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Non‐Local Sensitivity Analysis and Numerical Homogenization in Optimal Design of Single‐Wall Corrugated Board Packaging


[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.6] Civil engineering and transport

Year of publication


Published in


Journal year: 2022 | Journal volume: vol. 15 | Journal number: iss. 3

Article type

scientific article

Publication language


  • corrugated cardboard
  • non-local sensitivity analysis
  • numerical homogenization
  • optimal packaging
  • box compressive strength
  • critical load
  • orthotropic plate

EN The optimal selection of the composition of corrugated cardboard dedicated to specific packaging structures is not an easy task. The use of lighter boards saves material, but at the same time increases the risk of not meeting the guaranteed load capacity. Therefore, the answer to the question “in which layer the basis weight of the paper should be increased?” is not simple or obvious. The method proposed here makes it easy to understand which components and to what extent they affect the load-bearing capacity of packages of various dimensions. The use of numerical homogenization allows for a quick transformation of a cardboard sample, i.e., a representative volume element (RVE) into a flat plate structure with effective parameters describing the membrane and bending stiffness. On the other hand, the use of non-local sensitivity analysis makes it possible to find the relationship between the parameters of the paper and the load capacity of the packaging. The analytical procedures presented in our previous studies were used here to determine (1) the edge crush resistance, (2) critical load, and (3) the load capacity of corrugated cardboard packaging. The method proposed here allows for obtaining a comprehensive and hierarchical list of the parameters that play the most important role in the process of optimal packaging design.

Date of online publication


Pages (from - to)

720-1 - 720-18





Article Number: 720

License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Points of MNiSW / journal


Impact Factor

3.623 [List 2020]

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