Abstract One of the main problems of fracture mechanics is to describe the behavior of media with cracks. At the same time, more and more attention is paid to the study of large systems, including periodic structures. For several cracks, the coefficient of influence is considered to be an important parameter. It is the ratio of the stress intensity factor calculated in the problem of a system of cracks to the stress intensity factor for a single crack under the same load. The paper proposes a method that allows to accurately determine the coefficients of influence for large systems of cracks, including the case of periodic structures, in which the number of cracks is infinite. The method is based on a numerical algorithm developed by the authors that uses the method of discontinuous displacements of a high order of accuracy and an asymptotic representation of stress fields at the crack tip (M. Williams). To verify the method, the results of the implemented algorithm are compared with known analytical solutions both for single cracks and for an infinite doubly periodic system of cracks.

    Highlights The suggested method makes it possible developing stresses in fractures interactions. The method allows calculating infinite systems of cracks. Numerically developed stress intensity factors are in good agreement with analytical solutions. The interaction of periodic systems of cracks in space located in non-parallel planes was investigated.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Boundary element method for investigating large systems of cracks using the Williams asymptotic series


    Contributors:

    Published in:

    Acta Astronautica ; 194 ; 480-487


    Publication date :

    2021-11-19


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English