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On the true extrema of Young’s modulus in hexagonal materials. (English) Zbl 1334.74012

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.

MSC:

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

Citations:

Zbl 1291.74025
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References:

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