Extensional waves in strongly anisotropic elastic plates

Elastic waves in multilayered plate reinforced by inextensible fibres

“…When U1 = 0 first of theequations of motion (3), when i = 0, may be used to determine reaction stress T. Here, as in [2] and [3], we postulate existence of singular surfaces, within or on the boundary of the material, across which the stress component 0-13 may be discontinuous with an associated singularity in the reaction stress all. The remaining two equations (3) leads, as in [7], to reduced equations in the following form…”

“…In that case the material has internal constraint of inextensibility in the fibre direction and, as a consequence, arbitrary reaction stress. Propagation of elastic waves in such materials has been considered in [2] and [3] with conclusion that, in order to satisfy fraction-free boundary conditions, it is necessary to postulate existence of discontinuous shear stresses and singular normal stress in the fibre direction.…”

Plate Wave Propagation in Transversely Isotropic Materials

“…Mindlin, motivated by an interest in the vibration of quartz piezoelectric transducers, used the Ekstein formulation to examine plate waves in crystals of monoclinic symmetry along a symmetry axis [8]. More recently, Green and co-workers [9][10][11][12] have examined the propagation of the bending and extensional waves in transversely isotropic media. Of particular note in Green's research is the investigation of propagation in non-symmetry directions and the limiting behavior for bending and extensional waves for short and long wavelengths.…”

“…However, this approach requires multiple incidence angles in order to be useful. Thus, specimens must either be sectioned [8][9][10] or the experimental geometry adjusted [11,12], a cumbersome process, to be effective. An Figure 4(a)].…”

Lamb Waves from Microfractures in Composite Plates

“…Due to the complexity of the equation of motion of the anisotropic medium, the problern of wave motion in composite plates is far more difficult to solve. In most literature, only two-dimensional problems have been considered [5]. Solutions to three-dimensional problems are few [6] and are limited to surface loading.…”