Email this article Contact Problem for an Anisotropic Half Plane with Cracks
- Authors: Maksymovych O.V.1, Lavrenchuk S.V.1, Solyar T.Y.2
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Affiliations:
- Lutsk National Technical University
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 240, No 2 (2019)
- Pages: 173-183
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242732
- DOI: https://doi.org/10.1007/s10958-019-04345-3
- ID: 242732
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Abstract
We propose an approach for the solution of a contact problem for an anisotropic half plane interacting with a plane smooth punch with regard for the contact of the crack faces. The stresses formed near the cracks in the anisotropic half plane are found on the basis of the method of integral equations. The kernels of the equations are constructed to guarantee the identical validity of the conditions imposed on the rectilinear boundary of the half plane, including the area under the punch. The influences of anisotropy and the contact of crack faces on the stress intensity factors are analyzed.
About the authors
O. V. Maksymovych
Lutsk National Technical University
Email: Jade.Santos@springer.com
Ukraine, Lutsk
S. V. Lavrenchuk
Lutsk National Technical University
Email: Jade.Santos@springer.com
Ukraine, Lutsk
T. Ya. Solyar
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
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