physica status solidi (b) · 2008 · 74 citations · 26 references
Natural SciencesMaterials EngineeringMaterials ScienceComputational Structural AnalysisMechanical Behavior Of MaterialsStructural MaterialsBending Of BeamsCellular MechanicsContinuum MechanicsElasticity TheoryAuxetic StructuresBuckling Load PredictionLinear Elastic AnalysisLinear Elastic BehaviorNonlinear Continuum MechanicsUnit Cell GeometryUnit Cell ParametersValidation Of Finite Element Models
Abstract The mechanical properties of cellular tubular structures made of centresymmetric cells are evaluated using analytical and numerical simulations. A theoretical model based on bending stiffness of the single ribs composing the unit cell of the tubes is developed, providing estimations for the Poisson's ratios and uniaxial stiffness of the tubular grid‐like structures, as well as their Eulerian buckling load. Full 3D Finite Element models in linear elastic regime are used to validate the theoretical results. A continuum nonlinear tube bending model is also presented to show the dependence of the curvature‐bending moment versus the Poisson's ratio of the core. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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Foam Structures with a Negative Poisson's Ratio
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