Micropolar modeling of planar orthotropic rectangular chiral lattices

Yi Chen; Xiaoning Liu; Gengkai Hu

doi:10.1016/j.crme.2014.01.010

Micropolar modeling of planar orthotropic rectangular chiral lattices

Yi Chen ¹; Xiaoning Liu ¹ ; Gengkai Hu ¹

¹ Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Comptes Rendus. Mécanique, Frontiers of micro and nanomechanics of materials: Soft or amorphous matter, surface effects, Volume 342 (2014) no. 5, pp. 273-283.

Abstract

Rectangular chiral lattices possess a two-fold symmetry; in order to characterize the overall behavior of such lattices, a two-dimensional orthotropic chiral micropolar theory is proposed. Eight additional material constants are necessary to represent the anisotropy in comparison with triangular ones, four of which are devoted to chirality. Homogenization procedures are also developed for the chiral lattice with rigid or deformable circles, all material constants in the developed micropolar theory are derived analytically for the case of the rigid circles and numerically for the case of the deformable circles. The dependences of these material constants and of wave propagation on the microstructural parameters are also examined.

Received: 2013-05-04
Accepted: 2013-11-11
Published online: 2014-05-01

DOI: 10.1016/j.crme.2014.01.010

Mots-clés : Chiral micropolar elasticity, Orthotropic, Rectangular chiral lattice, Two-dimensional

Author's affiliations:

Yi Chen ¹; Xiaoning Liu ¹; Gengkai Hu ¹

¹ Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

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     author = {Yi Chen and Xiaoning Liu and Gengkai Hu},
     title = {Micropolar modeling of planar orthotropic rectangular chiral lattices},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {273--283},
     publisher = {Elsevier},
     volume = {342},
     number = {5},
     year = {2014},
     doi = {10.1016/j.crme.2014.01.010},
     language = {en},
}

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Yi Chen; Xiaoning Liu; Gengkai Hu. Micropolar modeling of planar orthotropic rectangular chiral lattices. Comptes Rendus. Mécanique, Frontiers of micro and nanomechanics of materials: Soft or amorphous matter, surface effects, Volume 342 (2014) no. 5, pp. 273-283. doi : 10.1016/j.crme.2014.01.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.01.010/

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