| Autor: |
Şengül Y; School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK. |
| Jazyk: |
angličtina |
| Zdroj: |
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences [Philos Trans A Math Phys Eng Sci] 2024 Aug 23; Vol. 382 (2277), pp. 20230307. Date of Electronic Publication: 2024 Jul 15. |
| DOI: |
10.1098/rsta.2023.0307 |
| Abstrakt: |
The three-dimensional dynamical model for nonlinear viscoelasticity of strain-rate type is investigated in a quasistatic setting under the assumption of higher-order regularity of the deformation, which in the literature is referred to as the case of non-simple materials. The existence of weak solutions is proven using a time-discretization technique while respecting the condition of dynamical frame indifference. Some observations on frame indifference for strain-rate-type stresses are made, and corrections are proposed for some related work in the literature. Finally, a counterexample is given to show that the assumed higher-order regularity is necessary in order to obtain the required compactness.This article is part of the theme issue 'Non-smooth variational problems with applications in mechanics'. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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