Advertisement

Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Antiplane strain of an elliptical cylinder with a crack

  • 15 Accesses

Abstract

The antiplane strain of an anisotropic elliptical cylinder with a crack is examined. An infinite system of linear algebraic equations is obtained from the boundary conditions on the cylinder surface to determine the constants in the complex potential of the problem. Detailed numerical investigations are performed of the influence of the geometric and elastic characteristics of the cylinder on the magnitude of the stress intensity coefficients near the outer edge.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    S. A. Kaloerov, “Antiplane deformation of multiconnected bodies with cracks,” Izv. Akad. Nauk ArmSSR, Mekhan.,38, No. 6, 11–20 (1985).

  2. 2.

    S. A. Kaloerov, “Two-dimensional problem of elasticity theory for a multiconnected anisotropic body with cracks,” Teoret. Prikl. Mekhan., No. 17, 32–41 (1986).

  3. 3.

    A. S. Kosmodamianskii and S. A. Kaloerov, Temperature Stresses in Multiconnected Plates [in Russian], Vishcha Shkola, Kiev-Donetsk (1983).

  4. 4.

    S. G. Lekhnitskii, Anisotropic Plates [in Russian], Gostekhizdat, Moscow (1957).

Download references

Author information

Additional information

Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 18, pp. 28–34, 1987.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kaloerov, S.A. Antiplane strain of an elliptical cylinder with a crack. J Math Sci 56, 2741–2745 (1991). https://doi.org/10.1007/BF01097442

Download citation

Keywords

  • Boundary Condition
  • Stress Intensity
  • Algebraic Equation
  • Numerical Investigation
  • Outer Edge