The attenuation of self-equilibrated edge stress states into the interior of a laminated plate composed of an arbitrary number of bonded, elastic, anisotropic layers is investigated in the context of Saint-Venant’s principle using the exponential decay results of Toupin, Knowles, and Horgan. To model the plate’s behavior, a semianalytical method is used with finite element interpolations over the thickness and exponential decay into the plate’s interior. The formulation leads to a second-order algebraic eigensystem whose eigenvalues are the characteristic inverse decay lengths, and corresponding right eigenvectors depict the displacement distributions of self-equilibrated traction states. Orthogonality relations between these right and left eigenvectors of the adjoint system are established. An eigenvector expansion for representing arbitrary self-equilibrated edge tractions is then presented. This approach is useful in revealing the interlaminar effects and their decay rates in a laminated composite plate under plane strain. Two examples are provided where the interlaminar phenomena due to eigenstates of self-equilibrated edge stress are illustrated.
A global local finite element method is developed for axisymmetric scattering of a steady, compressive, incident elastic wave in a homogeneous, isotropic host medium by an axisymmetric inclusion. The inclusion may be arbitrary with respect to its geometry and can have inhomogeneous, anisotropic elastic material properties. Examples on spheroidal and finite circular cylindrical inclusions are given. Comparison of current data with available results show good agreement.
Analytical failure prediction and fxpcrimental evaluation of baltcd connections in composite drivcshsfts is invesligated. The load state and geometry existing in a shaft diner from that typically considered in the flatplate, tension-loaded eases found in the literature. A failure criteria is proposed to predict the connection strength via finite clement analysis. The effects of various design parameters on connection strength are investigated. Experimental verification of analytical results is presented for various test configurations. Goad eorrelation between analytical predictions and test results is shown to exist.
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