Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate
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摘要: 指出晶体是离散的而不是连续的材料,因此在极分解F=RU中的旋转R及F>F-1中的旋率W不是正确的。塑性变形速度若直接以滑移系中的滑移速度来表示,如γ>ν≠n,则差错将会产生。滑移后的晶格几何形状并不改变,基于此概念提出了连续介质力学范围内的一个简单途径来表达滑移产生的塑性应变速度。建议了大变形下的本构方程。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.
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Key words:
- finite strain /
- rotation /
- misunderstanding /
- polycrystals /
- plastic deformation rate
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