In this work, material symmetries in homogenized composites are analyzed. Composite materials are described as materials made of rigid particles and elastic interfaces. Rigid particles of arbitrary hexagonal shape are considered and their geometry described by a limited set of parameters. The purpose of this study is to analyze different geometrical configurations of the assemblies corresponding to various material symmetries such as orthotetragonal, auxetic and chiral. The problem is investigated through a homogenization technique which is able to carry out constitutive parameters using a principle of energetic equivalence. The constitutive law of the homogenized continuum has been derived within the framework of Cosserat elasticity, wherein the continuum has additional degrees of freedom with respect to classical elasticity. A panel composed of material with various symmetries, corresponding to some particular hexagonal geometries defined, is analyzed under the effect of localized loads. The results obtained show the difference of the micropolar response for the considered material symmetries, which depends on the non-symmetries of the strain and stress tensor as well as on the additional kinematical and work-conjugated statical descriptors. This work underlines the importance of resorting to the Cosserat theory when analyzing anisotropic materials.

Material symmetries in homogenized hexagonal-shaped composites as cosserat continua / Fantuzzi, N.; Trovalusci, P.; Luciano, R.. - In: SYMMETRY. - ISSN 2073-8994. - 12:3(2020), p. 441. [10.3390/sym12030441]

Material symmetries in homogenized hexagonal-shaped composites as cosserat continua

Trovalusci P.
;
2020

Abstract

In this work, material symmetries in homogenized composites are analyzed. Composite materials are described as materials made of rigid particles and elastic interfaces. Rigid particles of arbitrary hexagonal shape are considered and their geometry described by a limited set of parameters. The purpose of this study is to analyze different geometrical configurations of the assemblies corresponding to various material symmetries such as orthotetragonal, auxetic and chiral. The problem is investigated through a homogenization technique which is able to carry out constitutive parameters using a principle of energetic equivalence. The constitutive law of the homogenized continuum has been derived within the framework of Cosserat elasticity, wherein the continuum has additional degrees of freedom with respect to classical elasticity. A panel composed of material with various symmetries, corresponding to some particular hexagonal geometries defined, is analyzed under the effect of localized loads. The results obtained show the difference of the micropolar response for the considered material symmetries, which depends on the non-symmetries of the strain and stress tensor as well as on the additional kinematical and work-conjugated statical descriptors. This work underlines the importance of resorting to the Cosserat theory when analyzing anisotropic materials.
2020
Anisotropic media; Cosserat theory; Homogenization/coarse graining; Micropolar theory
01 Pubblicazione su rivista::01a Articolo in rivista
Material symmetries in homogenized hexagonal-shaped composites as cosserat continua / Fantuzzi, N.; Trovalusci, P.; Luciano, R.. - In: SYMMETRY. - ISSN 2073-8994. - 12:3(2020), p. 441. [10.3390/sym12030441]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1382793
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