ISSN 0430-6252. Physicochemical Mechanics of Materials. 2022.
Volume 58, Issue 5

Healing of cracks in a transtropical elastic body during torsion

Keywords

crack healing, strength, anisotropy, torsion.

Cite as

Sylovaniuk V. P., Ivantyshyn N. А., and Filipov M. V. Healing of cracks in a transtropical elastic body during torsion. Physicochemical Mechanics of Materials. 2022. 58(5), 102-106.

Abstract

A mathematical model of crack healing in a transversely isotropic cylinder subjected to torsional deformation has been constructed. The problem is reduced to solving the integral equation with respect to the displacements of the crack surfaces. For the case when the crack is filled in the entire volume, an exact analytical solution of the corresponding integral equation is obtained. The effectiveness of cylinder strengthening depending on the geometric parameters of the crack and the mechanical characteristics of the injection mate­rial after solidification are determined.

References

  1. L. Czarnecki, and P. H. Emmons, Naprava i Ochrona Konstrukcji Betonowych [in Polish], Polski Cement, Krakow (2002).
  2. V. V. Panasyuk., V. I. Marukha, and V. P. Sylovanyuk, Injection Technologies for the Repair of Damaged Concrete Structures, Springer, Dordrecht (2014).
  3. V. P Sylovanyuk, and N. A Ivantyshyn, “Healing of cracks in anisotropic bodies,” Mater. Sci.55, No. 6, 804–811(2020).
  4. H.-Ch. Hu, “On the three-dimensional problems of the theory of elasticity of a transversely isotropic body,” Acta Phys. Sin.9, Is. 2, 130–148 (1953).
  5. E. P. Chen, and G. C Sihm, “Torsional and anti-plane strain delamination of an orthotropic layered composite,” in: Proc. of the 13th Midwestern Mechanics Conf. (Pittsburgh, Pennsylvania, August 13–15, 1973), Pittsburgh (1973), pp. 763–776.
  6. S. G. Lekhintsi,  Anisotropic Plates [in Russian], Gostekhizdat, Moscow (1957).
  7. G. P. Cherepanov, Brittle Fracture Mechanics[in Russian], Nauka, Moscow (1977).
  8. I. H. Sneddon, Mixed Boundary Value Problems in Potential Theory, North Holland Publishing Company, Amsterdam (1986).