On the effect of variable coefficient of friction on the horizontal resistance of the stamp
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-15-4-12-16Abstract
Article deal with the contact problems on the surface interaction of rigid stamps with a deformed layered provided that the variable friction coefficients arise in the contact zone as a function of the coordinate under the horizontal motion of stamps. The cause of the variable friction coefficients arising may be surface phenomena induced by a complex rheology of the deformed-medium surface, the chemical reactions proceeding, or a change in the properties of the contact surface of the stamps, for example, as a result of the presence of separate particles of the wear contact surface of the stamp and the base. The influence of the variable friction coefficients on the horizontal existence of the semi-infinite stamp is investigated.
Keywords:
contact problems, integral equations, semi-infinite domain, block element, factorization, variable friction coefficientsAcknowledgement
References
- Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Blochnye elementy v kontaktnykh zadachakh s peremennym koeffitsientom treniya [Block elements in contact problems with variable coefficient of friction]. Doklady Akademii nauk [Rep. of Russian Academy of Sciences], 2018, vol. 480, no. 5, pp. 537–541. (In Russian)
- Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Ob odnoy faktorizatsionnoy zadache Gil'berta–Vinera i metode blochnogo elementa [On one Hilbert–Wiener factorization problem and the block element method]. Doklady Akademii nauk [Rep. of Russian Academy of Sciences], 2014, vol. 459, no. 5, pp. 557–561. (In Russian)
- Goryacheva, I.G., Dobychin, M.N. Kontaktnye zadachi tribologii [Contact problems of tribology]. Mashinostroenie, Moscow, 1988. (In Russian)
- Muskhelishvili, N.I. Singulyarnye integral'nye uravneniya [Singular integral equation]. Nauka, Moscow, 1962. (In Russian)
- Vekua, N.P. Sistemy singulyarnykh integral'nykh uravneniy [Systems of singular integral equations]. Nauka, Moscow, 1970. (In Russian)
- Gakhov, F.D. Kraevye zadachi [Boundary value problems]. Nauka, Moscow, 1977. (In Russian)
- Nobl, B. Metod Vinera–Khopfa [Wiener-Hopf method]. Inostrannaya literatura, Moscow, 1962. (In Russian)
- Litvinchuk, G.S., Spitkovskiy, I.M. Faktorizatsiya matrits-funktsiy [Factorization of matrix functions]. Deposited to VINITI no. 2410-84, part I, 1984; part II, 1984. (In Russian)
- Gokhberg, I.Ts., Kreyn, M.G. Sistemy integral'nykh uravneniy na polupryamoy, s yadrami, zavisyashchie ot raznosti argumentov [Systems of integral equations on a semi-direct, with kernels depending on the difference of arguments]. Uspekhi matematicheskikh nauk [Advances in Mathematical Sciences], 1958, vol. 13, iss. 2, pp. 3–72. (In Russian)
Downloads
Submitted
Published
How to Cite
Copyright (c) 2018 Babeshko V.A., Evdokimova O.V., Babeshko O.M., Eletskiy Yu.B., Lozovoy V.V., Evdokimov V.S., Khripkov D.A.
This work is licensed under a Creative Commons Attribution 4.0 International License.