Two-dimensional dynamic model of nanocrystalline environment with hexagonal symmetry | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 12 > №4 / 2006 / Pages: 555-565

Two-dimensional dynamic model of nanocrystalline environment with hexagonal symmetry

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Abstract:

Currently, to adequately describe the physical and mechanical properties of nanocrystalline environments there is a need to construct mathematical models which take into account the structure of the discrete nature of the substance, the additional degree of freedom and geometrical characteristics of the particles. Such models provide opportunities to identify the relationship between the effective elastic modulus and internal structure of the parameters of the medium. It can be done using an approach based on the representation of non-point environment interacting particle system. Wednesday seems like a regular lattice in which the sites are located the body of finite size. Unlike points, body possess not only the translational, and rotational (rotary) degrees of freedom, which significantly extends the capabilities of the modeling. In [5,6] such models were considered for the problems of static deformation of nanostructures. In this paper, we discuss the two-dimensional dynamic model of nanocrystalline environment, which is a hexagonal lattice of the hard round particles with two translational and one rotational degrees of freedom. The main objectives of the work are to obtain the equations of motion and identify the relationship between the physical and mechanical properties of nanocrystalline environment and parameters of its internal structure.

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