Non-standard dynamics of elastic composites | Zendy

Maksym Berezhnyi | Zendy; E. Ya. Khruslov | Zendy

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Non-standard dynamics of elastic composites

Author(s) -

Maksym Berezhnyi,

E. Ya. Khruslov

Publication year - 2011

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2011.6.89

Subject(s) - axial symmetry , tensor (intrinsic definition) , symmetry (geometry) , rotation (mathematics) , dynamics (music) , cauchy stress tensor , rotational symmetry , strain rate tensor , classical mechanics , infinitesimal strain theory , viscous stress tensor , physics , mathematical analysis , mechanics , mathematics , geometry , quantum mechanics , acoustics , phase (matter)

An elastic medium with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of elastic medium they move translationally or rotate around symmetry axis but the direction of their symmetry axes does not change. The asymptotic behavior of small oscillations of the system is studied, when the diameters of particles and distances between the nearest particles are decreased. The equations, describing the homogenized model of the system, are derived. It is shown that the homogenized equations correspond to a non-standard dynamics of elastic medium. Namely, the homogenized stress tensor linearly depends not only on the strain tensor but also on the rotation tensor.

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