 | | 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 |
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| Total articles in the database: | | 12854 |
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| In English (Mech. Solids): | | 4810 |
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| S.M. Mkhitaryan, A.L. Shekyan, and L.A. Shekyan, "Indentation of a Round Punch into a Rough Elastic Half-Space," Mech. Solids. 44 (5), 729-736 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
5 |
Pages |
729-736 |
| DOI |
10.3103/S0025654409050094 |
| Title |
Indentation of a Round Punch into a Rough Elastic Half-Space |
| Author(s) |
S.M. Mkhitaryan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, 24b Marshal Baghramian ave., Erevan, 0019, Republic of Armenia, Lilit_Dashtoyan@mechins.sci.am)
A.L. Shekyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave. 24b, Yerevan, 0019, Republic of Armenia, MrTiko@mail.ru)
L.A. Shekyan (State Engineering University of Armenia, Teryan 105, Yerevan, 0009, Republic of Armenia, MrTiko@mail.ru) |
| Abstract |
We consider the axisymmetric contact problem on the indentation of a round punch with plane base into an elastic half-space. Roughness is taken into account in the framework of the well-known model in which the local surface displacements are proportional to some power of the contact pressures at the same point. To study the problem, we use the theory of nonlinear integral equations of Hammerstein type together with the mathematical technique of orthogonal Legendre polynomials and the contraction mapping principle. We obtain an approximate analytic solution of the problem, numerically analyze the results, and reveal typical laws of variation of the main mechanical variables. |
| Keywords |
contact problem, punch, integral equation, roughness |
| References |
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|
| Received |
24 September 2007 |
| Link to Fulltext |
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