Contact Problem for an Anisotropic Half Plane with Cracks

Contact Problem for an Anisotropic Half Plane with Cracks

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 equation...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-07, Vol.240 (2), p.173-183
Hauptverfasser: Maksymovych, O. V., Lavrenchuk, S. V., Solyar, T. Ya
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Contact stresses
Cracks
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Stress intensity factors
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creator Maksymovych, O. V.
Lavrenchuk, S. V.
Solyar, T. Ya
description 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.
doi_str_mv 10.1007/s10958-019-04345-3
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subjects Anisotropy
Contact stresses
Cracks
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Stress intensity factors
title Contact Problem for an Anisotropic Half Plane with Cracks
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