On the asymptotic behavior of solutions of anisotropic viscoelastic body
| Autor: | Mourad Dilmi, Hamid Benseridi, Yassine Letoufa, Salah Boulaaras |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
QA299.6-433
Algebra and Number Theory Partial differential equation Viscoelastic body Plane (geometry) Computer Science::Information Retrieval Weak solution Quasistatic problem Mathematical analysis Viscoelasticity Anisotropy domain Physics::Fluid Dynamics Condensed Matter::Soft Condensed Matter Asymptotic approach Ordinary differential equation Limit (mathematics) Uniqueness Tresca law Analysis Quasistatic process Mathematics |
| Zdroj: | Boundary Value Problems, Vol 2021, Iss 1, Pp 1-15 (2021) |
| ISSN: | 1687-2770 |
| DOI: | 10.1186/s13661-021-01567-w |
| Popis: | The quasistatic problem of a viscoelastic body in a three-dimensional thin domain with Tresca’s friction law is considered. The viscoelasticity coefficients and data for this system are assumed to vary with respect to the thickness ε. The asymptotic behavior of weak solution, when ε tends to zero, is proved, and the limit solution is identified in a new data system. We show that when the thin layer disappears, its traces form a new contact law between the rigid plane and the viscoelastic body. In which case, a generalized weak form equation is formulated, the uniqueness result for the limit problem is also proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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