NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2011, 2 (3), P. 65–70
NONLINEAR DYNAMIC VARIATIONS IN INTERNAL STRUCTURE
OF A COMPLEX LATTICE
A.V. Porubov – Institute for Problems in Mechanical Engineering (IPME RAS), Saint Petersburg, Russia, alexey.porubov@gmail.com
B.R. Andrievsky – Institute for Problems in Mechanical Engineering (IPME RAS), Saint Petersburg, Russia
Essentially nonlinear model of a crystalline bi-atomic lattice described by coupled nonlinear equations, is considered. Its nonlinear wave solutions account for dynamic variations in an internal structure of the lattice due to an influence of a dynamic loading. Numerical simulations are performed to study evolution of a kink-shaped dynamic variations in an internal structure of the lattice. Special attention is paid on the transition from kink-shaped to bell-shaped variations. It is shown how predictions of the known exact traveling wave solutions may help in understanding and explanation of evolution of localized waves of permanent shape and velocity in numerical solutions.
Keywords: bi-atomic lattice, numerical simulations
UDC 539.3
PACS 46.25.Cc, 68.35.Rh