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Fracture mechanics of solids in compression along cracks

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Soviet Applied Mechanics Aims and scope

Conclusions

The following results were obtained in regard to compression of solids along planes containing cracks.

  1. 1.

    For the case of loading examined, we proposed a criterion for the beginning of fracture corresponding to the stability criterion in the three-dimensional linearized theory of stability of deformable bodies.

  2. 2.

    An exact solution of a two-dimensional problem of local loss of stability was obtained for a finite number of plane cracks of constant width, when the cracks are infinite in one direction and located in one plane. This solution was obtained in general form for elastic compressible and incompressible bodies with Tinite and small subcritical strains and elastic-plastic compressible and incompressible bodies with small subcritical strains.

  3. 3.

    It was shown for specific models of isotropic elastic and elastic-plastic bodies that, within the framework of plane strain, loss of stability next to a finite number of plane cracks occurs in the form of surface instability of a half-space and half-plane. It was shown that flexural and symmetrical modes of instability have the same critical load.

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Authors
  1. A. N. Guz'
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhaniak, Vol. 18, No. 3, pp. 34–48, March, 1982.

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Guz', A.N. Fracture mechanics of solids in compression along cracks. Soviet Applied Mechanics 18, 213–224 (1982). https://doi.org/10.1007/BF00893923

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  • DOI: https://doi.org/10.1007/BF00893923

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