Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods

Joint Authors

Konjik, Sanja
Atanacković, Teodor M.
Zorica, Dušan
Oparnica, Ljubica

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-32, 32 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-02

Country of Publication

Egypt

No. of Pages

32

Main Subjects

Mathematics

Abstract EN

We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders.

Such an equation generalizes several known models.

The restrictions on coefficients are derived by using entropy inequality for isothermal processes.

In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation.

In particular, we examine stress relaxation and creep and compare results with the quasistatic analysis.

American Psychological Association (APA)

Atanacković, Teodor M.& Konjik, Sanja& Oparnica, Ljubica& Zorica, Dušan. 2011. Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-32.
https://search.emarefa.net/detail/BIM-512861

Modern Language Association (MLA)

Atanacković, Teodor M.…[et al.]. Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods. Abstract and Applied Analysis No. 2011 (2011), pp.1-32.
https://search.emarefa.net/detail/BIM-512861

American Medical Association (AMA)

Atanacković, Teodor M.& Konjik, Sanja& Oparnica, Ljubica& Zorica, Dušan. Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-32.
https://search.emarefa.net/detail/BIM-512861

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-512861