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首页> 外文期刊>International Journal of Solids and Structures >Deformation behaviour of paper and board subjected to moisture diffusion
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Deformation behaviour of paper and board subjected to moisture diffusion

机译：水分扩散引起的纸和纸板的变形行为

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摘要

This paper presents a method to predict the through-thickness moisture content distribution and asso_ciated induced deformations of paper and cardboard sheets as they are subjected to relative humidity changes. The transient moisture diffusion problem is solved using a "natural" analytic approach that has previously been applied for solving transient heat conduction in multi-layer solids. The deformation behaviour of the sheet during the moisture diffusion process is predicted using a semi-analytical approach based on a Rayleigh-Ritz minimization of the total potential energy. Geometrically nonlinear effects are taken into account. Curvatures of the originally flat sheet are predicted as a function of time, as are the shapes of the sheet for steady-state condition. As multiple solutions exist, stability is studied. The developed model was used to study the deformation behaviour of one paper and two cardboard sheets. Comparisons with finite-element results demonstrate that the developed model provides accurate results. The displacements obtained for steady-state conditions are within +6%. Comparisons with previ_ous steady-state analyses reveal important differences in the shape of one cardboard sheet. This suggests that the moisture diffusion process may influence the configuration assumed by the sheet at steady-state equilibrium. Hence, it may be necessary to take the moisture diffusion into account in the analysis to accurately predict the hygro-mechanical behaviour of paper or cardboard sheets.
机译：本文提出了一种预测纸和纸板在相对湿度变化时整个厚度的水分含量分布和相关的诱发变形的方法。瞬态水分扩散问题是使用“自然”分析方法解决的，该方法先前已用于解决多层固体中的瞬态热传导。使用基于总势能最小化的瑞利-里兹最小化的半分析方法，可以预测水分扩散过程中片材的变形行为。考虑了几何非线性效应。预测原始平板的曲率是时间的函数，稳态条件下的板的形状也是时间的函数。由于存在多个解，因此研究了稳定性。所开发的模型用于研究一张纸和两张纸板的变形行为。与有限元结果的比较表明，开发的模型可提供准确的结果。稳态条件下获得的位移在+ 6％以内。通过与以前的稳态分析进行比较，可以发现一张纸板的形状存在重要差异。这表明水分扩散过程可能会影响稳定状态下板材的构型。因此，可能有必要在分析中考虑水分扩散，以准确预测纸或纸板的湿力学行为。

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