Dispersive transverse waves for a strain-limiting continuum model

Name: Dispersive transverse waves for a strain-limiting continuum model
Author: Erbay, Hüsnü Ata, Rajagopal, K. R., Saccomandi, G., Şengül, Y.

İsim	Dispersive transverse waves for a strain-limiting continuum model
Yazar	Erbay, Hüsnü Ata, Rajagopal, K. R., Saccomandi, G., Şengül, Y.
Basım Tarihi:	2023-10
Basım Yeri	- Sage
Konu	Dispersive transverse waves, Implicit constitutive theory, Improved Boussinesq equations, Strain-limiting model, Traveling wave solutions
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	1081-2865
Kayıt Numarası	7119ddc6-5526-4235-b333-c44c02109b7a
Lokasyon	Natural and Mathematical Sciences
Tarih	2023-10
Notlar	Istituto Nazionale di Alta Matematica "Francesco Severi" ; Gruppo Nazionale per la Fisica Matematica ; Instituto Nazionale di Fisica Nucleare
Örnek Metin	It is well known that propagation of waves in homogeneous linearized elastic materials of infinite extent is not dispersive. Motivated by the work of Rubin, Rosenau, and Gottlieb, we develop a generalized continuum model for the response of strain-limiting materials that are dispersive. Our approach is based on both a direct inclusion of Rivlin–Ericksen tensors in the constitutive relations and writing the linearized strain in terms of the stress. As a result, we derive two coupled generalized improved Boussinesq-type equations in the stress components for the propagation of pure transverse waves. We investigate the traveling wave solutions of the generalized Boussinesq-type equations and show that the resulting ordinary differential equations form a Hamiltonian system. Linearly and circularly polarized cases are also investigated. In the case of unidirectional propagation, we show that the propagation of small-but-finite amplitude long waves is governed by the complex Korteweg–de Vries (KdV) equation.
DOI	10.1177/10812865231188931

Kaynağa git Özyeğin Üniversitesi

Aramaya Dön

Özyeğin Üniversitesi

Kaynağa git

Dispersive transverse waves for a strain-limiting continuum model

Yazar Erbay, Hüsnü Ata, Rajagopal, K. R., Saccomandi, G., Şengül, Y.

Basım Tarihi 2023-10

Basım Yeri - Sage

Konu Dispersive transverse waves, Implicit constitutive theory, Improved Boussinesq equations, Strain-limiting model, Traveling wave solutions

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 1081-2865

Kayıt Numarası 7119ddc6-5526-4235-b333-c44c02109b7a

Lokasyon Natural and Mathematical Sciences

Tarih 2023-10

Notlar Istituto Nazionale di Alta Matematica "Francesco Severi" ; Gruppo Nazionale per la Fisica Matematica ; Instituto Nazionale di Fisica Nucleare

Örnek Metin It is well known that propagation of waves in homogeneous linearized elastic materials of infinite extent is not dispersive. Motivated by the work of Rubin, Rosenau, and Gottlieb, we develop a generalized continuum model for the response of strain-limiting materials that are dispersive. Our approach is based on both a direct inclusion of Rivlin–Ericksen tensors in the constitutive relations and writing the linearized strain in terms of the stress. As a result, we derive two coupled generalized improved Boussinesq-type equations in the stress components for the propagation of pure transverse waves. We investigate the traveling wave solutions of the generalized Boussinesq-type equations and show that the resulting ordinary differential equations form a Hamiltonian system. Linearly and circularly polarized cases are also investigated. In the case of unidirectional propagation, we show that the propagation of small-but-finite amplitude long waves is governed by the complex Korteweg–de Vries (KdV) equation.

DOI 10.1177/10812865231188931