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Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity

Title	Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
Author	Erbay, Hüsnü Ata, Şengül, Yasemin
Publication Date:	2015-12
Publication Place	- Elsevier
Subject	Traveling waves, Viscoelasticity, Strain-limiting model, Implicit constitutive theory
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	0020-7462
Record ID	32eef6ae-e037-4b93-81cc-58ca6dceb7e5
Library Location	Natural and Mathematical Sciences
Date	2015-12
Sample Text	In this paper we investigate traveling wave solutions of a non-linear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of such models known as the strain-limiting models introduced by Rajagopal. To describe the response of viscoelastic solids we assume a non-linear relationship among the linearized strain, the strain rate and the Cauchy stress. We then concentrate on traveling wave solutions that correspond to the heteroclinic connections between the two constant states. We establish conditions for the existence of such solutions, and find those solutions, explicitly, implicitly or numerically, for various forms of the non-linear constitutive relation.
DOI	10.1016/j.ijnonlinmec.2015.07.005
Cilt	77

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Özyeğin University

Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity

Author Erbay, Hüsnü Ata, Şengül, Yasemin

Publication Date 2015-12

Publication Place - Elsevier

Subject Traveling waves, Viscoelasticity, Strain-limiting model, Implicit constitutive theory

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 0020-7462

Record ID 32eef6ae-e037-4b93-81cc-58ca6dceb7e5

Library Location Natural and Mathematical Sciences

Date 2015-12

Sample Text In this paper we investigate traveling wave solutions of a non-linear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of such models known as the strain-limiting models introduced by Rajagopal. To describe the response of viscoelastic solids we assume a non-linear relationship among the linearized strain, the strain rate and the Cauchy stress. We then concentrate on traveling wave solutions that correspond to the heteroclinic connections between the two constant states. We establish conditions for the existence of such solutions, and find those solutions, explicitly, implicitly or numerically, for various forms of the non-linear constitutive relation.

DOI 10.1016/j.ijnonlinmec.2015.07.005

Cilt 77