摘要
It is pointed out that crystals are discrete but not continuous materials. Hence the rotation R in decomposition F=RU and spin W in F -1 are not correct. Errors will arise in plastic deformation rate if it is directly expressed with amounts of velocity of slips in glide systems such as vn. The geometrical figure of crystal lattices does not change after slips and based on this idea a simple way in mechanics of continuous media to get the plastic deformations rate induced by slips is proposed. Constitutive equations are recommended.
It is pointed out that crystals are discrete but not continuous materials. Hence the rotation R in decomposition F=RU and spin W in F -1 are not correct. Errors will arise in plastic deformation rate if it is directly expressed with amounts of velocity of slips in glide systems such as vn. The geometrical figure of crystal lattices does not change after slips and based on this idea a simple way in mechanics of continuous media to get the plastic deformations rate induced by slips is proposed. Constitutive equations are recommended.
出处
《应用数学和力学》
CSCD
北大核心
2001年第1期79-84,共6页
Applied Mathematics and Mechanics
