Elasto-plasticity of paper

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....

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Bibliographic Details
Published in:International journal of plasticity 2003-01, Vol.19 (12), p.2083-2098
Main Authors: Castro, Jaime, Ostoja-Starzewski, Martin
Format: Article
Language:English
Subjects:
Elasto-plasticity
Nonlinear elasticity
Thermomechanics
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Summary: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.
ISSN:0749-6419
1879-2154
DOI:10.1016/S0749-6419(03)00060-3