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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
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