Nonlinear dynamic variations in internal structure of a complex lattice
Abstract
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.
Supporting agencies: The work has been supported by the Russian Foundation for Basic Researches, projects No. 09-01-00469a and 10-01-00243-a.
About the Authors
A. V. Porubov
Institute for Problems in Mechanical Engineering of RAS
Russian Federation
Russian Federation
Saint Petersburg
B. R. Andrievsky
Institute for Problems in Mechanical Engineering of RAS
Russian Federation
Russian Federation
Saint Petersburg
Review
For citations:
Porubov A.V., Andrievsky B.R. Nonlinear dynamic variations in internal structure of a complex lattice. Nanosystems: Physics, Chemistry, Mathematics. 2011;2(3):65-70.
Views:
2
Email this article 