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Antiplane strain of an elliptical cylinder with a crack

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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.

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Literature cited

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

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

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

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

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

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Kaloerov, S.A. Antiplane strain of an elliptical cylinder with a crack. J Math Sci 56, 2741–2745 (1991).

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