The effect of localized damage on the behavior of composites with periodic microstructure

The Induced Stress Field in Cracked Composites by Heat Flow

“…The present formulation has been illustrated for a single crack, which forms a simple example of localized damage. It is however possible to consider other types of localized damage in composites, such as cavities, soft and stiff inclusions; see [17]. In addition, the modeling of the interaction between two types of damage in composites that are subjected to heat flow (e.g., interaction between a crack and cavity) is possible.…”

“…As discussed in [17], the effect of the crack can be represented, in the framework of the continuum damage mechanics, by introducing a damage parameter D, which takes the value of zero or one. In the crack region, D = 1, whereas D = 0 otherwise.…”

“…It should be noted that D = 1 in the crack region implies that the crack does not evolve. The proposed method enables however the crack progression; see [17].…”

“…The inversion of the Fourier transform provides the actual thermal and mechanical fields at the various cells and, thus, at every desired point of the composite. The effect of crack existence is taken into account by the continuum damage mechanics considerations combined with the localized damage analysis as described by [17,18]. It should be noted that in both of these articles, the constant temperature has been uniformly prescribed in the entire composite.…”

Eigenstrain and Fourier series for evaluation of elastic local fields and effective properties of periodic composites

“…[19]. Ryvkin and Aboudi [20] and Aboudi and Ryvkin [21] have combined different types of analyses (discrete Fourier transform, high-fidelity generalized method of cells micromechanical model, higher-order theory for the computation of the elastic field in the transform domain) in order to investigate fiber loss or localized damage in periodic continuous fiber composites that are subjected to thermomechanical loadings.…”