 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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| V.N. Hakobyan, A.A. Amirjanyan, and L.V. Hakobyan, "On a Contact Problem for a Homogeneous Plane with a Finite Crack under Friction," Mech. Solids. 59 (2), 711-722 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
711-722 |
| DOI |
10.1134/S0025654423601593 |
| Title |
On a Contact Problem for a Homogeneous Plane with a Finite Crack under Friction |
| Author(s) |
V.N. Hakobyan (Institute of Mechanics of National Academy of Sciences of the Republic of Armenia, Yerevan, 0019 Republic of Armenia, vhakobyan@sci.am)
A.A. Amirjanyan (Institute of Mechanics of National Academy of Sciences of the Republic of Armenia, Yerevan, 0019 Republic of Armenia, amirjanyan@gmail.com)
L.V. Hakobyan (Institute of Mechanics of National Academy of Sciences of the Republic of Armenia, Yerevan, 0019 Republic of Armenia, lhakobyan@gmail.com) |
| Abstract |
An exact solution to the contact problem of indentation of an absolutely rigid stamp with a
straight base, taking into account friction, into one of the edges of a finite crack located in a homogeneous elastic plane is constructed. It is assumed that tangential contact stresses are directly proportional to normal contact pressure. In this case, it is believed that the friction coefficient is directly proportional to the coordinates of the contacting points of the contacting surfaces. The defining system
of equations for the problem is derived in the form of an inhomogeneous Riemann problem for two
functions with variable coefficients and its closed solution in quadratures is constructed. Simple formulas for contact stresses and the normal dislocation component of displacements of crack edge
points are obtained. The patterns of changes in contact stresses and crack opening depending on the
maximum value of the friction coefficient have been studied. |
| Keywords |
contact problem, friction, stamp, crack |
| Received |
28 July 2023 | Revised |
10 October 2023 | Accepted |
11 October 2023 |
| Link to Fulltext |
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