Elastic compliance of a partially debonded circular inhomogeneity

Abstract

In the present work, we predict contribution of a partially debonded circular inhomogeneity into the material overall elastic compliance. Debonding at the matrix/inclusion boundary is modeled as interfacial arc cracks. The change in the elastic compliance caused by interface cracking is estimated through the accompanying energy change that is related to the mode I and mode II stress intensity factors at the crack tips. The sum of the crack compliance and the inhomogeneity compliance (with perfect bonding) gives the total compliance of the debonded inhomogeneity. The latter is obtained in terms of the material properties and crack length. Additional analysis shows that the replacement of an interface crack with a crack in a homogenized medium is an inadequate approach when seeking approximate solutions. The paper also provides guidelines how to determine properties of a fictitious perfectly bonded orthotropic inhomogeneity that has the same contribution into the material compliance as the debonded isotropic one. This problem is of practical importance when modeling damage accumulation in composite materials by means of homogenization schemes.

Meso cell model of fiber reinforced composite: Interface stress statistics and debonding paths

“…Of course, this is obvious over-simplification: in a real composite, the partially and even fully debonded fiber may still contact the matrix and thus affect the local stress field and overall elastic response. There is a number of publications (Meraghni et al, 1996;Zheng et al, 2003;Gorbatkikh et al, 2005, among others) where these effects were studied; taking account of them represents a natural next step in development of our meso cell model but lies out of scope of this paper. However, even in the framework of this simplest debonding model, some qualitative results can be obtained.…”

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].…”

On Stress Intensity Factors of Multiple Cracks at Small Distances in 2-D Problems

“…This formula is applied to calculate compliance of an annular crack in Sevostianov and Kachanov (2002). For interfacial cracks a similar relation between SIFs and compliance was derived in Gorbatikh (2004) and Gorbatikh et al (2005).…”