Bending fatigue of single-wall and double-wall corrugated paperboards under sinusoidal and random loads

Abstract

The bending fatigue tests of single-wall and double-wall corrugated paperboards were conducted to obtain the ε_rms–N curves under sinusoidal and random loads in this paper. The ε_rms–N equation of corrugated paperboard can be described by modified Coffin–Manson model considering the effect of mean stress. Four independent fatigue parameters are obtained for single-wall and double-wall corrugated paperboards. The ε_rms–N curve under random load moves left and rotates clockwise compared with that under sinusoidal load. The fatigue life under random load is much less than that under sinusoidal load, and the fatigue design of corrugated box should be based on the fatigue result under random load. The stiffness degradation and energy dissipation of double-wall corrugated paperboard before approaching fatigue failure are very different from that of single-wall one. For double-wall corrugated paperboard, two turning points occur in the stiffness degradation, and fluctuation occurs in the energy dissipation. Different from metal materials, the bending fatigue failure of corrugated paperboard is a process of wrinkle forming, spreading, and folding. The results obtained have practical values for the design of vibration fatigue of corrugated box.

Keywords

Bending fatigue corrugated paperboard residual stiffness energy dissipation

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References

Wolfenden

and Urbanik

TJ.

Force plate for corrugated container vibration tests. J Test Eval 1990; 18: 359–362.

Godshall

WD.

Frequency response, damping, and transmissibility characteristics of top-loaded corrugated containers. USDA Fed Res Paper FPL 1971; 60.

Jamialahmadi

Trost

and Östlund

A proposed tool to determine dynamic load distribution between corrugated boxes. Packag Technol Sci 2011; 24: 317–329.

Wang

and Fang

Dynamic performance of stacked packaging units. Packag Technol Sci 2016; 29: 491–511.

Fang

and Wang

ZW.

The statistical characteristics of maxima of contact force in stacked packaging units under random vibration. Packag Technol Sci 2018; 31: 261–276.

Fang

and Wang

ZW.

Influence of jumping phenomenon on response of package under random vibration. Packag Technol Sci 2018; 31: 585–599.

Liu

and Wang

Non-Gaussian features of product response in stacked packaging unit. Packag J 2017; 9: 20–32. (in Chinese).

Lin

and Wang

Response of two layer stacked packaging unit in random vibration. Packag J 2017; 9: 10–19. (in Chinese).

Wang

and Qi

Experimental study of dynamic response of two layers stacked packaging units of computers. J Mech Eng 2017; 53: 90–99. (in Chinese).

10.

Wang

and Zhong

LL.

Finite element analysis and experimental investigation of beer bottle-turnover boxes transport unit under random vibration excitation. Packag Technol Sci 2020; 33: 197–214.

11.

Lamb

Rouillard

and Sek

MA.

Monitoring the evolution of damage in packaging systems under sustained random loads. Packag Technol Sci 2012; 25: 39–51.

12.

Wang

Lai

and Wang

ZW.

Fatigue failure and G(rms)–N curve of corrugated paperboard box. J Vib Control 2020; 26: 1028–1041.

13.

Wang

and Wang

LJ.

On accelerated random vibration testing of product based on component acceleration RMS–life curve. J Vib Control 2018; 24: 3384–3399.

14.

Wang

and Wang

LJ.

Accelerated random vibration testing of transport packaging system based on acceleration PSD. Packag Technol Sci 2017; 30: 621–643.

15.

Sonsino

CM.

Fatigue testing under variable amplitude loading. Int J Fatigue 2007; 29: 1080–1089.

16.

Sharma

Gibson

and Ayorinde

EO.

Fatigue of foam and honeycomb core composite sandwich structures: a tutorial. J Sandw Struct Mater 2006; 8: 263–319.

17.

Manca

Berggreen

Carlsson

, et al. Fatigue characterization of poly vinyl chloride (PVC) foam core sandwich composite using the G-control method. J Sandw Struct Mater 2016; 18: 374–394.

18.

Feng

DharMalingam

Zakaria

, et al. Investigation on the fatigue life characteristic of kenaf/glass woven–ply reinforced metal sandwich materials. J Sandw Struct Mater 2019; 21: 2440–2455.

19.

Benasciutti

and Tovo

Fatigue life assessment in non-Gaussian random loadings. Int J Fatigue 2006; 28: 733–746.

20.

Braccesi

Cianetti

and Tomassini

Random fatigue. A new frequency domain criterion for the damage evaluation of mechanical components. Int J Fatigue 2015; 70: 417–427.

21.

Benasciutti

Braccesi

Cianetti

, et al. Fatigue damage assessment in wide-band uniaxial random loadings by PSD decomposition: outcomes from recent research. Int J Fatigue 2016; 91: 248–250.

22.

Wang

and Sun

YC.

Experimental investigation on bending fatigue failure of corrugated paperboard. Packag Technol Sci 2018; 31: 601–609.

23.

Liu

Liang

and Lee

GC.

Low-cycle bending-fatigue strength of steel bars under random excitation. Part I: behavior. J Struct Eng 2005; 131: 913–918.

24.

ASTM D790-17. Standard test methods for flexural properties of unreinforced and reinforced plastics and electrical insulating materials. https://www.astm.org/Standards/D790.htm (2017, accessed 9 December 2019).

25.

ASTM C393-16. Standard test method for core shear properties of sandwich constructions by beam flexure. www.astm.org/Standards/C393.htm (2016, accessed 9 December 2019).

26.

Han

and Park

JM.

Finite element analysis of vent/hand hole designs for corrugated fibreboard boxes. Packag Technol Sci 2007; 20: 39–47.

27.

Coffin

JL.

A study of the effects of cyclic thermal stresses on a ductile metal. Trans ASME 1954; 76: 931–950.

28.

Manson

SS.

Behaviour of materials under conditions of thermal stress. NACA Report 1170, Lewis Flight Propulsion Laboratory, Cleveland, 1954.

29.

Socie

and Morrow

Review of contemporary approaches to fatigue damage analysis. FCP Report No. 24, University of Illinois, 1976.

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