Elasto-plasticity of paper

Research output: Contribution to journalArticlepeer-review


We develop a constitutive model of paper's in-plane biaxial tensile response accounting for the elastic-plastic hardening behavior, and its orthotropic character. The latter aspect is motivated by machine-made papers, which, in contrast to isotropic laboratory handsheets, are strongly oriented. We focus on modeling paper's response under monotonic loading, this restriction allowing us to treat the elastic-plastic response as a physically nonlinear elastic one. A strain energy function of a hyperbolic tangent form is developed so as to fit the entire range of biaxial and uniaxial experiments on a commercial grade paper. This function may then be introduced as the free energy function into a model based on thermomechanics with internal variables.

Original languageEnglish (US)
Pages (from-to)2083-2098
Number of pages16
JournalInternational journal of plasticity
Issue number12 SPEC ISS.
StatePublished - Dec 2003
Externally publishedYes


  • Elasto-plasticity
  • Nonlinear elasticity
  • Thermomechanics

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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