A variational approach to frame-indifferent quasistatic viscoelasticity of rate type

Sengul, Yasemin 2024. A variational approach to frame-indifferent quasistatic viscoelasticity of rate type. Philosophical Transactions of the Royal Society of London Series A: Mathematical and Physical Sciences 382 (2277) , 20230307. 10.1098/rsta.2023.0307

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Abstract

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.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Publisher:	Royal Society of London
ISSN:	0080-4614
Date of First Compliant Deposit:	7 June 2024
Date of Acceptance:	4 June 2024
Last Modified:	17 Jul 2024 08:32
URI:	https://orca.cardiff.ac.uk/id/eprint/169593

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