Abstract
The viscoelastic composites are being more widely used in the industry. While remaining light materials with good mechanical stiffness characteristics, the viscoelastic composite materials provide interesting absorption properties and can reduce the vibratory disturbances.
The paper is concerned with the behavior of a viscoelastic composite incorporating isotropic viscoelastic balls embedded in isotropic resin subjected to harmonic vibrations. The wavelength considered is large compared to one period of the medium, and therefore, the homogenization of the medium is substantiated allow to replace the highly heterogeneous material by a homogeneous material whose behavior depends on the mechanical properties and geometry of the various components. The homogenized coefficients are obtained by resolving elementary problems in which only complex quantities are present. These coefficients are numerically computed using a finite element method in 3-dimensional space of complex numbers.
Two examples are proposed allowing to trace the change in the various coefficients which are homogenized as a function of the pulse. These coefficients are only angular dependent frequencies and are approximated using a law of n parameters. This enables an important reduction in computational time.
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