Acoustic identification of nanocrystalline media

Auxetic Properties of Chiral Hexagonal Cosserat Lattices Composed of Finite‐Sized Particles

“…Auxetic properties arise in these lattices due to rotational degrees of freedom and the special topology of cells. Nonchiral hexagonal lattices composed of finite‐sized particles with symmetric connections have been discussed earlier . In this article, we introduce asymmetric connections.…”

“…This approach has played a significant role in the development of both classical and generalized mechanics of continuous media. We used this approach for studying the Cosserat lattice dynamic . As distinct from the phenomenological models of generalized continua, the continuum models elaborated on the basis of the structural models contain the microstructure parameters.…”

“…Nonchiral hexagonal lattices composed of finite-sized particles with symmetric connections have been discussed earlier. [21][22][23] In this article, we introduce asymmetric connections. As a result, the lattice microstructure becomes chiral and, as it will be shown later, the lattice possesses auxetic properties for some values of the microparameters.…”

“…We used this approach for studying the Cosserat lattice dynamic. [21][22][23] As distinct from the phenomenological models of generalized continua, the continuum models elaborated on the basis of the structural models contain the microstructure parameters. The relations between the structure of the lattice and the macroparameters open up the possibility of purposeful design of materials with desired properties.…”

A discrete model and analysis of one-dimensional deformations in a structural interface with micro-rotations

“…Generalized continuum models have been developed for studying essential phenomena in structural solids that cannot be captured by the classical ones. For example, rotational degrees of freedom are incorporated in the micropolar theory (Cosserat and Cosserat, 1909;Eringen, 1968;Kim and Pizialy, 1987;Limat, 1988;Suiker et al, 2001;Pasternak and Muhlhaus, 2005;Pavlov et al, 2006;Potapov et al, 2009), higher-gradient effects are taken into account in the gradient theories (historical overview, discussion of models, recent studies and results can be found in Askes and Aifantis, 2011), the multi-field theory is developed in order to describe short-wavelength structural effects (see the review in Vasiliev et al, 2010b). For interfaces with a beam-like microstructure or when the finite size of particles is taken into account, not only translational dis-placements but also micro-rotations may be important for the analysis.…”