Dynamics of laminated and fibrous composites

摘要: In the present review investigation results are presented on elastic wave propagation in laminated and fibrous unidirectional composite materials modeled by piecewise-homogeneous medium (the structural model). contrast to continual theories, model of such a type does not essentially impose additional restrictions (other than those postulated solid deformable body mechanics) frequencies gradients spatial alteration processes investigated. However, it should be stressed that, within framework this approach, is necessary solve complicated boundary-value or initial-boundary-value problems, which considerably complicate investigations area. Currently, regularly most thoroughly A detailed, comprehensive analysis given bulk, surface, normal waves. The rule selection, choice modes, formulated for piecewise-inhomogeneous spectra, structure pass bands zones shear longitudinal–transverse waves described with its dependence relative thickness mechanical properties layers, vibration modes transmission zone boundaries determined. theory Love- Rayleigh-type surface presented. These may propagate composites at corresponding stop band bulk highly significant influence correspondence set frequency other composition reflecting noted reflection character plane existence intervals several incidence angles cases complete internal shown. Penetration disturbances deep into was investigated cylindrical spherical interface surfaces properties. displacements stress attenuation different longitudinal transverse boundaries. Results also thermoelastic, magnetoelastic electroelastic (acoustoelectric) application superposition principle summation theorems functions regular packing allows us construct formal solutions both doubly periodic media separately situated row inclusions location. Solutions extended smooth noncircular form. all boundary value problems reduced infinite systems algebraic equations complex coefficients containing functions. For periodically located fibers, informal shown, Specific quantitative obtained. diffraction longitudinal-transverse hollow fibers analyzed. discrete spectrum, resonance effects Wood-anomaly inclusion, fiber form distribution prospects development pointed out model.