In the present contribution anisotropic structure of two-dimensional linear Cosserat elasticity is investigated. The symmetry classes this model are derived and detailed in a synthetic way. Particular attention paid to specific features Elasticity which sensitivity non-centrosymmetry as well chirality. These aspects important for application continuum theory mechanical modelling lattices metama...

The symmetry classes of a linear constitutive law define the different types anisotropy that can be modelled by it. However, spaces materials are very rich and whole range intermediate possibilities exists beyond classes. Geometric methods developed to characterise in fine way allow these detected. Materials with non-standard anisotropic properties associated called exotic materials. In this pa...

Abstract This article is devoted to the optimal design of microstructure in composite materials, which are governed by equations linear elasticity. To this end, we combine homogenization with shape optimization. In particular, determine sensitivity homogenized coefficients elasticity tensor respect periodic also case spatially varying material coefficients. We compute respective Hadamard gradie...