Skip to main content
Log in

Study on the rheological model of Xuan paper

  • Original
  • Published:
Wood Science and Technology Aims and scope Submit manuscript

Abstract

In this paper, the creep and relaxation behaviors of Xuan paper during the stretching process were studied. The results indicated that Burgers model could describe the creep behavior of Xuan paper perfectly including elastic deformation, viscoelastic deformation and plastic deformation. For the total creep, elastic strain, viscoelastic strain and plastic strain accounted for 62–78, 17–25, and 4–13 %, respectively. At a certain temperature and humidity, elastic strain, viscoelastic strain and plastic strain increased with the increase in stress in the range of 0.2–0.8σ max, and the proportion of viscoelastic and plastic strain increased, but the proportion of elastic strain decreased. Further, the proportion of each strain tended to be stable at last. A five-element Maxwell model could describe the relaxation of Xuan paper effectively. There were few influences on the parameters of five-element Maxwell model by strain levels, so these parameters could be regarded as material constants.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Acha B, Reboredo MM, Marcovich NE (2007) Creep and dynamic mechanical behavior of PP-jute composites: effect of the interfacial adhesion. Compos A Appl Sci Manuf 38:1507–1516

    Article  Google Scholar 

  • Alfthan J (2005) Linear constitutive model for mechano-sorptive creep in paper. Int J Solids Struct 42:6261–6276

    Article  Google Scholar 

  • Amino Y (2005) Bamboo–precocious wood composite beams: bending capacity for long-term loading. J Bamboo Rattan 4(1):55–70

    Article  Google Scholar 

  • Cai Q, Hu K (2001) Creep failure of paper sheet in the constant tensile loads. Trans China Pulp Pap 16(2):91–95

    Google Scholar 

  • Chen Y (1985) The property of paper (translation). China Light Industry Press, Beijing

    Google Scholar 

  • DeMaio A, Patterson T (2004) The role of bonding on the tensile creep behavior of paper. In: Proceedings of the 2004 progress in paper physics seminar. Trondheim, Norway, pp 41–42

  • Dinwoodie JM (1981) Creep in chipboard Part 3: initial assessment of the influence of moisture content and level of stressing on rate of creep and time to failure. Wood Sci Technol 15:125–144

    Article  Google Scholar 

  • Jiménez L, Pérez I, de la Torre MJ, García JC (2000) Influence of process variables on the properties of pulp and paper sheets obtained by sulphite pulping of Olive tree wood. Wood Sci Technol 34:135–149

    Article  Google Scholar 

  • Lee S-Y, Yang H-S (2004) Creep behavior and manufacturing parameters of wood fiber filled polypropylene composites. Compos Struct 65:459–469

    Article  Google Scholar 

  • Li D (1998) A preliminary study of bending creep of Italy Poplar. J Sichuan Agric Univ 16(1):99–101

    Google Scholar 

  • Luner P (1988) Evaluation of paper permanence. Wood Sci Technol 22:81–97

    Article  CAS  Google Scholar 

  • Ma D, He P, Xu Z (1999) Polymer structure and performance. Science Press, Beijing

    Google Scholar 

  • Ma J, Yang D, Gong F (2005) The application of computer in chemistry and chemical engineering. High Education Press, Beijing

    Google Scholar 

  • Nunez AJ, Marcovich NE, Aranguren MI (2004) Analysis of the creep behavior of polypropylene–woodflour composites. Polym Eng Sci 44(8):1594–1603

    Article  CAS  Google Scholar 

  • Olsson A-M, Salmén L (2014) Mechano-sorptive creep in pulp fibres and paper. Wood Sci Technol 48:569–580

    Article  CAS  Google Scholar 

  • Park BD, Balatinez JJ (1998) Short term flexural creep behavior of wood–fiber/polypropylene composites. Polym Compos 19(4):377–382

    Article  CAS  Google Scholar 

  • Sakurai N (1991) Cell wall functions in growth and development—a physical and chemical point of view. Bot Mag Tokyo 104:235–251

    Article  Google Scholar 

  • Schiffmann KI (2006) Nanoindentation creep and stress and relaxation tests of polycarbonate: analysis of viscoelastic properties by different rheological models. Int J Mater Res 97(9):1199–1211

    Article  CAS  Google Scholar 

  • Schniewind AP, Barrett JD (1972) Wood as a linear orthotropic viscoelastic material. Wood Sci Technol 6:43–57

    Article  Google Scholar 

  • Shao Z (2002) Application of variation coefficients Maxwell body to fit the creep of MDF. China Wood Industry 16(3):9–11

    Google Scholar 

  • Shao Z (2003) The study on variable coefficients rheological model of wood. Scientia Silvae Sinicae 39(3):106–110

    Google Scholar 

  • Shao Z (2005) The variable parameter rheological model of wood. Wood Sci Technol 39:19–26

    Article  CAS  Google Scholar 

  • Uesaka T, Murakami K, Imamura R (1980) Two-dimensional linear viscoelasticity of paper. Wood Sci Technol 14:131–142

    Article  Google Scholar 

  • Wang P (1987a) The rheological behaviour of poplar wood in compression perpendicular to grain I. Viscoelasticity. Scientia Silvae Sinicae 23(2):182–184

    Google Scholar 

  • Wang P (1987b) The rheological behaviour of poplar wood in compression perpendicular to grain II. Plasticity. Scientia Silvae Sinicae 23(3):356–362

    Google Scholar 

  • Wilding MA, Ward IM (1981) Creep and recovery of ultra high modulus polyethylene. Polymer 22:870–876

    Article  CAS  Google Scholar 

  • Yakushev PN, Peschanskaya NN (1975) Creep rate variability in gel–spun polyethylene. Polym Eng Sci 15(3):1286–1293

    Google Scholar 

Download references

Acknowledgments

The study was supported by National Natural Science Foundation of China (No. 11008250).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhuoping Shao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gao, H., Wang, F. & Shao, Z. Study on the rheological model of Xuan paper. Wood Sci Technol 50, 427–440 (2016). https://doi.org/10.1007/s00226-015-0781-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00226-015-0781-1

Keywords

Navigation