Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory

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Duman, Emre and Şengül, Yasemin (2023) Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory. Advances in Continuous and Discrete Models, 2023 (1). ISSN 2731-4235

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Abstract

The main objective of this work is two-fold. First, we investigate the stress-rate-type implicit constitutive relations for solids within the context of strain-limiting theory of material response. The relations we study are models for generalisations of elastic bodies whose strain depends on the stress and the stress rate. Secondly, we obtain travelling-wave solutions for some special cases that are nonlinear in the stress. These are the first notion of solutions available in the literature for this type of models describing stress-rate-type materials.
Item Type: Article
Uncontrolled Keywords: Implicit constitutive relation; Strain-limiting theory; Stress-rate-type models
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Emre Duman
Date Deposited: 17 Apr 2023 11:57
Last Modified: 17 Apr 2023 11:57
URI: https://research.sabanciuniv.edu/id/eprint/45382

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