On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations

Joint Authors

Barzkar, Ahmad
Adibi, Hojatollah

Source

Mathematical Problems in Engineering

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-04-27

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

Propagation of mechanical waves’ phenomenon is the result of infinitely small displacements of integrated individual particles in the materials.

These displacements are governed by Navier-Lame and Navier-Stokes equations in solids and fluids, respectively.

In the present work, a generalized Kelvin-Voigt model of viscoelasticity has been proposed with the aim of bridging the gap between solids and fluids leading to a new concept of viscoelasticity which unifies the Navier-Lame and the Navier-Stokes equations.

On solving this equation in one dimension, propagation of stress disturbance in the so-called “Kelvin-Voigt materials” will be studied.

The model of these materials involves all the elastic and viscoelastic solids, as well as fluids and soft materials.

American Psychological Association (APA)

Barzkar, Ahmad& Adibi, Hojatollah. 2015. On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074700

Modern Language Association (MLA)

Barzkar, Ahmad& Adibi, Hojatollah. On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074700

American Medical Association (AMA)

Barzkar, Ahmad& Adibi, Hojatollah. On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074700

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1074700