期刊
JOURNAL OF ELASTICITY
卷 142, 期 1, 页码 1-33出版社
SPRINGER
DOI: 10.1007/s10659-020-09784-7
关键词
Elasticity tensor; Anisotropy; Natural basis; Symmetry classes; Covariants
资金
- CNRS Projet 80\Prime GAMM (Geometrie algebrique complexe/reelle et mecanique des materiaux)
We propose an effective geometrical approach to recover the normal form of a given Elasticity tensor. We produce a rotation which brings an Elasticity tensor onto its normal form, given its components in any orthonormal frame, and this for any tensor of any symmetry class. Our methodology relies on the use of specific covariants and on the geometric characterization of each symmetry class using these covariants. An algorithm to detect the symmetry class of an Elasticity tensor is finally formulated.
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