Until now, the physics of the strength and plasticity of metals usually uses the phenomenon of high stability of an ideal crystal lattice under the influence of small shear deformation. In this paper, the instable model of crystal lattice for the description of the solid body's plasticity is used. On the two-dimentional model of the crystal it was shown that the crystal lattice of infinite size can be unstable under influence of small shear deformation in specific conditions. It was found that the cause of this are, the first, potential geometry of the interatomic interaction and, the second, value of thermal energy of atoms. In case of using the spherically symmetric potential for computer modelling crystal lattice the repulsive forces arise between the atoms and their nearest neighbours, which balanced by the attractive forces between atoms and their secondary neighbours. Such crystal lattice is unstable, when its thermal energy atoms is zero or very small. The increase of thermal energy can change it to the stable one.
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