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

Name: Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
Author: Erbay, Hüsnü Ata, Şengül, Yasemin

İsim	Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
Yazar	Erbay, Hüsnü Ata, Şengül, Yasemin
Basım Tarihi:	2015-12
Basım Yeri	- Elsevier
Konu	Traveling waves, Viscoelasticity, Strain-limiting model, Implicit constitutive theory
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0020-7462
Kayıt Numarası	32eef6ae-e037-4b93-81cc-58ca6dceb7e5
Lokasyon	Natural and Mathematical Sciences
Tarih	2015-12
Örnek Metin	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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Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity

Yazar Erbay, Hüsnü Ata, Şengül, Yasemin

Basım Tarihi 2015-12

Basım Yeri - Elsevier

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

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0020-7462

Kayıt Numarası 32eef6ae-e037-4b93-81cc-58ca6dceb7e5

Lokasyon Natural and Mathematical Sciences

Tarih 2015-12

Örnek Metin 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