Effect of particle cracking on elastoplastic behaviour of metal matrix composites

Abstract

SUMMARYA micromechanics-based elastoplastic and damage constitutive model is proposed to predict the overall mechanical behaviour of particle-reinforced metal matrix composites. Unidirectionally aligned spheroidal elastic particles, some of which contain penny-shaped cracks, are randomly distributed in the elastoplastic metal matrix. These imperfect particles, attributed to progressive particle cracking, are modelled by using the double-inclusion concept. An ensemble-volume averaged homogenization procedure is employed to estimate the e ective yield function of the damaged composites. The associative plastic ow rule and the hardening law are postulated based on the continuum plasticity theory. The underlying damage evolution of particles is considered in accordance with the Weibull's statistical function to characterize the varying probability of reinforcement cracking. The elastoplastic mechanical behaviour of particulate composites under uniaxial loading conditions is simulated and compared with available experimental results.

Effective Elastoplastic Damage Mechanics for Fiber-reinforced Composites with Evolutionary Complete Fiber Debonding

“…Instead, we employ a framework in which an ensembleaveraged yield criterion is constructed for composites. The methodology is parallel to the work of Ju and Chen (1994c) and Lee (2000, 2001), Sun et al (2003a), Sun et al (2003b), Liu et al (2004), in which only the first-order effects are considered in the formulation of effective plastic response. However, by means of this method, we can achieve a feasible elastoplastic damage formulation for fiber composites.…”

Microstructure-based finite element analysis of failure prediction in particle-reinforced metal–matrix composite

“…In case of rigid interfacial bonding, particle may crack when the local stress reaches the fracture strength of particles. During tension, high stress develops in the matrix close to the tip of the particle along loading direction (Roatta and Bolmaro, 1997;Geni and Kikuchi, 1998;Steglich et al, 1999;Eckschlanger and Bohm, 2002;Leggoe et al, 1998;Eckschlager et al, 2002;Borbely et al, 2001;Segurado et al, 2003;Prangnell et al, 1996;Mammoli and Bush, 1995;Subramanian et al, 1995;Borbely and Biermann, 2000;Sun et al, 2003;Babout et al, 2004;Lorca, 1995). The stress concentration in the vicinity of the particle is due to the strain constraint in the presence of SiC particles.…”

“…Experimental investigation shows that normally there are three prevalent damage micro mechanisms in PRMMCs, including the brittle cracking of reinforcement, the debonding along the interface between the matrix and reinforcement and the ductile plastic localization in the matrix (Sun et al, 2003).…”

Damage evolution in fibrous composites caused by interfacial debonding

“…Based on Eshelby's equivalent inclusion theory, a new meso-mechanical analysis method was adopted to investigate the partial debonding of inclusions (particles or fibers) (e.g. Chen et al, 2008Chen et al, , 2010Lee, 2000, 2001;Ju and Sun, 1999;Ju et al, 2006;Liu et al, 2004;Paulino et al, 2006Paulino et al, , 2008Sun and Ju, 2004;Sun et al, 2003Sun et al, , 2010Wong and Ait-Kadi, 1997;Zhao and Weng, 1997). Because the partially debonded inclusions could partially transverse stress, those inclusions could be approximately considered as anisotropic ones, and thus the Eshleby's theory is still valid for analyzing the overall mechanical properties of composites.…”