Axisymmetric Waves in Prestressed Highly Elastic Composite Material. Long Wave Approximation

The statement and method of solving problems on the propagation of axisymmetric harmonic waves in a highly elastic laminated composite material are considered within the framework of the linearized theory of elasticity for prestressed bodies. The case of wave propagation along the layers of a composite material is investigated. The dispersion equations for quasi-transverse waves and their long-wave approximations are obtained in the cases of perfect bonding and free sliding of the layers. The phase velocity of long waves is studied for a material with a Treloar elastic potential.