• The Dugdale solution for two unequal straight cracks weakening in an infinite plate

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/sadh/035/01/0019-0029

    • Keywords

       

      Crack arrest; Dugdale model; plastic zone.

    • Abstract

       

      A crack arrest model is proposed for an infinite elastic perfectly-plastic plate weakened by two unequal, quasi-static, collinear straight cracks. The Dugdale model solution is obtained for the above problem when the developed plastic zones are subjected to normal cohesive quadratically varying yield point stress. Employing complex variable technique and the superposition principle the desired solution is obtained. A qualitative study of load required to arrest the plastic zones opening with respect to affecting parameters viz. inter-crack distance, plastic zone and crack length is carried out. The results obtained are presented graphically.

    • Author Affiliations

       

      R R Bhargava1 Shehzad Hasan2

      1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667
      2. Department of Mathematics, Jamia Millia Islamia, New Delhi 110 025
    • Dates

       
  • Sadhana | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.