Self-affine crack pattern in filter paper sheets

C. A. Mora Santos, M. D.R. Rivera Martínez, O. Susarrey Huerta, A. Balankin, M. A. Mendoza Núñez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this work the self-affine crack pattern in Filter Paper sheets is studied. This paper has a well-defined anisotropy of mechanical properties associated with visible preferable orientation of fibers in the machine direction. Fracture behavior is in essence brittle, the rupture lines have self-affine invariance, and the stresses ahead of the straight notch follow a power-law behavior. The roughness exponent value is of H = 0.50 ±0.01, different from the suggested universal value H = 0.8. The classical theory has demonstrated that, in materials such as metal, there is a relationship between the size and the starting crack stress, which does not happen in this material. The tests show that the starting crack stress from stress-strain behavior curves remains stable for the different specimen sizes λw and crack length size. Moreover, different types of geometric groove, circular and linear, and without a crack, were tested and show almost the same behavior.

Original languageEnglish
Title of host publicationFracture Mechanics
PublisherTrans Tech Publications Ltd
Pages23-28
Number of pages6
ISBN (Print)9780878492534
DOIs
StatePublished - 2010

Publication series

NameKey Engineering Materials
Volume449
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Keywords

  • Fractal
  • Fracture
  • Self-affine crack

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