TY - JOUR
AU - Zakharov, D. D.
AB - The paper considers bending edge waves in thin plates made of isotropic (transversely isotropic) layers with possible asymmetric packing or a functionally graded material (FGM), the characteristics of which vary continuously over depth. The faces of the plate are assumed to be stress free. Thus, the coupled problem of the dynamic bending and quasi-static plane stress state of the plate is obtained. In contrast to the previously considered general situations with anisotropic materials, by choosing an appropriate coordinate system, the equations of bending and of the plane stress problem can be decoupled and coupling of the boundary conditions can be minimized. In addition, some of the characteristic roots of the operators are multiple. A dispersion relation is obtained in explicit form, and, in addition to the known component obtained by Konenkov, it contains a correction term that depends on the dimensionless membrane-bending stiffnesses. Its solution is obtained, and the influence of the parameters is analyzed. Examples of calculated dispersion curves are given.
TI - Konenkov’s Edge Bending Waves in Isotropically Laminated and FGM Plates
JF - Acoustical Physics
DO - 10.1134/s1063771021040138
DA - 2021-07-01
UR - https://www.deepdyve.com/lp/springer-journals/konenkov-s-edge-bending-waves-in-isotropically-laminated-and-fgm-Y9d030nFir
SP - 351
EP - 359
VL - 67
IS - 4
DP - DeepDyve
ER -