In a paper, which has been recently published in Applied Mathematics and Computations, Khan and Ahmad (2012) [1] 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(n) generated by Young’s modulus for all possible orientations n is illustrated, and some meaningful numerical examples are proposed.

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

CAZZANI, ANTONIO MARIA
2014-01-01

Abstract

In a paper, which has been recently published in Applied Mathematics and Computations, Khan and Ahmad (2012) [1] 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(n) generated by Young’s modulus for all possible orientations n is illustrated, and some meaningful numerical examples are proposed.
2014
Classical linear elasticity; Anisotropy; Bounds on effective properties; Historical mechanics of deformable solids: reprintings of classics; Surfaces in Euclidean space
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/59209
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