Abstract: The interscction between mechanics and material sciences is a new trend of the development of mechanics at the present time.Accompanying the rescarch and devclopment of advanced materials, the interests have been strongly shown by the experts working in the field of solid mechanics in the quantitative description for the process of the deformation and the damage of various micro-structures of the materials. In this paper, three new subjects on the intersection of solid mechanics and material scicnces ar...