Hygro-coupled viscoelastic viscoplastic material model of paper

Tristan Seidlhofer, Ulrich Hirn, Stephan Teichtmeister, Manfred Hannes Ulz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Paper is a versatile material, which is known of being very sensitive to moisture changes that make the mechanical behavior hard to predict. To close this gap, we propose a mechanical model that captures the transient behavior during the interaction with water. Since the diffusion of water within the paper network happens on a similar time scale as the mechanical relaxation phenomena, a fully coupled theory is motivated. Furthermore, the absorbed water induces a large increase in volume which motivates the application of finite strain theory. The model is derived in a thermodynamically consistent manner and its parameters are estimated with experiments available in the literature. The model shows a good agreement applied to paper curl experiments and provides further insights into complex multi-physics problems.

Original languageEnglish
Article number104743
JournalJournal of the Mechanics and Physics of Solids
Publication statusPublished - Mar 2022


  • Diffusion
  • Finite deformation
  • Logarithmic strains
  • Paper curl
  • Paper mechanics
  • Viscoelasticity
  • Viscoplasticity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fields of Expertise

  • Advanced Materials Science

Cite this