Analytical probabilistic modeling of initial failure and reliability of laminated composite structures (Q1282656)

We develop an analytical approach based on the theory of stochastic processes for the stochastic initial failure analysis and reliability predictions of thin-walled laminated composite structures. The probability of initial failure is calculated using theory of rare passages of the random strain vector field out of the prescribed region of allowable states. The region is limited by the ultimate strain surfaces adopted for each individual layer in the laminate. The surfaces, in turn, are defined in terms of the scatterers in the ultimate strains for the composite layer. Reliability function of a composite layer having random elastic characteristics and loaded with random inplane tractions is determined through the probability of its initial failure. The reliability function of the laminated composite structure is then calculated through the failure probabilities of individual layers, using the weakest link model. Applications of the developed approach are illustrated on the examples of laminated composite cylindrical shells under random internal pressure, and laminated composite plates under random biaxial loading.