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This article is concerned with the mechanical behavior of heterogeneous composite plates with elastic moduli and layered geometries varying through the thickness direction and periodically along the in‐plane directions. By using the concept of decomposition of the rotation tensor, we first formulate the three‐dimensional elastic problem in an intrinsic form for application to the geometrically nonlinear...
The effect of linear contouring of crystal strips on the resonance frequencies, the coupling among vibration modes, and the spatial variation of mode shapes have attracted analytical and experimental studies for many decades for its application in crystal resonator design.In the present paper, exact solutions are obtained for the coupled thickness-shear and flexural vibrations of quartz strips with...
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