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Archive of Applied Mechanics

, Volume 84, Issue 9–11, pp 1533–1538 | Cite as

Modeling of strongly nonlinear effects in diatomic lattices

  • Alexey PorubovEmail author
Special Issue
First Online:

Abstract

A previously developed strongly nonlinear continuum model for diatomic crystals is examined using continuum limit of a discrete diatomic model. It suggested suitable expression for the forces in the discrete model; however, its continuum limit not only explains the nonlinear terms continuum model but also gives rise to some additional terms. It turns out that one of them supports bell-shaped localized variations in the diatomic material but suppresses kink-shaped variations.

Keywords

Diatomic lattice Continuum limit Nonlinear equation Traveling wave solution Localized strain wave 
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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institute of Problems in Mechanical EngineeringSaint-PetersburgRussia
  2. 2.St. Petersburg State Polytechnical UniversitySt. PetersburgRussia

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