Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate

ZHAO Zu-wu

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ZHAO Zu-wu. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate[J]. Applied Mathematics and Mechanics, 2001, 22(1): 79-84.

Citation:

ZHAO Zu-wu. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate[J]. Applied Mathematics and Mechanics, 2001, 22(1): 79-84.

Citation:

ZHAO Zu-wu. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate[J]. Applied Mathematics and Mechanics, 2001, 22(1): 79-84.

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Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate

ZHAO Zu-wu

Department of Mechanics, Tianjin University, Tianjin 300072, P R China

Received Date: 2000-02-22
Rev Recd Date: 2000-09-20
Publish Date: 2001-01-15

Abstract

Abstract

It is pointed out that crystals are discrete but not continuous materials.Hence the rotation R in decomposition F=RU and spin Win R F>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 γ>ν≠n. 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.
- finite strain,
- rotation,
- misunderstanding,
- polycrystals,
- plastic deformation rate

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References(28)

References

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