On the in-plane elastic constants of paper

Kalman Schulgasser

doi:10.1016/0015-0568(81)90051-8

On the in-plane elastic constants of paper

Kalman Schulgasser

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

It is shown in this paper that the in-plane shear modulus and Poisson's ratio of paper can be predicted with reasonable accuracy if the Young's moduli of the paper in the machine and cross directions are known. The experimentally observed invariance of in-plane shear modulus with respect to sheet orientation is utilised to determine a relationship between the first two coefficients in a Fourier series expansion of the fibre distribution. Using Cox's classic model for paper this permits the sought-after relationships to be determined.

Original language	English
Pages (from-to)	257-270
Number of pages	14
Journal	Fibre Science and Technology
Volume	15
Issue number	4
DOIs	https://doi.org/10.1016/0015-0568(81)90051-8
State	Published - 1 Jan 1981

ASJC Scopus subject areas

General Engineering

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10.1016/0015-0568(81)90051-8

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abstract = "It is shown in this paper that the in-plane shear modulus and Poisson's ratio of paper can be predicted with reasonable accuracy if the Young's moduli of the paper in the machine and cross directions are known. The experimentally observed invariance of in-plane shear modulus with respect to sheet orientation is utilised to determine a relationship between the first two coefficients in a Fourier series expansion of the fibre distribution. Using Cox's classic model for paper this permits the sought-after relationships to be determined.",

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N2 - It is shown in this paper that the in-plane shear modulus and Poisson's ratio of paper can be predicted with reasonable accuracy if the Young's moduli of the paper in the machine and cross directions are known. The experimentally observed invariance of in-plane shear modulus with respect to sheet orientation is utilised to determine a relationship between the first two coefficients in a Fourier series expansion of the fibre distribution. Using Cox's classic model for paper this permits the sought-after relationships to be determined.

AB - It is shown in this paper that the in-plane shear modulus and Poisson's ratio of paper can be predicted with reasonable accuracy if the Young's moduli of the paper in the machine and cross directions are known. The experimentally observed invariance of in-plane shear modulus with respect to sheet orientation is utilised to determine a relationship between the first two coefficients in a Fourier series expansion of the fibre distribution. Using Cox's classic model for paper this permits the sought-after relationships to be determined.

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On the in-plane elastic constants of paper

Abstract

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