Stochastic nonlinear fracture mechanics finite element analysis of concrete structures

The paper summarizes the main outcomes achieved within the framework of the research project “Nonlinear fracture mechanics of concrete using stochastic finite elements and random fields”. The project focused on randomization of nonlinear finite element analysis of concrete structures. Theoretical as well as practical application aspects are presented emphasizing the conceptual framework and key points of the solution. Efficient techniques of both nonlinear numerical analysis of concrete structures and stochastic simulation methods of Monte Carlo type have been combined in order to offer an advanced tool for the assessment of the real behavior of concrete structures from statistical and reliability points of view.