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Original scientific paper
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

Fulltext: english, pdf (196 KB) pages 391-411 downloads: 393* cite
APA 6th Edition
Benaissa, H., Essoufi, E. & 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, no. 2, 2016, pp. 391-411. https://doi.org/10.3336/gm.51.2.08. Accessed 1 Dec. 2021.
Chicago 17th Edition
Benaissa, H., EL-H. Essoufi and R. Fakhar. "Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity." Glasnik matematički 51, no. 2 (2016): 391-411. https://doi.org/10.3336/gm.51.2.08
Harvard
Benaissa, H., Essoufi, E., and Fakhar, R. (2016). 'Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity', Glasnik matematički, 51(2), pp. 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 [cited 2021 December 01];51(2):391-411. https://doi.org/10.3336/gm.51.2.08
IEEE
H. Benaissa, E. Essoufi and R. Fakhar, "Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity", Glasnik matematički, vol.51, no. 2, pp. 391-411, 2016. [Online]. https://doi.org/10.3336/gm.51.2.08

Abstracts
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.

Keywords
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

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