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Statistical procedure for improving the precision of the measurement of the essential work of fracture of thin sheets

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Abstract

The precision of the measurement of the essential work of fracture requires an accurate determination of the critical ligament length below which the ligament is in a mixed mode stress state and the failure mechanisms considerably change. A statistical procedure is proposed which allows to determine easily and accurately this critical ligament length. After rejection of the specimens having too small ligament lengths, we is obtained by extrapolation of the remaining data for zero ligament length. The number of data points from which we is calculated is also shown to strongly influence the precision of the measurement. The procedure is applied to the measurement of the toughness of sheets of Al and Zn alloys and of a low density polyethylene.

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Authors and Affiliations

  1. Départment des Sciences des Matériaux et des Procédés, PCIM, Université Catholique de Louvain, 2 Place Sainte Barbe, 1348, Louvain-La-Neuve, Belgium

    Yves Marchal, Francis Delannay & Francis Delannay

  2. Institut de Statistique, STAT, Université Catholique de Louvain, 20 Voie du Roman Pays, 1348, Louvain-la-Neuve, Belgium

    Jean-François Walhin

Authors
  1. Yves Marchal
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  2. Jean-François Walhin
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  3. Francis Delannay
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Marchal, Y., Walhin, JF. & Delannay, F. Statistical procedure for improving the precision of the measurement of the essential work of fracture of thin sheets. International Journal of Fracture 87, 189–199 (1997). https://doi.org/10.1023/A:1007482121146

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  • DOI: https://doi.org/10.1023/A:1007482121146

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