Materials 2021, 14, 6645. https://doi.org/10.3390/ma14216645 www.mdpi.com/journal/materials
Article
Efficient Design of Thin Wall Seating Made of a Single Piece of
Heavy-Duty Corrugated Cardboard
Berta Suarez *, Luisa M. Muneta, Gregorio Romero and Juan D. Sanz-Bobi
Mechanical Engineering Department, Escuela Técnica Superior de Ingenieros Industriales,
Universidad Politécnica de Madrid, C/José Gutiérrez Abascal, 2, 28006 Madrid, Spain;
luisa.mtzmuneta@upm.es (L.M.M.); gregorio.romero@upm.es (G.R.); juandedios.sanz@upm.es (J.D.S.-B.)
* Correspondence: b.suarez@upm.es
Abstract: Corrugated cardboard has waved cores with small flutes that prevent the use of detailed
numerical models of whole structures. Many homogenization methods in the literature overcome
this drawback by defining equivalent homogeneous plates with the same mechanical behaviour at
a macro-mechanical scale. However, few homogenization works have considered complete struc-
tures, focusing mainly on beams or plates. For the first time, this study explores the application of
homogenization approaches to larger structures as an aid in their design process. We also consid-
ered triple-wall boards rather than single- and double-wall configurations commonly addressed in
the literature. To this end, we adapted the homogenization methods proposed by Talbi and Duong
to analyze thin-walled stools made of triple-wall corrugated cardboard. Using a progressive design
process, we performed an efficient stool design by removing material zones with lower stresses,
with 35% less material, 35% lower vertical deflections, and 66% lower stresses than the initial design.
Unlike other corrugated cardboard stools, this design comprises just one folded piece instead of
three, thus saving storage space. These results demonstrate the utility of homogenization techniques
as an aid in the design process of whole structures made of corrugated cardboard. Further research
will consider buckling analysis.
Keywords: composite sandwich structures; thin-walled structures; anisotropic material; corrugated
core; homogenization approach; first-order shear deformation theory; FSDT; FEM simulation; finite
element analysis; design process
1. Introduction
Finite element analysis (FEA) greatly facilitates the design process of many products,
avoiding the construction of failed prototypes. Concerning products made of corrugated
cardboard, this advantage is not so evident since it is inexpensive and easy to handle, so
that prototypes have low economic and time costs. In this paper, the authors aim to show
that FEA can also be very useful when designing products made with this material. The
main advantage is not to avoid prototyping, but to guide the design stages towards more
efficient solutions. Likewise, it could help to choose the most suitable type of cardboard
for each product, avoiding the need to gather an extensive assortment of materials to test
different prototypes.
In this work, we applied FEA to a piece of furniture made of corrugated cardboard
to achieve a more efficient design. To define the material properties, we adapted the ho-
mogenization methods proposed by Talbi [1] and Duong [2], as described in Section 2.3.
Conventional furniture designs often rely on traditional knowledge in handicraft
manufacturing. Moreover, their structural elements are often intentionally oversized.
However, FEA becomes an essential tool when dealing with unconventional furniture
made of thin-wall structural elements. In [3–9], we can find some studies on the FEA of
wood furniture. Other previous research studies also considered other materials, such as
Citation: Suarez, B.; Muneta, L.M.;
Romero, G.; Sanz-Bobi, J.D. Efficient
Design of Thin Wall Seating Made of
a Single Piece of
Heavy-Duty Corrugated Cardboard.
Materials 2021, 14, 6645.
https://doi.org/10.3390/ma14216645
Academic Editors:
Tomasz Garbowski,
Tomasz Gajewski and
Jakub Krzysztof Grabski
Received: 18 September 2021
Accepted: 30 October 2021
Published: 4 November 2021
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