Abstract
It is pointed out that crystals are discrete but not continous materials. Hence the rotationR in decompositionF=RU and spinW inḞF -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\(\dot \gamma \nu \otimes n\). The geometrical figure of crystal lattices does not change after slips and based on this idea a simple way in mechanics of continous media to get the plastic deformations rate induced by slips is proposed. Constitutive equations are recommended.
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Paper from ZHAO Zu-wu, Member of Editorial Committe, AMM
Biography: ZHAO Zu-wu (1919-), Professor
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Zu-wu, Z. Some misunderstandings on rotation of crystals and reasonable plastic strain rate. Appl Math Mech 22, 89–95 (2001). https://doi.org/10.1007/BF02437947
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DOI: https://doi.org/10.1007/BF02437947