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Institute of Problems of Mechanical Engineering,
Russian Academy of Sciences, Saint-Petersburg, 199178.
e-mail: aero@microm.ipme.ru
| Essentially nonlinear theory of two dimensional lattice subjected to intensive shear is presented. Two branches of deformations (acoustic and pseudo optical) are considered. The deformation energy is shown to consist of periodic and gradient terms. The equilibrium equation in the sine-Helmholtz form is exactly solved. It demonstrates some effects of bifurcations. he first, when homogeneous macrodeformation is transformed to nonhomogeneous one and some superstructure with great periods and new translation order is formed. The second bifurcation divides two deformed states-elastic and elastoplastic one when the nearest atomic order is altered and new modification of crystalline lattice is formed. Some criteria of local and global structure stability are established. |
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