SOME MISUNDERSTANDINGS ON ROTATION OF CRYSTALS AND REASONABLE PLASTIC STRAIN RATE  

作　　者：ZHAO Zu-wu(赵祖武) 

机构地区：[1]Department of Mechanics, Tianjin University, Tianjin 300072, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第1期89-95,共7页应用数学和力学（英文版）

摘　　要：It is pointed out that crystals are discrete but not continuous materials. Hence the rotation R in decomposition F = RU and spin TY in (F) over dot F-1 ore not correct. Errors will arise in plastic deformation rare if it is directly expressed with amounts of velocity of slips in glide systems such as (gamma) over dot upsilon circle times n. The geometrical figure of crystal lattices does nor change after slips and based on this idea a simple way in mechanics of continuous media to get the plastic deformations rare 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 TY in (F) over dot F-1 ore not correct. Errors will arise in plastic deformation rare if it is directly expressed with amounts of velocity of slips in glide systems such as (gamma) over dot upsilon circle times n. The geometrical figure of crystal lattices does nor change after slips and based on this idea a simple way in mechanics of continuous media to get the plastic deformations rare induced by slips is proposed. Constitutive equations are recommended.

关 键 词：finite strain ROTATION MISUNDERSTANDING POLYCRYSTALS plastic deformation rate 

分 类 号：O344.3[理学—固体力学]