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The numerical solution of boundary-value problems for an elastic body with an elliptic hole and linear cracks

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Abstract

Using the boundary-element method which is a combination of a fictitious load and a displacement discontinuity, numerical solutions are obtained for two-dimensional (plane deformation) boundary-value problems for the elastic equilibrium of infinite and finite homogeneous isotropic bodies having elliptic holes with cracks and cuts of finite length. Using the method of separation of variables, the boundary-value problem is solved in the case of an infinite domain containing an elliptic hole with a linear cut on whose contour the symmetry conditions are fulfilled.

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Authors and Affiliations

  1. I. Vekua Institute of Applied Mathematics, I. Javakhisvili Tbilisi State University, 2 University St., 0186, Tbilisi, Georgia

    N. Zirakashvili

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  1. N. Zirakashvili
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Correspondence to N. Zirakashvili.

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Zirakashvili, N. The numerical solution of boundary-value problems for an elastic body with an elliptic hole and linear cracks. J Eng Math 65, 111–123 (2009). https://doi.org/10.1007/s10665-009-9269-z

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  • DOI: https://doi.org/10.1007/s10665-009-9269-z

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