DISPERSIVE BEHAVIOR OF EXTENSIONAL WAVES IN PRE-STRESSED IMPERFECTLY BONDED INCOMPRESSIBLE LAYERED COMPOSITES

Abstract eng:
Layered elastic composites are widely used in engineering applications. In general, the interface is assumed to be perfectly bonded for analysis and design. However, since in practice damage may occur due to loading or defects in the manufacturing process, the interface could be considered as imperfectly bonded. In this analysis, the effect of an imperfect interface on harmonic extensional wave propagation in a pre-stressed, symmetric layered composite is considered, where the layers consist of isotropic, incompressible, elastic materials. The shear spring type resistance model employed to simulate the imperfect interface can accommodate the extreme cases of perfect bonding and a sliding interface. The dispersion relation is obtained by formulating the incremental boundary-value problem and the use of the propagator matrix technique. Dispersion curves are presented in non-dimensional form and for the numerical examples where the material has to be prescribed either Mooney-Rivlin material or Varga material is assumed. The effect of the shear spring parameter on the dispersive behavior is clearly indicated.

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