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

الملخص 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.