An Interfacial Debonding Model for Particle-Reinforced Composites

Abstract

To simulate the evolution process of interfacial debonding between particle and matrix, and to further estimate its effect on the overall elastic behavior of particle-reinforced composites, a two-level microstructural-effective damaged model is developed. The microstructural damage mechanism is governed by the interfacial debonding of reinforcement and matrix. The progressive damage process is represented by the debonding angles that are dependent on the external loads. For those debonded particles, the elastic equivalency is constructed in terms of the stiffness tensor. Namely, the isotropic yet debonded particles are replaced by the orthotropic perfect particles. The volume fraction evolution of debonded particles is characterized by the Weibull’s statistical approach. Mori-Tanaka’s method is utilized to determine the effective stiffness tensor of the resultant multi-phase composites. The proposed constitutive framework is developed under the general three-dimensional loading condition. Examples are conducted to demonstrate the capability of the proposed model.

Micromechanics-based elastic-damage analysis of laminated composite structures

“…Many micromechanical models incorporating damage mechanisms have been developed in order to obtain the homogenized elastic properties of composite materials (Qu, 1993a,b, Tohgo andWeng, 1994;Zhao and Weng, 1995, 1997Ju and Lee, 2001;Liu et al, 2004Liu et al, , 2006Pyo, 2007, 2008b; Pyo and Lee, 2009) and/or to study the effect of microcracks on the elastic behavior of brittle solids (Karihaloo and Fu, 1989;Lee and Liang, 2004;Lee and Simunovic, 2006;Lee and Pyo, 2009). Many finite element (FE) analyses of damage and failure in laminated composites under various loading cases have also been carried out (Davalos et al, 1996;Luciano and Zinno, 2000;Maa and Cheng, 2002;Basu et al, 2003;Kilic and Haj-Ali, 2003;Rodriguez and Ochoa, 2004;Liang et al, 2006;Guo, 2007;Lee and Kim, 2007;Maimi et al, 2007;Teng, 2007;Rudraraju et al, 2008).…”

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…”

Stiffness properties of particulate composites containing debonded particles

“…For particulate composites with interfacial debonding, see Liu et al (2004) and Tan et al (2007). Many of those studies are based on the Mori-Tanaka model as originally developed for perfectly bonded inclusions, and the nonlinear problem of inclusion-matrix separation and contact at the debonded interface is not considered.…”