboard materials, it is important to determine their resistance to vertical compression force, which should be less than the maximum compression force. This is especially relevant when the products packed in these boxes are stacked during transport or storage. The developed empirical models make it possible to more optimally/more accurately determine the critical vertical compressive force of these packages. The purpose of this work is to create an semi-empirical model of the maximum compressive force of a paperboard box (carton) based on the corrected formulas of the maximum compressive force of the McKee corrugated cardboard box (taking into account the height) of the box and allowing to optimize its parameters. The accuracy of the developed semi-empirical models is presented by comparing the results of theoretical and experimental studies. It should be noted that the determination of the maximum compression force of the box is a contact problem of the nonlinear theory of elasticity and plasticity for structures whose elements are made of an anisotropic material. On this basis, semi-empirical models of three and one parameters were developed, which also estimated the values of experimental studies previously performed by other authors. One mathematical model also estimates the height of the box, which is not determined by the McKee formula. For the experiments, we used cartons of different geometric parameters and made from different types of paperboards. During the experiment, the boxes were compressed with vertical force until the packages collapsed. The results of the compared theoretical and experimental studies show the suitability of the proposed

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Model to predict the top-to-bottom compressive strength of folding cartons

Pyryev

Zwierzyński

Kibirkštis

et al. 2019

Nordic Pulp &Amp; Paper Research Journal

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This paper presents a proposed mathematical model, describing the calculations involved in deducting the critical compression force for rectangular, parallelepiped paperboard packaging, and permitting the minimisation of the thickness of the package sidewall. A comparison is given between the obtained calculations regarding critical force and the experimentally-determined results. This has shown a sufficient level of accuracy both for the theoretical and the experimental results. This means that the proposed mathematical engineering calculations model can be applied to the design of rectangular, parallelepiped paperboard packaging.

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Box Compression Strength: A Crippling Approach

Cited by 4 publications

References 3 publications

Application of beam on elastic foundation to the interaction between a corrugated box and pallet deckboard

Application of beam on elastic foundation to the interaction between a corrugated box and pallet deckboard

Empirical Models for Prediction Compression Strength of Paperboard Carton

Model to predict the top-to-bottom compressive strength of folding cartons

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