Tham khảo tài liệu 'computational mechanics of composite materials part 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Fracture and Fatigue Analysis of Composites 285 Concluding Remarks The whole variety of mathematical and computational tools shown above makes it possible to analyse efficiently ordinary and cumulative deterministic and stochastic fatigue processes in different composite materials. Some local and global models are mentioned and the deterministic or stochastic techniques together with the approaches which enable randomisation of classical deterministic techniques to obtain at least the first two probabilistic moments of the structural response. For this purpose most established composite oriented fatigue theories are classified and listed here. Next the application of the perturbation-based SFEM has been demonstrated for various aspects of the fatigue process computational modelling to the W -SOTM reliability analysis starting from direct FEM simulation in conjunction with fracture phenomena. An alternative computational technique MCS is shown using the example of homogenisation analysis for a fibre-reinforced composite with stochastic interface defects simulating interface fatigue. Most of the computational illustrations presented above show which is intuitively clear that the expected values of structural functions decrease together with fatigue process progress. In the same time the second order probabilistic characteristics standard deviations variances or coefficients of variation increase together with the increase of fatigue cycle number which means that the random uncertainty measure is increasing during the entire process. The probabilistic modelling of composite materials fatigue processes summarised and proposed in this chapter is still an open question due to the fact that the area of composite material applications as well as the relevant technologies is still extending and because of the developments of the stochastic mechanics itself. The stochastic second or higher order perturbation theory for various problems shown above is very fast in .
