 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| I.A. Soldatenkov, "On Using Stieltjes Integral for Calculating of Mechanical Work in Relation to Adhesive Contact," Mech. Solids. 60 (5), 3465-3480 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3465-3480 |
| DOI |
10.1134/S0025654425601685 |
| Title |
On Using Stieltjes Integral for Calculating of Mechanical Work in Relation to Adhesive Contact |
| Author(s) |
I.A. Soldatenkov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, iasoldat@hotmail.com) |
| Abstract |
A procedure for regularization of the Stieltjes integral in the case of a common breaking
point for integrand functions is described. Using this procedure, it is possible to determine the Stieltjes
integral, which represents mechanical work in accordance with the law of conservation of energy. The
physical validity of the obtained results is confirmed by a number of examples. In particular, the regularization procedure makes it possible to calculate the energy dissipated during an instantaneous
change in the state of the elastic suspension. |
| Keywords |
Stieltjes integral, mechanical work, adhesive contact, viscoelasticity |
| Received |
10 April 2025 | Revised |
01 May 2025 | Accepted |
02 May 2025 |
| Link to Fulltext |
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