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https://doi.org/10.3336/gm.51.2.08

Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity

H. Benaissa   ORCID icon orcid.org/0000-0002-5035-3838 ; Univ Hassan 1, Laboratory MISI, 26000 Settat, Morocco
EL-H. Essoufi   ORCID icon orcid.org/0000-0003-1563-2871 ; Univ Hassan 1, Laboratory MISI, 26000 Settat, Morocco
R. Fakhar ; Univ Hassan 1, Laboratory LS3M, 25000 Khouribga, Morocco

Puni tekst: engleski, pdf (196 KB) str. 391-411 preuzimanja: 380* citiraj
APA 6th Edition
Benaissa, H., Essoufi, E. i Fakhar, R. (2016). Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity. Glasnik matematički, 51 (2), 391-411. https://doi.org/10.3336/gm.51.2.08
MLA 8th Edition
Benaissa, H., et al. "Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity." Glasnik matematički, vol. 51, br. 2, 2016, str. 391-411. https://doi.org/10.3336/gm.51.2.08. Citirano 28.11.2021.
Chicago 17th Edition
Benaissa, H., EL-H. Essoufi i R. Fakhar. "Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity." Glasnik matematički 51, br. 2 (2016): 391-411. https://doi.org/10.3336/gm.51.2.08
Harvard
Benaissa, H., Essoufi, E., i Fakhar, R. (2016). 'Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity', Glasnik matematički, 51(2), str. 391-411. https://doi.org/10.3336/gm.51.2.08
Vancouver
Benaissa H, Essoufi E, Fakhar R. Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity. Glasnik matematički [Internet]. 2016 [pristupljeno 28.11.2021.];51(2):391-411. https://doi.org/10.3336/gm.51.2.08
IEEE
H. Benaissa, E. Essoufi i R. Fakhar, "Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity", Glasnik matematički, vol.51, br. 2, str. 391-411, 2016. [Online]. https://doi.org/10.3336/gm.51.2.08

Sažetak
We consider a mathematical model which describes the frictional unilateral contact between a thermo-piezoelectric body and a rigid electrically conductive foundation. The thermo-piezoelectric constitutive law is assumed to be nonlinear and the contact is modeled with the Signorini condition, the nonlocal Coulomb friction law with slip dependent friction coefficient and the regularized electrical and thermal conductivity conditions. The variational form of this problem is a coupled system which consists of a nonlinear variational inequality for the displacement field and two nonlinear variational equations for the electric potential and the temperature. The existence of a unique weak solution to the problem is proved by using abstract results for elliptic variational inequalities and fixed point arguments.

Ključne riječi
Static frictional contact; thermopiezoelectric material; Signorini conditions; Coulomb's friction; frictional heat generation; variational inequality; variational analysis; fixed point process

Hrčak ID: 170044

URI
https://hrcak.srce.hr/170044

Posjeta: 608 *