Propagation of Waves in an Incompressible Microstretch Solid

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 = (u₁,0,u₃) and the microrotation vector =(0, φ₂,0) and, (ii) when the displacement vector = (0, u₂, 0) and the microrotation vector =(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.