Cazzani, Antonio On the true extrema of Young’s modulus in hexagonal materials. (English) Zbl 1334.74012 Appl. Math. Comput. 238, 397-407 (2014). Summary: In [ibid. 219, No. 4, 2260–2266 (2012; Zbl 1291.74025)], R. A. Khan and F. Ahmad deal with the detection of the extrema of Young’s modulus, \(E\), in hexagonal materials.A few issues presented in that paper, which deserve being outlined and thoroughly discussed, are tackled.Moreover, in the case of hexagonal materials, a suitable classification is suggested, an exhaustive panoramic view of the possible shape of the surface \(E(\mathbf{n})\) generated by Young’s modulus for all possible orientations \(\mathbf{n}\) is illustrated, and some meaningful numerical examples are proposed. Cited in 3 Documents MSC: 74B05 Classical linear elasticity 74P05 Compliance or weight optimization in solid mechanics Keywords:classical linear elasticity; anisotropy; bounds on effective properties; historical mechanics of deformable solids: reprintings of classics; surfaces in Euclidean space Citations:Zbl 1291.74025 PDFBibTeX XMLCite \textit{A. Cazzani}, Appl. Math. Comput. 238, 397--407 (2014; Zbl 1334.74012) Full Text: DOI References: [1] Khan, R.; Ahmad, F., Extrema of Young’s modulus in hexagonal materials, Appl. Math. Comput., 219, 2260-2266 (2012) · Zbl 1291.74025 [2] Barré de Saint-Venant, A.-J.-C., Mémoire sur la distribution des élasticités autour de chaque point d’un solide ou d’un milieu de contexture quelconque, particulièrement lorsqu’il est amorphe sans être isotrope (Premier article), J. Math. Pures Appl. 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