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

Duman, Emre and Sengul, Yasemin 2023. Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory. Advances in Continuous and Discrete Models 2023 (6) 10.1186/s13662-023-03751-x

Preview

PDF - Published Version Available under License Creative Commons Attribution. Download (1MB) | Preview

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
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer
Date of First Compliant Deposit:	22 January 2023
Date of Acceptance:	1 January 2023
Last Modified:	03 May 2023 07:25
URI:	https://orca.cardiff.ac.uk/id/eprint/156168

Actions (repository staff only)

Edit Item