Due to the heterogeneity in their microstructure composite materials exhibit considerablespatial variations in properties, which strongly impact their mechanical performance,cause variability in stress and strain fields, and influence evolution of damagein the material. Recent research has focused on considering material behavioruncertainties and quantifying the impact on the structural response.In this paper eXtended Finite Element Method (XFEM) and Continuum DamageMechanics (CDM) models are employed for damage modeling in composite materials,where variations of material strength are taken into account using spatial randomfields to model the material strength parameters. Using samples of the property fields,Monte Carlo (MC) and Quasi Monte Carlo (QMC) techniques are utilized to quantifythe influence of strength variability on the structural response. As MC technique canbecome prohibitively expensive, research using MC technique for stochastic modelanalysis in composite structures is sparse. QMC technique has been shown to providefaster convergence compared to MC method, hence reducing the computationalexpense, though application to composite analysis has not been found.The current methodology allows examination of the stochastic progressive damagebehavior of composite materials. The influence of input variability on the meancrack length in open hole angle-ply tensile tests is examined using MC and QMCtechniques, and the convergence behavior of the methods is compared. The resultsshow faster convergence when using QMC.
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