Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-11651
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Main Title: Distances of stiffnesses to symmetry classes
Author(s): Stahn, Oliver
Müller, Wolfgang H.
Bertram, Albrecht
Type: Article
Language Code: en
Abstract: For a given elastic stiffness tetrad an algorithm is provided to determine the distance of this particular tetrad to all tetrads of a prescribed symmetry class. If the particular tetrad already belongs to this class then the distance is zero and the presentation of this tetrad with respect to the symmetry axes can be obtained. If the distance turns out to be positive, the algorithm provides a measure to see how close it is to this symmetry class. Moreover, the closest element of this class to it is also determined. This applies in cases where the tetrad is not ideal due to scattering of its measurement. The algorithm is entirely algebraic and applies to all symmetry classes, although the isotropic and the cubic class need a different treatment from all other classes.
URI: https://depositonce.tu-berlin.de/handle/11303/12851
http://dx.doi.org/10.14279/depositonce-11651
Issue Date: 23-Jul-2020
Date Available: 18-Mar-2021
DDC Class: 530 Physik
Subject(s): continuum mechanics
elasticity
Hooke’s law
stiffness
symmetry class
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2020
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: Journal of Elasticity
Publisher: SpringerNature
Publisher Place: London [u.a.]
Volume: 141
Issue: 2
Publisher DOI: 10.1007/s10659-020-09787-4
Page Start: 349
Page End: 361
EISSN: 1573-2681
ISSN: 0374-3535
Appears in Collections:FG Kontinuumsmechanik und Materialtheorie » Publications

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