Modeling of stress relaxation and elastic recovery of wet paper

Jarmo Kouko, Joonas Sorvari, Elias Retulainen

Research output: Chapter in Book/Report/Conference proceedingConference abstract in proceedingsScientific


Understanding and control of the viscoelastic behavior of paper web is important for the runnability of modern paper machines and for the success of converting processes that contain finite deformations at a high strain rate. It is well known that tension in a wet and dry paper web is non-linearly proportional to strain, and depends on the strain rate. Strain in paper is not completely recovered after the tensile load is removed, part of the recovery is timedependent and part is non-recoverable [1]. A relaxation phase in the stressstrain cycle makes the behavior more complex and challenging. The objective of this study was to model the rheological, time-dependent stress-strain cycle that includes a relaxation, de-loading and an elastic recovery phase. The modeling was based on experimental data that was produced for softwood and hardwood kraft pulps at different strain rates.
Original languageEnglish
Title of host publicationProgress in Paper Physics Seminar 2016
Subtitle of host publicationConference proceedings
Publication statusPublished - 2016
EventProgress in Paper Physics Seminar, PPPS 2016 - Darmstadt, Germany
Duration: 22 Aug 201626 Aug 2016


ConferenceProgress in Paper Physics Seminar, PPPS 2016
Abbreviated titlePPPS 2016


  • modeling
  • prony
  • stress relaxation
  • stress-strain,
  • schapery
  • viscoelastic
  • wet paper

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