Micromechanics-based elastic damage modeling of particulate composites with weakened interfaces

Abstract

A micromechanical framework is proposed to predict the effective elastic behavior and weakened interface evolution of particulate composites. The Eshelby's tensor for an ellipsoidal inclusion with slightly weakened interface [Qu, J., 1993a. Eshelby tensor for an elastic inclusion with slightly weakened interfaces. Journal of Applied Mechanics 60 (4), 1048-1050; Qu, J., 1993b. The effect of slightly weakened interfaces on the overall elastic properties of composite materials. Mechanics of Materials 14, 269-281] is adopted to model spherical particles having imperfect interfaces in the composites and is incorporated into the micromechanical framework. Based on the Eshelby's micromechanics, the effective elastic moduli of three-phase particulate composites are derived. A damage model is subsequently considered in accordance with the Weibull's probabilistic function to characterize the varying probability of evolution of weakened interface between the inclusion and the matrix. The proposed micromechanical elastic damage model is applied to the uniaxial, biaxial and triaxial tensile loadings to predict the various stress-strain responses. Comparisons between the present predictions with other numerical and analytical predictions and available experimental data are conducted to assess the potential of the present framework.

Hybrid micromechanical-phenomenological modelling of anisotropic damage and anelasticity induced by micro-cracks in unidirectional composites

“…After this stage, the micro-crack density γ c is expressed as a function g of the maximal value reached by the criterion H c in the whole loading history, noted hereafter as sup(H c ). The function g is chosen as a Weibull-like law (Weibull 1951) that is commonly utilized in micromechanics-based models to express the evolution of various types of damage mechanisms like micro-cracking (Derrien et al, 2000;Meraghni et al, 2002) or interface debonding (Lee and Pyo, 2007;Zaïri et al, 2008;Despringre et al, 2016). Thus, in the proposed model, the development of the micro-crack density is expressed as follows:…”

Effective anisotropic stiffness of inclusions with debonded interface for Eshelby-based models

“…They noted that the effects of debonding in terms of loss of axial stiffness of fibers could be different based on the exact location and extent of debonding. More work in this field was done [19][20][21][22][23].…”

Micromechanics-based viscoelastic damage model for particle-reinforced polymeric composites

“…It is assumed that all of the particles are perfectly bonded in the initial state, but some of the particles are damaged by increasing loading or deformation on the composites, and those particles could be then separately regarded as damaged particles (completely debonded particles, phase 2) that may lose their load-carrying capacity. The effective elastic constitutive equation of the particle-reinforced composites has been studied by many researchers [32][33][34][35][36][37][38]. In particular, following the ensemble-averaged volume method proposed by Ju and Chen [23,24], the effective elastic tensor C * of the three-phase composites can be given by…”