Abstract
In this paper, a Z-reinforced sandwich structure with cavities is introduced as a promising structural form for modern underwater acoustic stealth structures. To theoretically predict effective moduli of its core layer, called Z-reinforced core with cavities, a novel approach is proposed by applying a multi-level homogenization model in which the composite core is equivalent to an orthotropic material. Via Mori–Tanaka formula, analytic effective moduli of the complex composite core are predicted based on two assumptions: (a) the cavity is assumed as an isotropic material with a weak modulus; (b) the Eshelby tensor in the second-level homogenization is assumed to be equal to the one in the first-level. Meanwhile, a representative volume element (RVE) for the Z-reinforced core with cavities is built and numerical effective moduli are calculated by the micromechanics finite element method (FEM). Several numerical examples are carried out to verify the competencies of the proposed approaches. The obtained results agree well with each other and also with available experimental data. Effects of volume fractions of cavities and reinforcements on effective moduli of the composite core are also discussed. Furthermore, some bending deformation and free vibration analyses for the Z-reinforced sandwich structure with cavities are conducted.
Published Version
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