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KIAM Preprint № 68, Moscow, 2006
Authors: Pustyl'nikov L. D., Malyshev V.A.
One-dimensional model of crystal extension
The model of crystals is constructed in which the effect of the extension under a heating or loading takes place. The main idea is a possibility to go far from the equilibrum position, if the particles can not penetrate one through another. The typical example of particles interaction is the Lennard--Djons potential. The dynamic of one-dimensional, planar and spatial rod, given by infinite-dimensional hamiltonian systems is studed. Families of periodic solutions of these system having the effect of extension are constructed.
Publication language: russian
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Pustyl'nikov L. D.,  KIAM RAS
  • Malyshev V.A.