On a contact problem for a homogeneous plane with a finite crack under friction

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An exact solution to the contact problem of indentation of an absolutely rigid punch with a straight base, taking into account friction, into one of the edges of a finite crack located in a homogeneous elastic plane was derived. It is assumed that shear contact stresses are directly proportional to normal contact pressure. In this case, it is assumed that the friction coefficient is directly proportional to the coordinates of the contacting points of the contacting surfaces. The governing system of equations for the problem was derived in the form of the heterogeneous Riemann problem for two functions with variable coefficients and its closed solution is constructed in quadratures. Simple formulas for contact stresses and the normal dislocation component of displacements of crack edge points were obtained. The patterns of changes in contact stresses and crack opening depending on the maximum value of the friction coefficient have been studied.

作者简介

V. Hakobyan

Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia

编辑信件的主要联系方式.
Email: vhakobyan@sci.am
亚美尼亚, Yerevan

H. Amirjanyan

Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia

Email: amirjanyan@gmail.com
亚美尼亚, Yerevan

L. Hakobyan

Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia

Email: lhakobyan@gmail.com
亚美尼亚, Yerevan

参考

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