VITESPO - Virtual testing of safety and reliability of structures Objective modelling of structural safety and reliability requires the application of advanced nonlinear methods based on fracture mechanics. Utilization of these methods in praxis is very difficult without an appropriate safety concept. The project objective is to develop numerical methods and algorithms for effective synthesis of nonlinear and probabilistic methods. Existing nonlinear solutions of the applicants will be extended for effective simulation of large scale problems utilizing iterative solvers, methods of multiscale modelling and Grid technologies. The method of stochastic finite elements within the framework of the finite elemement analysis models the probability of input parameters at two levels: random variables or random fields. Methods of stochastic simulation and neural networks will be also used for identification of material parameters.