VIBRATIONS IN A ROD WITH INTERNAL PERIODIC STRUCTURE

Abstract eng:
Diffusion of an impurity in a periodic lattice structure is investigated. Based on a two-component continuum model, a generalized equation of diffusion in the material is obtained [1]. This allows us to take into account influence of the internal structure of material on its mechanical properties. The diffusion coefficient depends on the lattice strain and its periodic structure. As an example, redistribution of hydrogen in a metal rod under dynamic loading is studied. We use the method of averaging and multi-scale analysis to find the problem solutions [2]. It is shown that a generalized rigidity of the rode decreases substantially with increase of the oscillation frequency (amplitude). The results are compared with experiments on redistribution of hydrogen under deformation of metal samples.

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