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APPLICATION OF THE FINITE FRACTURE MECHANICS APPROACH TO ASSESS THE FAILURE OF A QUASI-BRITTLE MATERIAL WITH A CIRCULAR HOLE

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Abstract—

The size effect of the strength of structurally inhomogeneous materials is manifested, in particular, in the dependence of the failure load on the size of the stress concentration zone that occurs near material or geometric inhomogeneities (inclusions, pores, cutouts, fillets). Although the size of the stress concentration zone is determined primarily by the size and shape of the inhomogeneity, the loading conditions also have a certain effect. In addition, the predictive value of the fracture theory is determined not only by the ability to take into account the size effect, but also by the possibility of extending the theory to the widest possible range of boundary conditions. The influence of boundary conditions and hole diameter on the initiation of tensile cracks at a circular hole in a quasi-brittle geomaterial under non-uniformly distributed compression was studied theoretically and experimentally, taking into account the scale factor. On the basis of the approach of the finite fracture mechanics, a criterion of quasi-brittle fracture is proposed. The results of calculating the critical stress are compared with the obtained experimental data.

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ACKNOWLEDGMENTS

The author is grateful to A.I. Rukavishnikov and N.V. Popov for their help in sample preparation and testing.

Funding

This work was financially supported by the Russian Foundation for Basic Research (project no. 18-05-00323).

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Authors and Affiliations

  1. Chersky Institute of Mining of the North of the Siberian Branch of the Russian Academy of Sciences, 677980, Yakutsk, Russia

    S. V. Suknev

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  1. S. V. Suknev
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Correspondence to S. V. Suknev.

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Translated by M. Katuev

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Suknev, S.V. APPLICATION OF THE FINITE FRACTURE MECHANICS APPROACH TO ASSESS THE FAILURE OF A QUASI-BRITTLE MATERIAL WITH A CIRCULAR HOLE. Mech. Solids 56, 301–311 (2021). https://doi.org/10.3103/S0025654421030110

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