A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity

Name: A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
Author: Erbay, Hüsnü Ata, Sengul, Y.

İsim	A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
Yazar	Erbay, Hüsnü Ata, Sengul, Y.
Basım Tarihi:	2020-05-28
Basım Yeri	- Springer Nature
Konu	Viscoelasticity, Strain-limiting model, Stress rate, Thermodynamics, Implicit constitutive theory
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0044-2275
Kayıt Numarası	28fc435b-c106-49d6-ac4d-fefc29070a21
Lokasyon	Natural and Mathematical Sciences
Tarih	2020-05-28
Örnek Metin	We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present strain-limiting theory is that the linearized strain depends nonlinearly on the stress and the stress rate. We show the thermodynamic consistency of the model using the complementary free energy and then using the Gibbs free energy. This allows us to take the stress and the stress rate as primitive variables instead of kinematical quantities such as deformation or strain. We also show that the non-dissipative part of the materials in consideration has a stored energy. We compare the new stress-rate type model with the strain-rate type viscoelastic model due to Rajagopal from the points of view of energy decay, the nonlinear differential equations of motion and Fourier analysis of the corresponding linear models.
DOI	10.1007/s00033-020-01315-7
Cilt	71

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A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity

Yazar Erbay, Hüsnü Ata, Sengul, Y.

Basım Tarihi 2020-05-28

Basım Yeri - Springer Nature

Konu Viscoelasticity, Strain-limiting model, Stress rate, Thermodynamics, Implicit constitutive theory

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0044-2275

Kayıt Numarası 28fc435b-c106-49d6-ac4d-fefc29070a21

Lokasyon Natural and Mathematical Sciences

Tarih 2020-05-28

Örnek Metin We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present strain-limiting theory is that the linearized strain depends nonlinearly on the stress and the stress rate. We show the thermodynamic consistency of the model using the complementary free energy and then using the Gibbs free energy. This allows us to take the stress and the stress rate as primitive variables instead of kinematical quantities such as deformation or strain. We also show that the non-dissipative part of the materials in consideration has a stored energy. We compare the new stress-rate type model with the strain-rate type viscoelastic model due to Rajagopal from the points of view of energy decay, the nonlinear differential equations of motion and Fourier analysis of the corresponding linear models.

DOI 10.1007/s00033-020-01315-7

Cilt 71