Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T01:31:25.507Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  16 February 2011

Richard W. Perkins*
Affiliation:
Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, New York 13244
Get access

Abstract

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.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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).Google Scholar
2. Halpin, J. C. and Pagano, N. J., J. Composite Materials, 3, 720, (1969).Google Scholar
3. Perkins, R. W., The Micromechanics of Nonwoven Fiber Materials. (Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, New York, 1989).Google Scholar
4. Mardia, K., Statistics of Directional Data (Academic Press, 1972).Google Scholar
5. Hastings, B. and Peacock, J., Statistical Distributions. (John Wiley, 1975).Google Scholar
6. Komori, T. and Makishima, K., Textile Research J., 47. 13, (1977).Google Scholar
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).Google Scholar
8. Sinha, S. K., M.S. thesis, Syracuse University, 1990.Google Scholar
9. McLaughlin, P. V. and Batterman, S. C., Int. J. Solids Structures, 6, 1357, (1970).Google Scholar