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Hindawi Publishing Corporation Advances in Materials Science and Engineering Volume 2014, Article ID 654012, 8 pages http://dx.doi.org/10.1155/2014/654012

Research Article Nonlinear Finite Element Analysis of the Fluted Corrugated Sheet in the Corrugated Cardboard

Zhiguo Zhang, 1,2,3 TaoQiu, 2 Riheng Song, 2 and Yaoyu Sun 2 1 Department of Polymer Science and Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China 2 School of Light Industry, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, China 3 Shengda Group Co., Ltd, Hangzhou, Zhejiang 311264, China Correspondence should be addressed to Zhiguo Zhang; 107023@zust.edu.cn Received 3 February 2014; Revised 20 May 2014; Accepted 21 May 2014; Published 23 July 2014 Academic Editor: Jun Zhang

Copyright © 2014 Zhiguo Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The choice of corrugated medium, flute size, combining adhesive, and linerboards can be varied to design a corrugated board with specific properties. In this paper, the nonlinear finite element analysis of the fluted corrugated sheet in the corrugated cardboard based on software SolidWorks2008 was investigated. The model of corrugated board with three or more flutes is reliable for stress and displacement measurement to eliminate the influence of the number of flutes in models. According to the static pressure test, with the increase of flute height 𝐻 or arc radius of flute, the maximum stress in the models decreased and the maximum displacement increased. However the maximum stress and maximum displacement in the models increase nonlinearly in the static pressure test with the increase of the flute angle 𝜃 . According to the drop test, with the increase of flute height 𝐻 , the maximum stress of goods on the upper board in the drop test decreased. The maximum stress of the model in the drop test decreases firstly and then increases with the increase of flute angle, and the optimal flute angle 𝜃 couldbe60 ∘ for corrugated board. All the conclusions are consistent with experimental data or product standards.

1. Introduction Corrugated containers are the most important structural application of paperboard. Corrugated cardboard is a paper- based material consisting of a fluted corrugated sheet and one or two flat linerboards. It is widely used in the manufacture of corrugated cardboard boxes and shipping containers. The corrugated medium is often 0.026 pounds per square foot (0.13kg/m 2 ) basis weight in the USA; in the UK, a 90 grams per square metre (0.018 lb/sq ft) fluting paper is common. At the single-facer, it is heated, moistened, and formed into a fluted pattern on geared wheels. This is joined to a flat linerboard with a starch based adhesive to form single face board. At the double-backer, a second flat linerboard is adhered to the other side of the fluted medium to form single wall corrugated board. Linerboards are test liners (recycled paper) or kraft paperboard (of various grades). The liner may be bleached white, mottled white, colored, or preprinted [1–3]. The basic geometry of typical twin corrugated wall board is illustrated in Figure 1.

Common flute sizes are “A,” “B,” “C,” “E,” and “F.” The letter designation relates to the order that the flutes were invent- ed, not the relative sizes. Flute size refers to the number of flutes per linear foot, although the actual flute dimensions for different corrugator manufacturers may vary slightly. Measuring the number of flutes per linear foot is a more reliable method of identifying flute size than measuring board thickness, which can vary due to manufacturing conditions. The most common flute size in corrugated cardboard boxes is “C” flute. The choice of corrugated medium, flute size, com- bining adhesive, and linerboards can be varied to engineer a corrugated board with specific properties to match a wide variety of potential uses. The structural performance of a corrugated container is a function of numerous factors including the quality of the input cellulose fibers, the mechanical properties of the liner and medium, and the structural properties of the combined board. The complicated nonlinear behavior or paper makes modeling of the mechanical response of corrugated board

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