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Propagation of Waves in an Incompressible Microstretch Solid


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1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh--160011, India
     

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In the present paper, the governing equations of isotropic linear incompressible microstretch solid are solved for plane wave solutions in x-z plane (i) when the displacement vector u= (u1,0,u3)and the microrotation vectorΦ= (0,Φ2,0) and, (ii) when the displacement vector = (0,u2,0) and the microrotation vector Φ= (Φ1,0,Φ3). It is found that there exist four plane waves with distinct speeds in an isotropic linear incompressible microstretch solid. The speeds of the plane waves depend on various material parameters. The speeds of plane waves are computed numerically for a particular material and are shown graphically against the non-dimensional frequency.

Keywords

Incompressible Microstretch Solid, Microrotation, Plane Waves.
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  • Propagation of Waves in an Incompressible Microstretch Solid

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Authors

Baljeet Singh
Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh--160011, India

Abstract


In the present paper, the governing equations of isotropic linear incompressible microstretch solid are solved for plane wave solutions in x-z plane (i) when the displacement vector u= (u1,0,u3)and the microrotation vectorΦ= (0,Φ2,0) and, (ii) when the displacement vector = (0,u2,0) and the microrotation vector Φ= (Φ1,0,Φ3). It is found that there exist four plane waves with distinct speeds in an isotropic linear incompressible microstretch solid. The speeds of the plane waves depend on various material parameters. The speeds of plane waves are computed numerically for a particular material and are shown graphically against the non-dimensional frequency.

Keywords


Incompressible Microstretch Solid, Microrotation, Plane Waves.