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Interaction of parallel cracks across the interface of materials

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Abstract

We reduce a three-dimensional problem of the theory of elasticity about the interaction of cracks in a body to the solution of a system of boundary integral equations for functions that characterize mutual displacements of the opposite surfaces of the cracks in the process of deformation of the body. For the case of parallel cracks, the regular kernels of these equations taking into account the interaction of cracks across the interface of materials are presented in the explicit form. The deduced boundary integral equations are solved by using a numerical-analytic approach. For two disk-shaped parallel cracks in different materials loaded by normal forces, we obtain the dependences of the stress intensity factors on the ratio of elastic constants of the components of the body for various distances from the crack to the interface of materials.

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References

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Authors
  1. M. V. Khai
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  2. O. I. Stepanyuk
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Additional information

State University “L'viv'ska Politekhnika,” L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 35, No. 2, pp. 12–20, March–April, 1999.

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Khai, M.V., Stepanyuk, O.I. Interaction of parallel cracks across the interface of materials. Mater Sci 35, 157–165 (1999). https://doi.org/10.1007/BF02359975

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  • DOI: https://doi.org/10.1007/BF02359975

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