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

Ahmad Barzkar and Hojatollah Adibi

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:789238

DOI: 10.1155/2015/789238

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