The compressive response of a stratified fibrous structure

A model for the compressive response of an oriented fiber structure such as paper is derived in this work. The model provides a semi-quantitative description of the stress/strain behavior of a fiber structure. The model accounts for the deformation of fibers during compression, their finite fiber le...

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Bibliographic Details
Published in:Mechanics of materials 2005-11, Vol.37 (11), p.1132-1142
Main Authors: Pawlak, Joel J., Keller, D. Steven
Format: Article
Language:English
Subjects:
Compression model
Compressive modulus
Exact sciences and technology
Fiber orientation
Finite fiber length
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Tangent modulus
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Summary:A model for the compressive response of an oriented fiber structure such as paper is derived in this work. The model provides a semi-quantitative description of the stress/strain behavior of a fiber structure. The model accounts for the deformation of fibers during compression, their finite fiber length, their elastic modulus, and their moment of inertia. Using a previously describe micro-indentation technique, the predicted impact of variables used in the model on the compressive response of paper is verified. Results consistent with the model are found including a strong dependence of the tangent modulus on apparent density of the sheet, and a relative insensitivity of the tangent modulus to fiber length. The three stage behavior of the paper compression described by Rodal [Soft-nip calendering of paper and paperboard. Tappi Journal 72 (5), 177–186] was also accounted for in the model.
ISSN:0167-6636
1872-7743
DOI:10.1016/j.mechmat.2004.12.002