Journal of Shanghai Jiaotong University (Science)

, Volume 23, Issue 1, pp 182–189 | Cite as

Non-Linearity of the Mirror Constant for Glasses Fractured in Flexure

  • Lingyue Ma (马凌越)
  • Roberto Dugnani
  • Anthony Moulins


Fractography relies on topographic features on the fracture surfaces to deduce the stress state of the failed component. Traditionally, fractographers assumed that the fracture strength of brittle materials was related to the reciprocal of the square root of the mirror radius linearly, in accordance with the empirical equation formally postulated by Orr in 1972. In this manuscript a novel analytical model to describe the dynamic behavior of elliptical cracks was derived on the basis of thermodynamic principles. Unlike Orr’s equation, the proposed model considered the effects of the plate thickness and it could be used to improve the strength prediction based on the plate’s geometry and material properties. To verify the validity of the model, 39 annealed, 2mm thick, soda-lime silicate glass plates were fractured by four-points bending test and the fracture surfaces were imaged by confocal laser microscope and carefully studied. Excellent agreement was observed between the experimental data and the proposed theoretical framework.

Key words

fractography flexural strength brittle soda-lime silicate glass mirror constant 

CLC number

O 346.1 


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The authors would like to extend their gratitude to Pei Bai from University of Michigan - Shanghai Jiao Tong University Joint Institute for helping with glass annealing.


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Copyright information

© Shanghai Jiaotong University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Lingyue Ma (马凌越)
    • 1
  • Roberto Dugnani
    • 1
  • Anthony Moulins
    • 2
  1. 1.University of Michigan - Shanghai Jiao Tong University Joint InstituteShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Ecole de Technologie SupérieureMontrealCanada

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