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    Author(s): E.P. Saliklis; T. J. Urbanik; B. Tokyay
    Date: 2003
    Source: Journal of pulp and paper science. Vol. 29, no. 12 (Dec. 2003): Pages 407-411
    Publication Series: Miscellaneous Publication
    PDF: View PDF  (161 KB)

    Description

    The proposed method of modelling orthotropic solids that have a nonlinear constitutive material relationship affords several advantages. The first advantage is the application of a simple bilinear stress-strain curve to represent the material response on two orthogonal axes as well as in shear, even for markedly nonlinear materials. The second advantage is that this method correlates yield strengths in the orthogonal directions, which is necessitated by some finite-element programs. Herein, we provide an algorithm for fitting bilinear stress versus strain curves to data, such that the derived stress-strain law on each orthogonal axis is coupled by means of a common strain energy density function. Nonlinear stress-strain data for paper and paperboard illustrate the procedure. This method can be readily implemented in finite element applications.

    Publication Notes

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    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.

    Citation

    Saliklis, E.P.; Urbanik, T. J.; Tokyay, B. 2003. Bilinear modelling of cellulosic orthotropic nonlinear materials. Journal of pulp and paper science. Vol. 29, no. 12 (Dec. 2003): Pages 407-411

    Keywords

    Stress strain properties, paper, paperboards, mathematical models, algorithms, data

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