Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models

This article focuses on the derivation of simplified predictive models for the identification of the overall compressive stiffness and strength of corrugated cardboards. As a representative example an unsymmetrical 5-ply sample (with E and B flute) was used in this study. In order to exclude unrelia...

Full description

Bibliographic Details
Main Authors: Tomasz Garbowski, Jakub Krzysztof Grabski, Aleksander Marek
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/11/2840
_version_ 1797532652012568576
author Tomasz Garbowski
Jakub Krzysztof Grabski
Aleksander Marek
author_facet Tomasz Garbowski
Jakub Krzysztof Grabski
Aleksander Marek
author_sort Tomasz Garbowski
collection DOAJ
description This article focuses on the derivation of simplified predictive models for the identification of the overall compressive stiffness and strength of corrugated cardboards. As a representative example an unsymmetrical 5-ply sample (with E and B flute) was used in this study. In order to exclude unreliable displacement measurement in the standard edge crush test, virtual strain gauges were used. Video extensometry was employed to collect measurements from the outer surfaces of the sample on both sides. Additional data allowed real force-displacement curves to be obtained, which were used in the validation procedure. To emulate the experimental results, besides a simple analytical model, a 3D numerical model fully reflecting the geometry of the corrugated board, based on the finite elements method was also built. In both cases good agreement between the experimental results and the analytical and numerical calculations was observed. This proved that the proposed analytical model can be successfully used to determine the overall stiffness and compressive strength of corrugated board, provided that the geometry and properties of all the layers of the board are known. The simple model presented in this work enables quick and reliable design and prototyping of new assemblies without the need to manufacture them.
first_indexed 2024-03-10T11:02:20Z
format Article
id doaj.art-4812f78baf334eee98243381ed6c5d17
institution Directory Open Access Journal
issn 1996-1944
language English
last_indexed 2024-03-10T11:02:20Z
publishDate 2021-05-01
publisher MDPI AG
record_format Article
series Materials
spelling doaj.art-4812f78baf334eee98243381ed6c5d172023-11-21T21:24:15ZengMDPI AGMaterials1996-19442021-05-011411284010.3390/ma14112840Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive ModelsTomasz Garbowski0Jakub Krzysztof Grabski1Aleksander Marek2Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 50, 60-627 Poznań, PolandInstitute of Applied Mechanics, Poznan University of Technology, Jana Pawła II 24, 60-965 Poznań, PolandFaculty of Engineering and Physical Sciences, University of Southampton, Highfield SO171BJ, UKThis article focuses on the derivation of simplified predictive models for the identification of the overall compressive stiffness and strength of corrugated cardboards. As a representative example an unsymmetrical 5-ply sample (with E and B flute) was used in this study. In order to exclude unreliable displacement measurement in the standard edge crush test, virtual strain gauges were used. Video extensometry was employed to collect measurements from the outer surfaces of the sample on both sides. Additional data allowed real force-displacement curves to be obtained, which were used in the validation procedure. To emulate the experimental results, besides a simple analytical model, a 3D numerical model fully reflecting the geometry of the corrugated board, based on the finite elements method was also built. In both cases good agreement between the experimental results and the analytical and numerical calculations was observed. This proved that the proposed analytical model can be successfully used to determine the overall stiffness and compressive strength of corrugated board, provided that the geometry and properties of all the layers of the board are known. The simple model presented in this work enables quick and reliable design and prototyping of new assemblies without the need to manufacture them.https://www.mdpi.com/1996-1944/14/11/2840corrugated cardboardedge crush testorthotropic elasticitydigital image correlation
spellingShingle Tomasz Garbowski
Jakub Krzysztof Grabski
Aleksander Marek
Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
Materials
corrugated cardboard
edge crush test
orthotropic elasticity
digital image correlation
title Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
title_full Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
title_fullStr Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
title_full_unstemmed Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
title_short Full-Field Measurements in the Edge Crush Test of a Corrugated Board—Analytical and Numerical Predictive Models
title_sort full field measurements in the edge crush test of a corrugated board analytical and numerical predictive models
topic corrugated cardboard
edge crush test
orthotropic elasticity
digital image correlation
url https://www.mdpi.com/1996-1944/14/11/2840
work_keys_str_mv AT tomaszgarbowski fullfieldmeasurementsintheedgecrushtestofacorrugatedboardanalyticalandnumericalpredictivemodels
AT jakubkrzysztofgrabski fullfieldmeasurementsintheedgecrushtestofacorrugatedboardanalyticalandnumericalpredictivemodels
AT aleksandermarek fullfieldmeasurementsintheedgecrushtestofacorrugatedboardanalyticalandnumericalpredictivemodels