Impact Response of a Unidirectional Composite Laminate

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Abstract

The response of a transversely isotropic half-space and a plate with its symmetry axis parallel to the surface, subjected to a transient surface point load at an arbitrary angle is determined. The problem is formulated in terms of an integral transform method in the frequency domain. To obtain the near-field solution, double infinite integrals involved in the inverse transform are evaluated by extending the Clenshaw-Curtis quadrature scheme to two dimensions. Approximate far-field solutions are obtained by evaluating the double integrals using the residue theorem and the stationary phase method. As a companion problem, the response of a finite simply supported plate subjected to d dynamic surface load in also obtained using classical plate theory (CPT) with appropriate modifications to include the transverse shear effect (TSE)and rotatory inertia. The numerical results obtained by the different approaches are compared.

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