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Micromechanics Models for Predicting the Elastic and Strength Behavior of Paper Materials

  • Richard W. Perkins (a1)


This paper presents a review of micromechanics models that have been used to predict the elastic and strength behavior of paper materials. The models discussed are based on a fiber network model that takes into account the properties of the fibers and the properties of the fiber-to-fiber bond.

Elastic models are described for a range of paper density and basis weight ranging from tissue papers to paperboard materials. The effects of fiber curl for low density systems is discussed. Models for predicting both the initial modulus of the paper and the nonlinear elastic behavior for small finite strains is presented. Differences between tensile and compressive straining regimes are addressed.

Limit load theory is discussed for predicting the strength of the network. Damage mechanics theory is employed to take into account hypothesized processes of fiber fracture and bond delaminations, and to relate the inelastic network micromechanics to the prediction of the strength of the material.



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1. Perkins, R. W. and Ramasubramanian, M. K., in Mechanics of Cellulosic and Polymeric Materials. edited by Perkins, R. W. (AMD Vol 99, MD Vol 14 The American Society of Mechanical Engineers, 1989).
2. Halpin, J. C. and Pagano, N. J., J. Composite Materials, 3, 720, (1969).
3. Perkins, R. W., The Micromechanics of Nonwoven Fiber Materials. (Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, New York, 1989).
4. Mardia, K., Statistics of Directional Data (Academic Press, 1972).
5. Hastings, B. and Peacock, J., Statistical Distributions. (John Wiley, 1975).
6. Komori, T. and Makishima, K., Textile Research J., 47. 13, (1977).
7. Mark, R. E., in Handbook of Physical and Mechanical Testing of Paper and Paperboard edited by Mark, R. E., (Marcel Dekker, New York, 1983).
8. Sinha, S. K., M.S. thesis, Syracuse University, 1990.
9. McLaughlin, P. V. and Batterman, S. C., Int. J. Solids Structures, 6, 1357, (1970).

Micromechanics Models for Predicting the Elastic and Strength Behavior of Paper Materials

  • Richard W. Perkins (a1)


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