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Journal of Materials Science

, Volume 9, Issue 11, pp 1745–1753 | Cite as

Fracture resistance of paper

  • R. S. Seth
  • D. H. Page
Papers

Abstract

An attempt has been made to apply the concepts of fracture mechanics to describe the behaviour of a paper sheet with a crack. Considering paper as an orthotropic homogeneous continuum, the critical strain energy release rate, Gc, for eight different papers has been measured using linear elastic fracture mechanics. Also, a direct measurement of work of fracture, R, has been made for these samples by using the quasi-static crack propagation technique. For both techniques, results independent of specimen dimensions were obtained. Gc and R were found to be experimentally equivalent. The fracture toughness of paper has been compared with that of other engineering materials.

Keywords

Polymer Fracture Toughness Release Rate Direct Measurement Fracture Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

a

Initial crack length (cm)

aij

Elements of compliance matrix ā (cm2 dyn−1)

A

Area of fractured surface (cm2)

b

Specimen width (cm)

E

Young's modulus (dyn cm−2)

E1

Young's modulus in the machine direction (dyn cm−2)

E2

Young's modulus in the cross direction (dyn cm−2)

Eθ

Young's modulus at angle θ to the machine direction (dyn cm−2)

F

Finite-width correction factor

G

Strain energy release rate (erg cm−2)

Gc

Critical strain energy release rate (erg cm−2)

K

Stress intensity factor (dyn cm−3/2)

Kc

Critical stress intensity factor (dyn cm−3/2)

l

Specimen length (cm)

ry

Size of plastic zone (cm)

R

Work of fracture (erg cm−2)

t

Specimen thickness (cm)

U

Strain energy (erg)

θ

Angle in the plane of the sheet measured from the machine direction

ρ

Specimen density (g cm−3)

σc

Gross tensile stress at fracture (dyn cm−2)

σN

Net tensile stress at fracture (dyn cm−2)

σys

Tensile yield stress (dyn cm−2)

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Copyright information

© Chapman and Hall Ltd 1974

Authors and Affiliations

  • R. S. Seth
    • 1
  • D. H. Page
    • 1
  1. 1.Pulp and Paper Research Institute of CanadaPointe ClaireCanada

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