NONLINEAR-INTERACTIONS OF LONGITUDINAL AND HELICAL SHEAR-WAVES IN A SOLID BODY WITH A MICROSTRUCTURE

Authors
Citation
Vi. Erofeev, NONLINEAR-INTERACTIONS OF LONGITUDINAL AND HELICAL SHEAR-WAVES IN A SOLID BODY WITH A MICROSTRUCTURE, Acoustical physics, 43(2), 1997, pp. 152-156
Citations number
11
Categorie Soggetti
Acoustics
Journal title
ISSN journal
10637710
Volume
43
Issue
2
Year of publication
1997
Pages
152 - 156
Database
ISI
SICI code
1063-7710(1997)43:2<152:NOLAHS>2.0.ZU;2-B
Abstract
We studied the multiwave nonlinear resonance interactions of elastic w aves in a solid body with a microstructure. The study was carried out with a model of a medium with moment stresses (Le Roux continuum) gene ralized to account for geometrical and physical nonlinearities. A squa re-law nonlinearity was shown to cause the resonance interaction of th ree waves: a plane-polarized longitudinal shear wave and two shear wav es of circular polarization (helical waves). The frequencies and wave numbers of interacting waves were related by the conditions of phase s ynchronism and they satisfy the dispersion equations. The effect of sp litting instability was found to take place in the medium when a longi tudinal high-frequency wave was split into two shear lower frequency w aves. The interaction manifested itself by space beat. The envelope wa velength decreased with an increase of the longitudinal wave amplitude . A cubic nonlinearity may cause four-wave resonance interactions of h elical shear waves.