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Journal articles

Visualising elastic anisotropy: theoretical background and computational implementation

Abstract : In this article, we present the technical realisation for visualisations of characteristic parameters of the fourth-order elasticity tensor, which is classified by three-dimensional symmetry groups. Hereby, expressions for spatial representations of YOUNG’s modulus and bulk modulus as well as plane representations of shear modulus and POISSON’s ratio are derived and transferred into a comprehensible form to computer algebra systems. Additionally, we present approaches for spatial representations of both latter parameters. These three- and two-dimensional representations are implemented into the software MATrix LABoratory. Exemplary representations of characteristic materials complete the present treatise.
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https://hal.archives-ouvertes.fr/hal-03280455
Contributor : Marcus Aßmus Connect in order to contact the contributor
Submitted on : Wednesday, July 7, 2021 - 12:54:33 PM
Last modification on : Thursday, July 8, 2021 - 3:02:46 AM

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Joachim Nordmann, Marcus Aßmus, Holm Altenbach. Visualising elastic anisotropy: theoretical background and computational implementation. Continuum Mechanics and Thermodynamics, Springer Verlag, 2018, 30 (4), pp.689-708. ⟨10.1007/s00161-018-0635-9⟩. ⟨hal-03280455⟩

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