Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking: Part I: Development

Abstract

Abstract3D failure criteria for laminated fibre-reinforced composites, based on a physical model for each failure mode and considering nonlinear matrix shear behaviour, are developed. Special emphasis is given to compression failure. The physical model for matrix compression failure is based on the Mohr-Coulomb criterion and also predicts the fracture angle. For fibre kinking, an initial fibre-misalignment angle is considered to trigger failure, due to further rotation during the compressive loading. The plane where the kinking takes place is predicted by the model, as well as the kink-band angle. Applications are presented that validate the model against experimental data.

Modelling of strain rate effects on matrix dominated elastic and failure properties of unidirectional fibre-reinforced polymer–matrix composites

“…Advanced phenomenological-based matrix failure criteria for 3D QS failure analysis of UD composites have been recently formulated by Pinho et al [21] based on previous work by Puck [31], Puck and Schurmann [32] and by Davila et al [20]. The latest matrix failure criteria form the basis of the research work presented in this and in the next Section 2.4.…”

“…These classes of criteria, which can be also expressed in terms of the stress invariants [17], implicitly assume a perfectly aligned fibre arrangement. Phenomenological-based expressions have been proposed for predicting the pure longitudinal compressive failure strength from shear strength, and assume an initial fibre misalignment [18], [19], [20], [21]. In the latest and most advanced interactive criteria for fibre compressive failure [20], [21], the fibre-misalignment angle is required as an input material property, whose value may encompass anything from an actual fibre-misalignment to structural defects, oscillations in fibre volume fraction, matrix cracks etc.…”

“…In the latest and most advanced interactive criteria for fibre compressive failure [20], [21], the fibre-misalignment angle is required as an input material property, whose value may encompass anything from an actual fibre-misalignment to structural defects, oscillations in fibre volume fraction, matrix cracks etc. [21]. Thus, these criteria offer a good match with the experimental failure envelopes only when their calibration is carried out with some form of data-fitting.…”

An algorithm for determination of the fracture angle for the three-dimensional Puck matrix failure criterion for UD composites

“…In order to simplify the application of the failure model, Puck proposed pragmatic solutions for some of the parameters in [4]. As the theory was ranked very highly in the World Wide Failure Exercise (WWFE) [5,6] the model attracted additional attention and further development was undertaken by Davila and Camanho [7], Pinho et al [8] and Greve and Pickett [9]. …”

A phantom node formulation with mixed mode cohesive law for splitting in laminates

“…These strength criteria can be used in progressive failure analysis, when they are extended with material degradation laws. For this purpose, several continuum damage models have been developed (e.g., Lapczyk and Hurtado 2007;Laurin et al 2007;Maimí et al 2007;Matzenmiller et al 1995;Pinho et al 2006). However, it can be doubted whether the continuum models are suitable to capture the particular phenomenon of splitting correctly (van der Meer and Sluys 2009).…”