ABSTRACT
This paper addresses the problem of predicting the behaviors of a composite
material, which consists of a matrix and a spherical inclusion coated by a multilayered
interphase, under thermal and/or mechanical loading variations and based
on the micromechanics principles. The multi-layered interphase, which in general
includes different properties for each layer, is modeled by applying the multiinclusion
model. The considered damage mode, which is represented by the
progressive debonding of the particle from the interphase, is assumed to be
controlled by a critical energy criterion and the Weibull's distribution function. The
effects of the interphase parameters such as its thickness and the properties of each
layer on the effective thermomechanical properties and the vibration characteristics
of composites with multi-layered interphases are presented and discussed. The
natural frequencies give information about the resonance avoidance whereas mode
shapes give information about observability and controllability of different structures.
Therefore, the natural frequencies and mode shapes as vibration characteristics are
investigated based on Euler and Timoshenko theories.