Simulations of delamination in CFRP laminates: Effect of microstructural randomness

Abstract Due to their high specific strength and stiffness, fibre-reinforced composite materials are being increasingly used in structural applications where a high level of performance is important (e.g. aerospace, automotive, offshore structures, etc.). Performance in service of these composites is affected by multi-mechanism damage evolution under loading and environmental conditions. For instance, carbon fibre-reinforced laminates demonstrate a wide spectrum of failure mechanisms such as matrix cracking and delamination. These damage mechanisms can result in significant deterioration of the residual stiffness and load-bearing capacity of composite components and should be thoroughly investigated. The delamination failure mechanism is studied in this paper for a double cantilever beam (DCB) loaded in mode I. Several sensitivity studies are performed to analyse the effects of mesh density and of parameters of the cohesive law on the character of damage propagation in laminates. The microstructural randomness of laminates that is responsible for non-uniform distributions of stresses in them even under uniform loading conditions is accounted for in the model. The random properties are introduced with the use of Weibull’s two-parameter probability density function. Several statistical realisations are carried out which show that the effect of microstructure could significantly affect the macroscopic response emphasizing the need to account for microstructural randomness for accurate predictions of load-carrying capacity of laminate composite structures.

[1]  D. Jeulin,et al.  Fracture statistics of a unidirectional composite , 1995 .

[2]  Pedro P. Camanho,et al.  An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models , 2007 .

[3]  Hisao Fukunaga,et al.  Probabilistic Failure Strength Analyses of Graphite/Epoxy Cross-Ply Laminates , 1984 .

[4]  Jorge E. Hurtado,et al.  Random models versus periodic models for fibre reinforced composites , 2006 .

[5]  V. Silberschmidt Effect of micro-randomness on macroscopic properties and fracture of laminates , 2006 .

[6]  A. Needleman An analysis of tensile decohesion along an interface , 1990 .

[7]  Michele Meo,et al.  Delamination modelling in a double cantilever beam , 2005 .

[8]  A. Needleman A Continuum Model for Void Nucleation by Inclusion Debonding , 1987 .

[9]  V. Silberschmidt Matrix cracking in cross-ply laminates: effect of randomness , 2005 .

[10]  J. G. Williams,et al.  The use of a cohesive zone model to study the fracture of fibre composites and adhesively-bonded joints , 2003 .

[11]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[12]  Asd Wang,et al.  A Stochastic Model for the Growth of Matrix Cracks in Composite Laminates , 1984 .

[13]  C. Sun,et al.  Prediction of composite properties from a representative volume element , 1996 .

[14]  J. G. Williams,et al.  The failure of fibre composites and adhesively bonded fibre composites under high rates of test , 1995 .

[15]  J. Qu,et al.  Damage initiation under transverse loading of unidirectional composites with arbitrarily distributed fibers , 1999 .

[16]  V. Silberschmidt SCALING AND MULTIFRACTAL CHARACTER OF MATRIX CRACKING IN CARBON FIBRE-REINFORCED CROSS-PLY LAMINATES , 1995 .

[17]  Shuguang Li,et al.  General unit cells for micromechanical analyses of unidirectional composites , 2001 .