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Closed-form solutions of hole distortion for use in deep-hole drilling measurements of residual stress in orthotropic plates

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)77-82
Number of pages6
JournalJournal of Strain Analysis for Engineering Design
Issue number2
Early online date9 Nov 2016
DateAccepted/In press - 21 Sep 2016
DateE-pub ahead of print - 9 Nov 2016
DatePublished (current) - 1 Feb 2017


The measurement of residual stress using the deep hole drilling method relies on the evaluation of the distortion of a hole in a plate under the action of far-field direct and shear stresses. While closed form solutions exist for isotropic materials, in previous work for orthotropic materials finite element analysis has been used to find the distortion. In this technical note, Lekhnitskii’s analysis is used to find closed form solutions for the distortion of a circular hole in an orthotropic plate. The results are compared with those of finite element analysis for a range of material properties with excellent agreement.

    Research areas

  • Residual Stress, Composites, Deep-Hole Drilling, Orthotropic Stress Analysis

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    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Sage at Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 848 KB, PDF-document


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