Exact Description of Rotational Waves in an Elastic Solid

Exact Description of Rotational Waves in an Elastic Solid

Conventional descriptions of transverse waves in an elastic solid are limited by an assumption of infinitesimally small gradients of rotation. By assuming a linear response to variations in orientation, we derive an exact description of a restricted class of rotational waves in an ideal isotropic elastic solid. The result is a nonlinear equation expressed in terms of Dirac bispinors. This resul...

Propagation of Waves at an Interface of Heat Conducting Elastic Solid and Micropolar Fluid Media

The present investigation is concerned with the reflection and transmission coefficients of plane waves at the interface of generalized thermoelastic solid half space and heat conducting micropolar fluid half- space. The amplitude ratios of various reflected and transmitted waves with various angle of incidence have been computed numerically and depicted graphically. Micropolarity and thermal r...

Interaction of Gravitational Waves with an Elastic Solid Medium

Experimental evidence of rotational elastic waves in granular phononic crystals.

A generalized theory of elasticity, taking into account the rotational degrees of freedom of point bodies constituting a continuum, was proposed at the beginning of the twentieth century by the Cosserat brothers. We report the experimental observation of coupled rotational-translational modes in a noncohesive granular phononic crystal. While absent in the classical theory of elasticity, these e...

Stress Waves in a Microperiodic Layered Elastic Solid Revisited

A one-dimensional pure stress initial boundary value problem of linear elastodynamics for amicroperiodic layered semi-space in which amicrostructural length is taken into account is revisited. Also, the plane stress harmonic waves propagating in a microperiodic layered infinite elastic space are discussed. It is shown that (i) for a particular system of the length and time units the transient s...