The uniaxial tension of particulate composite materials with nonlinear interface debonding

Abstract

Debonding of particle/matrix interfaces can significantly affect the macroscopic behavior of composite material. We have used a nonlinear cohesive law for particle/matrix interfaces to study interface debonding and its effect on particulate composite materials subject to uniaxial tension. The dilute solution shows that, at a fixed particle volume fraction, small particles lead to hardening behavior of the composite while large particles yield softening behavior. Interface debonding of large particles is unstable since the interface opening (and sliding) displacement(s) may have a sudden jump as the applied strain increases, which is called the catastrophic debonding. A simple estimate is given for the critical particle radius that separates the hardening and softening behavior of the composite.

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

“…Kari et al [319] showed that, for a given volume fraction, the influence of the size of the spherical particles on the effective material properties is not significant in the case of linear elasticity. The effect of interface debonding and particle size on behavior of particulate composite materials was studied by Tan et al [320]. Based on their observations, small and large particles yield hardening and softening behavior, respectively.…”

Tunability of collagen matrix mechanical properties via multiple modes of mineralization

“…[29][30][31][32]) and high volume fraction [33]. However, additional structural factors, such as non-random and non-periodic distribution [7] and de-bonding between particles and matrix, are not well modelled by any of these traditional analytical methods [34,35], necessitating the application of multiscale numerical models [36].…”

Subparticle stress fields in granular solids

“…CGMs form a wide class of materials with a similar microstructure consisting of densely packed particles and a solid matrix filling the interstitial space and sticking to the particles. Some examples are mortars, concrete and asphalt (aggregates of various sizes glued to each other by a cement paste) [1], solid propellants and high explosives (large volume of energetic particles in a polymeric binding matrix) [2], sedimentary rocks (sandstones, conglomerates and breccia) [3], and some biomaterials such as the wheat endosperm (starch granules forming a compact structure bound together by a protein matrix) [4][5][6]. In the major numerical methods used to simulate granular materials (Contact Dynamics (CD), Discrete Element Method (DEM)), the particles are treated as solid objects that interact only at their contact points.…”