This volume is dedicated to the sixtieth birthday of Prof. Alexey Porubov and contains a selection of scientific papers prepared by papers by his friends and colleagues from different countries. It is devoted to actual research in dynamics considering discrete and continuum models of continuum and structures. It includes microstructures modeling the behavior of materials and offers new theoretical approaches in dynamics with applications. There has been rapid development in the field of continuum mechanics in recent years. This has led to new theoretical concepts, e.g., better inclusion of the microstructure in the models describing material behavior. At the same time, there are also more applications for the theories in engineering practice. The book gives a new insight into the current developments.