Contact Problem for an Anisotropic Half Plane with Cracks


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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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