A constitutive model for paperboard including wrinkle prediction and post-wrinkle behavior applied to deep drawing

Linvill, Eric; Wallmeier, Malte; Östlund, Sören

doi:10.1016/j.ijsolstr.2017.03.029

Cited by 15 publications

(8 citation statements)

References 27 publications

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“…A statistical approach has been applied additionally in [249] in order to include the occurrence of rupture. Furthermore, wrinkle prediction as well as the post-wrinkle behavior have been included into the model in [155].…”

Section: Forming and Deep-drawingmentioning

confidence: 99%

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

Simon

2020

Arch Computat Methods Eng

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Paper and paperboard are widely used in packaging products. The material behavior of paper and paperboard is very complex because different scales need to be considered in order to describe all relevant effects and phenomena. In particular, at least three scales can be distinguished: the fiber scale, network scale, and sheet scale. Since it is extremely challenging to measure the material behavior experimentally on all of these scales simultaneously, computational modeling of these materials has gained importance in recent years. This work aims at giving a systematic review of the numerical approaches and obtained results published in recent years. Focus is set on both the recent trends and achievements as well as challenges and open questions.

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Section: Forming and Deep-drawingmentioning

confidence: 99%

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

Simon

2020

Arch Computat Methods Eng

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“…Deep drawing and tray forming of paperboard has been simulated in earlier studies, 12–14 with different numerical approaches and objectives. In Wallmeier et al 12 the effects of varying the blank holder force, the die temperature, and the thickness of the paperboard were investigated.…”

Section: Introductionmentioning

confidence: 99%

“…It could also be seen that this effect was greater for the first paperboard having a higher Young's modulus compared to the second investigated paperboard, which had a larger strain to failure. The approach with hinge connector elements for the creases is investigated more in detail in Livill et al, 14 where the approach allows for spontaneous wrinkling, that is, the number of creases or the position of them do not need to be known by forehand. The approach is included in deep drawing simulations and shows that the number of creases is about the same as in experiments.…”

Section: Introductionmentioning

confidence: 99%

Tray forming operation of paperboard: A case study using implicit finite element analysis

Lindberg

Kulachenko

2021

Packag Technol Sci

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The possibility to perform advanced forming operations of initially plane paperboard paves the way to making products like food trays, plates, cups and other containers as a part of shifting towards a circular bioeconomy. As a part of the ongoing efforts of expanding the product range using paperboard, we performed analyses of the forming operation using simulations. An implicit non‐linear finite element model is built to more accurately than previous studies simulate the tray forming process of paperboard. Two different commercial paperboards are investigated. The use of an implicit solver enabled the inclusion of the creasing pattern into the geometry of the paperboard blank resolving the formation of wrinkles during forming. The material data is extracted from tensile test curves of the investigated paperboards and was fitted accurately using Hill's plasticity with difference in tension and compression accounted for with subsequent failure evaluation. The results showed that the inclusion of the creases in the geometry is vital for getting a correct shape of the formed tray and important for decreasing the risk of failure. The results also showed that friction has a big impact on the formed shape and hence on the stress levels, and therefore supports the means of lowering friction between the blank holder and the blank during the tray forming operation. A stochastic approach is proposed to determine the probability of failure for the boards. The performed failure evaluation is consistent with the field observations. The developed approach enables more precise simulations of paperboard tray forming.

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“…From the perspective of physical experiment and numerical simulation, some other studies are performed to reveal the highly complex microstructural processes governing the mechanical response 7,9 . Linvill et al 10 introduced a new model for perfectly plastic hinges. And the new model that utilized a hinge yield strength was applied to wrinkled paperboard and validated.…”

Section: Introductionmentioning

confidence: 99%

Modelling multiple impacts on the out‐of‐plane cushioning properties of honeycomb paperboard

Jiao

Wang

et al. 2021

Packag Technol Sci

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In order to simulate the multiple impacts on the packaging in logistics transportation, the honeycomb paperboard was subjected to constant amplitude multiple impacts with the dropping height of 5, 20, 40 and 60 cm, respectively. A critical dropping height was defined to divide the intensity to low ones (the dropping height of 5 cm) and high ones (the dropping heights of 20, 40 and 60 cm). Then, quasi‐static compression was performed to study the constitutive model of paper honeycomb. The cushioning response of honeycomb paperboard under out‐of‐plane multiple impacts was studied. A model for the initial peak stress under multiple impacts at low intensity was derived, depending on the critical buckling load of cell walls in elastic region. The effects of high‐intensity multiple impacts on elastic strain, plastic strain and Young's modulus were analyzed, and the theoretical models were also developed respectively. Finally, the model of energy absorption performance of honeycomb paperboard under multiple impacts was suggested and shown great agreement with the experimental results. The results should be helpful for protective packaging design in practical logistics and honeycomb paperboard structure optimization.

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A constitutive model for paperboard including wrinkle prediction and post-wrinkle behavior applied to deep drawing

Cited by 15 publications

References 27 publications

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

Tray forming operation of paperboard: A case study using implicit finite element analysis

Modelling multiple impacts on the out‐of‐plane cushioning properties of honeycomb paperboard

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