Crack onset and growth at the fibre–matrix interface under a remote biaxial transverse load. Application of a coupled stress and energy criterion

Mantič, V.; García, Israel García

doi:10.1016/j.ijsolstr.2012.04.023

Cited by 53 publications

(29 citation statements)

References 30 publications

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“…The materials of both the inclusion and the matrix are considered to be linear, elastic and isotropic. Let (x, y) and (r, θ) be the cartesian and polar coordinates with the origin of coordinates in the center of the inclusion, assuming without any loss of generality that (x, y) is the principal coordinate system of the remote stress state defined by the principal stresses σ ∞ x ≥ σ ∞ y , see Although the ratio of the principal stresses η = σ ∞ y /σ ∞ x = tan φ ∞ is sometimes used to characterize the biaxiality of the remote stress state (Mantič and García 2012), in the present study, which covers also configurations where both remote principal stresses are compressive, the following general load-biaxiality parameter 1 :…”

Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

“…The corresponding Dundurs bi-material parameters in plane strain are α = 0.919 and β = 0.229, and the harmonic mean of the effective elasticity moduli is E * = 6.01GPa, see (París et The strength and fracture properties of the fibre-matrix interface, tensile strengthσ c = 90 MPa and fracture energy in mode IḠ Ic = 2 Jm −2 , considered in the numerical procedure are in the range of values found in the literature (Zhang et al 1997;Varna et al 1997) and correspond to quite brittle behaviour (Mantič 2009;Mantič and García 2012), making the hypothesis for the LEBIM represent appropriately a real possible composite material behavior (Távara et al 2011). Then, k n is determined by (6).…”

Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

“…A dimensionless structural parameter, referred to as the brittleness number, governing the brittle-to-tough transition in the fibre-matrix debond onset can be defined following (Mantič 2009;Távara et al 2011;Mantič and García 2012) as…”

Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

“…In the current investigation, debond onset and propagation along the interface of an isolated fibre embedded in an elastic matrix subjected to remote biaxial transverse loads is studied, cf. (París et al 2003;Mantič and García 2012;Correa et al 2013). The aim of the study is to obtain, among other results, failure curves predicting the critical loads which cause the fibre-matrix interface failure.…”

Section: Introductionmentioning

confidence: 99%

“…An alternative analytical approach based on a coupled stress and energy criterion (Mantič 2009;Leguillon 2002) and the classical open model of interface cracks (Mantič et al 2006) has recently been applied by Mantič and García (2012) to describe the initiation and propagation of a fibre-matrix interface crack under biaxial loads.…”

Section: Introductionmentioning

confidence: 99%

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A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads

et al. 2015

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A new linear elastic and perfectly brittle interface model for mixed mode is presented and analysed. In this model, the interface is represented by a continuous distribution of springs which simulates the presence of a thin elastic layer. The constitutive law for the continuous distribution of normal and tangential initially-linear-elastic springs takes into account possible frictionless elastic contact between adherents once a portion of the interface is broken. A perfectly brittle failure criterion is employed for the springs, which enables the study of crack onset and propagation. This interface failure criterion takes into account the variation of the interface fracture toughness with the fracture mode mixity. A unified way to represent several phenomenological both energy and stress based failure criteria is introduced. A proof relating the energy release rate and tractions at an interface point (not necessarily a crack tip point) is introduced for this interface model by adapting Irwin's crack closure technique for the first time. The main advantages of the present interface model are its simplicity, robustness and computational efficiency, even in the presence of snap-back and snap-through instabilities, when the so-called sequentially linear (elastic) analysis is applied. This model is applied here in order to study crack onset and propagation at the fibre-matrix interface in a composite under tensile/compressive remote biaxial transverse loads. Firstly, this model is used to obtain analytical predictions about interface crack onset, while investigating a single fibre embedded in a matrix which is subjected to uniform remote transverse loads. Then, numerical results provided by a 2D boundary element analysis show that a fibre-matrix interface failure is initiated by the onset of a finite debond in the neighbourhood of the interface point where the failure criterion is first reached (under increasing proportional load); this debond further propagates along the interface in mixed mode or even, in some configurations, with the crack tip under compression. The analytical predictions of the debond onset position and associated critical load are used for several parametric studies of the influence of load biaxiality, fracture-mode sensitivity and brittleness number, and for checking the computational procedure implemented.

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Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

Section: The Problem Of a Cylindrical Inclusion Under Biaxial Transvementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads

et al. 2015

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A review of Finite Fracture Mechanics: crack initiation at singular and non-singular stress raisers

2015

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A micromechanical analysis of inter-fiber failure in long reinforced composites based on the phase field approach of fracture combined with the cohesive zone model

et al. 2019

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Crack onset and growth at the fibre–matrix interface under a remote biaxial transverse load. Application of a coupled stress and energy criterion

Cited by 53 publications

References 30 publications

A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads

A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads

A review of Finite Fracture Mechanics: crack initiation at singular and non-singular stress raisers

A micromechanical analysis of inter-fiber failure in long reinforced composites based on the phase field approach of fracture combined with the cohesive zone model

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