Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (1): 89-95.

• 论文 • 上一篇    下一篇

SOME MISUNDERSTANDINGS ON ROTATION OF CRYSTALS AND REASONABLE PLASTIC STRAIN RATE

赵祖武   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • 收稿日期:2000-02-22 修回日期:2000-09-20 出版日期:2001-01-18 发布日期:2001-01-18
  • 通讯作者: ZHAO Zu-wu,Member of Editorial Committee,AMM

SOME MISUNDERSTANDINGS ON ROTATION OF CRYSTALS AND REASONABLE PLASTIC STRAIN RATE

ZHAO Zu-wu   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • Received:2000-02-22 Revised:2000-09-20 Online:2001-01-18 Published:2001-01-18

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 γv Θn. 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.

Abstract: 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 γv Θn. 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.

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