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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals