Journal article
Well-posedness of viscoelastic contact problems with modified Signorini, Tresca-friction, and Clarke-subdifferential type contact conditions incorporating both velocity and displacement
Applied mathematics & optimization, Vol.93(1), 4
02/01/2026
DOI: 10.1007/s00245-025-10356-1
Abstract
We propose three modified contact boundary conditions incorporating both the velocity and the displacement with a parameter
for the viscoelastic problem. As
approaches 0, these conditions formally reduce to the conventional Signorini, Tresca-friction, and Clarke-subdifferential type boundary conditions, respectively. Consequently, the modified conditions, as a generalization of the conventional ones, can be viewed as contact conditions in the displacement with a dynamic setting. We derive weak formulations for the viscoelastic contact model under three modified contact conditions and explore their well-posedness. Additionally, we provide bounds on the weak solutions with respect to the parameter
.
Details
- Title: Subtitle
- Well-posedness of viscoelastic contact problems with modified Signorini, Tresca-friction, and Clarke-subdifferential type contact conditions incorporating both velocity and displacement
- Creators
- Chang Wang - University of Electronic Science and Technology of ChinaYi-Bin Xiao - University of Electronic Science and Technology of ChinaGuanyu Zhou - University of Electronic Science and Technology of ChinaWeimin Han - University of IowaYichen Ren - University of Electronic Science and Technology of China
- Resource Type
- Journal article
- Publication Details
- Applied mathematics & optimization, Vol.93(1), 4
- DOI
- 10.1007/s00245-025-10356-1
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- Publisher
- Springer US
- Grant note
- 12171070 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809)
- Language
- English
- Electronic publication date
- 11/21/2025
- Date published
- 02/01/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985033760102771
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