The effect of the through-thickness moisture content gradient on the moisture accelerated creep of paperboard: Hygro-viscoelastic modeling approach

Author:

Sorvari Joonas1,Leppänen Teemu2,Silvennoinen Jukka3

Affiliation:

1. Centre of Computational Engineering and Integrated Design (CEID) , Lappeenranta University of Technology , PO Box 20 , FI-53851 Lappeenranta , Finland

2. LUT Savo Sustainable Technologies , Lappeenranta University of Technology , Varkaus unit, Opiskelijankatu 3 , FI-78210 Varkaus , Finland

3. Savon Sellu Ltd. , PO Box 57 , FI-70101 Kuopio , Finland

Abstract

Abstract Paper-based materials are viscous materials, the time-dependent behavior of which depends strongly on moisture content. Particularly the creep of paperboard containers under compressive forces is greatly affected by changes in the relative humidity. In the present paper, we examine the creep behavior of paperboard under cyclic humidity conditions using the finite element method. Especially the shape and rate of the through-thickness moisture content gradient on moisture accelerated creep are studied. An isotropic hygro-viscoelastic constitutive law is used for paperboard. The results of the simulations are compared with experiments. It is concluded that the through-thickness moisture gradients have a great impact on the moisture accelerated creep of paperboard. Furthermore, the results show that depending on the direction of external load the through-thickness moisture content gradient may increase or decrease creep rate.

Publisher

Walter de Gruyter GmbH

Subject

General Materials Science,Forestry

Reference23 articles.

1. Abaqus (2013) Documentation, Dassault Systemes. Providence, RI, USA.

2. Alfthan, J. (2004) The effect of humidity cycle amplitude on accelerated tensile creep of paper. Mech. Time-Depend. Mater. 8:289–302.10.1007/s11043-004-0536-0

3. Alfthan, J., Gudmundson, P., Östlund, S. (2002) A micro-mechanical model for mechano-sorptive creep in paper. J. Pulp Pap. Sci. 28:98–104.

4. Baum, G.A., Brennan, D.C., Habeger, C.C. (1981) Orthotropic elastic constants of paper. Tappi J. 64:97–101.

5. Bosco, E., Peerlings, R.H.J., Lomans, B.A.G., van der Sman, C.G., Geers, M.G.D. (2017) On the role of moisture in triggering out-of-plane displacement in paper: from the network level to the macroscopic scale. Int. J. Solids Struct. 10.1016/j.ijsolstr.2017.04.005.

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