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This paper suggests the asymmetric-plastic theory of crystalline solidsconcerning the plastic rotation of crystal.The deformation of crystalline solidsundergoes three microprocesses:lattice distortion,slip over active crystallographicplanes and the rotation of the crystal.In the asymmetric-plastic theory of crystalsuggested,the corotational rates of symmetric Cauchy stress and moment stresscorrespond to the rates of elastic strain and the gradient of the rotational rate of thecrystal respectively.The Schmid yield condition and Prager’s consistency conditionincorporating antisymmetric stress are formulated.Then the asymmetric-plastic modelof crystalline solids is applied for the investigation of the onset of kink band by astandard stability analysis.The orientation of the kink band is perpendicular to theprimary slip system.The width of the kink band is the function of the“characteristiclength”of the microstructure of metal materials.
This paper suggests the asymmetric-plastic theory of crystalline plasticconcerning the plastic rotation of crystal. The deformation of crystalline solidsundergoes three microprocesses: lattice distortion, slip over active crystallographicplanes and the rotation of the crystal. The asymmetric-plastic theory of crystalsuggested, the corotational. rates of symmetric Cauchy stress and moment stresscorrespond to the rates of elastic strain and the gradient of the rotational rate of the crystal respectively. The Schmid yield condition and Prager’s consistency conditionincorporating antisymmetric stress are formulated.Then the asymmetric-plastic model of crystalline solids is applied for the investigation of the onset of kink band by a standard of stability analysis. The orientation of the kink band is perpendicular to the primary slip system. The width of the kink band is the function of the “characteristiclength” of the microstructure of metal materials.