2010 | OriginalPaper | Buchkapitel
Nonlinear Theory of Cardinal Rearrangement of the Solid Body Structure in the Field of Intensive Pressure
verfasst von : Eron L. Aero, A. N. Bulygin
Erschienen in: Mechanics of Generalized Continua
Verlag: Springer New York
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A nonlinear theory of microscopic and macroscopic strains is developed for the case of large inhomogeneous relative displacements of two sublattices making up a complex crystal lattice. The standard linear theory of acoustic and optical oscillations of a complex lattice is generalized, taking into account new additive principle of internal translational symmetry—relative shear of two sublattices leaving deformation energy invariant. As a result, the force interaction between the sublattices is characterized by a nonlinear periodic force of its mutual displacements. The theory describes large microdisplacements due to bifurcation transitions of atoms into neighboring cells. As a result, the theory predicts defect formations, switching interatomic bonds, phase transitions, formation of nanoclasters, etc. Some examples of resolutions of nonlinear equations of equilibrium are presented.