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Related Experiment Videos

Calculations on compact disc cracking.

Kaan Kendall1, Kevin Kendall1

  • 1Adelan, Weekin Works, 112 Park Hill Road, Harborne, West Midlands B15 9HD, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 21, 2021
PubMed
Summary

This study overcomes limitations of the Griffith equation for brittle cracking by analyzing Poly Methyl Meth Acrylate (PMMA) discs. Off-axis loading reveals a size effect, where larger discs exhibit lower strength, unlike Griffith

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Area of Science:

  • Materials Science
  • Fracture Mechanics
  • Solid Mechanics

Background:

  • The Griffith equation for brittle fracture has limitations when applied to finite laboratory samples.
  • It typically models central cracks and uniform stress fields, not edge cracks or tensile loading conditions.
  • Laboratory samples differ in size and crack geometry from theoretical models.

Purpose of the Study:

  • To address limitations of the Griffith equation in modeling brittle cracking.
  • To calculate crack behavior in Poly Methyl Meth Acrylate (PMMA) discs under tensile loading using Gregory's solution.
  • To investigate crack behavior under axial and off-axis loading conditions.

Main Methods:

  • Employed Gregory's solution for crack behavior analysis.
Keywords:
Griffith equationcompact disc testcrackingsize effect

Related Experiment Videos

  • Calculated crack behavior in pin-loaded PMMA discs under tension.
  • Compared results from axial and off-axis loading scenarios.

    • Main Results:

    • Axial loading showed strengths comparable to Griffith theory, with force dropping to zero as the crack traversed the disc.
    • Off-axis loading resulted in lower predicted strengths than axial loading.
    • Off-axis loading exhibited a size effect, with strength decreasing as crack length shortened below a critical point (D/10).

    Conclusions:

    • Gregory's solution provides a better model for crack behavior in finite PMMA discs under tensile loading.
    • Off-axis loading introduces a size effect in brittle fracture, not predicted by Griffith theory.
    • The findings offer insights into designing tougher materials and understanding fracture phenomena.