Mathematical models for predicting the quasi-static stress characteristics of corrugated paperboard with sinusoidal core along the longitudinal compression

Li, Xue; Wang, Jun; Huang, Chongxing; Gao, De; Lu, Guoxin; Lu, Lixin; Wang, Zhiwei

doi:10.1016/j.ijmecsci.2018.07.028

Cited by 12 publications

(10 citation statements)

References 18 publications

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“…Riccardo et al 14 studied the overall buckling and wrinkling behavior of sandwich panels with anisotropic panels by linear stability analysis. Li et al 15 presented two mathematical models to predict the initial peak stress and the plateau stress of five-layered and seven-layered corrugated paperboards, respectively, which are simplified and regarded as the orthotropic panels under longitudinal compression. It can be concluded that the proposed models are suitable for the design of multilayered corrugated cartons and cushioning packaging.…”

Section: Introductionmentioning

confidence: 99%

Deformation and compressive strength of corrugated cartons under different indentation shapes: Experimental and simulation study

et al. 2020

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A new method to enhance the compressive strength of corrugated cartons is proposed in this study. The work aims to carry out compression tests on the corrugated carton to analyze the deformation and compressive capacity of the carton under the indentation condition of different shapes. First, compression tests are carried out on nonindentation cartons, one-line indentation cartons, unclosed rhombus indentation cartons, rhombus indentation cartons, and cross-indentation cartons to record their maximum compressive force. Second, by comparing the deformation of different cartons, it is found that rhombus indentation and cross-indentation have the greatest influence on the compressive strength of cartons. Rhombus indentation will enhance the compressive strength of the carton, while cross-indentation will reduce it. Third, ANSYS Workbench is used to analyze the buckling of cartons, and the maximum compressive force of nonindentation cartons and rhombus indentation cartons is obtained. Finally, through the comparison of the finite element method and experiments, it is concluded that rhombus indentation can improve the compressive strength of cartons, which is of great significance to the industrial production of cartons.

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Section: Introductionmentioning

confidence: 99%

Deformation and compressive strength of corrugated cartons under different indentation shapes: Experimental and simulation study

et al. 2020

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“…[9] and Li et al. [10] regarded corrugated paperboard as the orthotropic panels, and validated the presented models by experiments. Guo et al.…”

Section: Introductionmentioning

confidence: 97%

“…Kılıc¸aslan et al [7] and Sarıkaya et al [8] studied the dynamic crushing behavior of multi-layered aluminum corrugation core by experimental and numerical approaches. Moreover, the mechanical properties of corrugated paperboard were paid attention, where Talbi et al [9] and Li et al [10] regarded corrugated paperboard as the orthotropic panels, and validated the presented models by experiments. Guo et al [11] studied the dynamic cushioning characteristics of parallel double-corrugated sandwich structure, orthogonal three-corrugated sandwich structure, elastic-type layered structure, and foldedtype layered structure at different drop impacts.…”

Section: Introductionmentioning

confidence: 99%

Static cushioning energy absorption of paper composite sandwich structures with corrugation and honeycomb cores

Guo

Han

Wang

et al. 2019

Jnl of Sandwich Structures & Materials

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In view of cushioning energy absorption of paper composite sandwich structures with sinusoidal corrugation and hexagonal honeycomb cores, the static yield strength and compression deformation were firstly analyzed by experiments, then the unit volume energy absorption, unit area energy absorption, and specific energy absorption were evaluated. Further, the influences of static compression rate, corrugation types, and honeycomb thickness on the cushioning energy absorption were respectively studied. The experimental observations show that the paper composite sandwich structures are crushed layer by layer due to the difference in the yield strength of sandwiches, and the honeycomb core is crushed after the collapsing of corrugation core. The three evaluation indices of cushioning energy absorption have similar change rule with the compression rate, corrugation types, and honeycomb thickness. The influence of static compression rate on the yield strength and cushioning energy absorption of the paper composite sandwich structure is not obvious. The composite sandwich structures consisting of paper corrugation sandwich with large inertia moment and honeycomb sandwich with large thickness have more excellent cushioning energy absorption, the B-corrugation can increase the unit volume energy absorption of paper composite sandwich structures by up to 18% than C-corrugation, and the 3-honeycomb can increase the unit volume energy absorption of paper composite sandwich structures by up to 32% than 2-honeycomb.

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“…The key to these modelling efforts is to capture both the dissipative and quasi‐static stress strain behaviour of the material. While not directly related to foam noted that the initial quasi‐static constitutive behaviour in corrugated boxes is similar to foam, and thus, the boxes should offer similar shock absorption properties.…”

Section: Introductionmentioning

confidence: 99%

Prediction of cushion curves of polymer foams using a nonlinear distributed parameter model

2019

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Polymer foams are commonly used in the protective packaging of fragile products. Cushion curves are commonly used within the packaging industry to characterize a foam's impact performance. These curves are two‐dimensional representations of the deceleration of an impacting mass versus static stress. Cushion curves are currently generated from exhaustive experimental test data. This study represents the first time that the physics of the mass‐cushion impact have been analysed by modelling the foam as nonlinear, continuous rod. Using a single mode of vibration and excluding the effects of damping, the maximum displacement during the impact can be obtained from a polynomial describing the maximum elastic energy in the foam. The displacements can be used to recover the amplitude of the deceleration shock pulse. Numerical and analytical analysis of the model with damping is considered in its ability to predict the shock pulse shape, duration, and amplitude at various static stresses, foam thickness, and drop heights as compared with experimental data. Furthermore, both the analytical and numerical results agree and are primarily within the expected lab‐to‐lab variability of 18% documented in ASTM D1596 ‐ Standard Test Method for Dynamic Shock Cushioning Characteristics of Packaging Material.

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Mathematical models for predicting the quasi-static stress characteristics of corrugated paperboard with sinusoidal core along the longitudinal compression

Cited by 12 publications

References 18 publications

Deformation and compressive strength of corrugated cartons under different indentation shapes: Experimental and simulation study

Deformation and compressive strength of corrugated cartons under different indentation shapes: Experimental and simulation study

Static cushioning energy absorption of paper composite sandwich structures with corrugation and honeycomb cores

Prediction of cushion curves of polymer foams using a nonlinear distributed parameter model

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