On the true extrema of Young's modulus in hexagonal materials

DOI10.1016/j.amc.2014.04.012zbMath1334.74012OpenAlexW2046310997MaRDI QIDQ275215

Antonio Cazzani

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.012

zbMATH Keywords

anisotropysurfaces in Euclidean spacebounds on effective propertiesclassical linear elasticityhistorical mechanics of deformable solids: reprintings of classics

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Compliance or weight optimization in solid mechanics (74P05)

Related Items (3)

``Fast and ``slow pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal ⋮ Elastic properties of solid material with various arrangements of spherical voids ⋮ A note on the computation of the extrema of Young's modulus for hexagonal materials: an approach by planar tensor invariants

Cites Work

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• On the strong ellipticity for orthotropic micropolar elastic bodies in a plane strain state
• On the strong ellipticity of the anisotropic linearly elastic materials
• On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
• Symmetry classes for elasticity tensors
• Extrema of Young's modulus for cubic and transversely isotropic solids.
• Extrema of Young's modulus in hexagonal materials
• Extrema of Young's modulus for elastic solids with tetragonal symmetry
• Eigenvectors of a rotation matrix
• Poisson's ratio in cubic materials

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