Propagation characteristics of plane waves in nonlocal isotropic diffusive materials

Abstract

The size-dependent theoretical modeling of coupled phenomena between deformation and mass diffusion is of current interest in the fields of nanomechanics and nanotechnology. The theory of nonlocal elasticity is applied to study the propagation of plane waves in a linear and isotropic diffusive elastic material. The governing equations of motion are specialized in a plane and are solved for time-harmonic plane wave solutions. The velocity equations are derived to show the possible propagation of three homogeneous plane waves in an isotropic diffusive elastic medium. A reflection phenomenon of plane waves is also considered to obtain the reflection and energy coefficients of reflected waves. A particular numerical example is taken to illustrate graphically the effects of elastic and diffusive nonlocal parameters on the speeds of plane waves, reflection coefficients and energy ratios of reflected waves.