Quadratic Stress Criterion for Initiation of Delamination

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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“…Brewer and Lagace (1988)), and maximum normal or shear traction (p → ∞) criterion, cf. García and Leguillon (2012).…”

Section: Review Of Interface Failure Criteria In Mixed Modementioning

confidence: 99%

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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“…From the literature [36] it can be seen that the approach for predicting failure in such laminates has been that of averaging the interlaminar stresses over a distance from the hole edge, suggesting that the exact values of the stresses at the free edge are not too important. As failure stress criterion was assumed the Tsai-Wu criterion [37] which takes into account the interaction of all six stress components in a quadratic equation.…”

Section: Simply Supported Plate Subjected To Bisinusoidal Pressure Loadmentioning

confidence: 99%

Interlaminar stress recovery for three-dimensional finite elements

Fagiano¹,

Abdalla²,

Kassapoglou³

et al. 2010

Composites Science and Technology

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“…Thus in this analysis, the fibre failure criterion was applied to longitudinal and transverse directions [26]. In addition, the Brewer and Lagace criterion [27] was included in the subroutine formulation to predict delamination failure, which applies only to normal tensile stress (r 33 > 0). Fibre failure in warp direction:…”

Section: Face Sheet Modelmentioning

confidence: 99%

Numerical modelling of foam-cored sandwich plates under high-velocity impact

Iváñez

Santiuste

Barbero

et al. 2011

Composite Structures

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a b s t r a c tThis paper studies the high velocity impact response of sandwich plates, with E glass fibre/polyester face sheets and foam core, using finite element models developed in ABAQUS/explicit code. The failure of the face sheets was predicted by implementing Hou failure criteria and a procedure to degrade mate rial properties in a user subroutine (VUMAT). The foam core was modelled as a crushable foam material. The numerical models were validated with experimental data obtained from scientific literature. The contribution of the foam core on the impact behaviour was evaluated by the analysis of the residual velocity, ballistic limit, and damaged area.

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Quadratic Stress Criterion for Initiation of Delamination

Cited by 469 publications

References 6 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

Interlaminar stress recovery for three-dimensional finite elements

Numerical modelling of foam-cored sandwich plates under high-velocity impact

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