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Method of potentials in three-dimensional static and dynamical problems of the theory of cracks

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Abstract

By the method of potentials, three-dimensional static and dynamical problems of the theory of elasticity for an infinite body with arbitrarily located cracks are reduced to boundary integral equations. We obtain regular representations of these equations and their discrete analogs in the form of systems of linear algebraic equations. In the case of two disk-shaped coplanar cracks subjected to the action of dynamical forces (described by the Heaviside function), we construct time dependences of the stress intensity factors.

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Authors
  1. H. S. Kit
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  2. V. V. Mykhas'kiv
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  3. M. V. Khai
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Additional information

Pidstryhach Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 32, No. 1, pp. 22–32, January–February, 1996.

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Kit, H.S., Mykhas'kiv, V.V. & Khai, M.V. Method of potentials in three-dimensional static and dynamical problems of the theory of cracks. Mater Sci 32, 14–24 (1996). https://doi.org/10.1007/BF02538921

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  • DOI: https://doi.org/10.1007/BF02538921

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