An Investigation of Anisotropy off 3D Periodic Cellular Structure Designs

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Yang, Li

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University of Texas at Austin


In the design of periodic cellular structures, there exist various isotropic unit cell designs that possess identical theoretical mechanical properties along three or multiple principal symmetry directions. Although such definition of “isotropy” differs from the traditional definition that is used for solid materials, it is often considered to represent the equivalent design implications in many applications. In this study, the mechanical properties of various 2D and 3D periodic cellular structures under uniaxial stress along different non-principal directions were investigated. The relationships between the cellular unit cell geometries, structural size, loading orientation and the mechanical properties of the cellular structures made of perfect elastic-plastic material were discussed, which provide insights into the future design of cellular structures when utilizing homogenization treatments.


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